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Physics 101 Mechanics
May 2023
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Physics 101 Mechanics
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May 5, 2023
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May 5 of 2023
5. A mass weighing 20 pounds stretches a spring 6 inches. The mass is initially released from rest from a point 6 inches below the equilibrium position. (a) Find the position of the mass at the times $t = frac{pi}{12}$, $frac{pi}{8}$, $frac{pi}{6}$, $frac{pi}{4}$, and $frac{9pi}{32}$ s. (b)…
Consider the following configuration. It is claimed that the total thermal resistance from sink to ambient is given by hA^2mC, Heat Sink, h m, T 15
XP + 4x. The differential equation is defined as x'' = -8ve^x'' = 2zJp. Solve using the Laplace method under initial conditions.
Q1/Examine the system in Figure I and answer the following: 6M) I-What is the type of the control volume surrounding it? 2-Write the continuity equation of the system. 3-Mention what type of energy exchange that happens between the system and what surrounds it? Egestion Hears
F(s) = s + 5. Find the inverse Laplace transform of 28s + 97. -1[F(s)] = ?
Consider a two-dimensional (planar), steady and incompressible flow in the en trance region of a duct leading to the fully developed region, as shown. Velocity profile at the entrance is Uo which is uniform. At length L the flow becomes fully developed. Fluid viscosity is and its density of .…
A double slide mechanism is seen in the figure. The mass of limb 3 is m3 = 1 kg, and the length is L3 = 250 mm. The masses of limbs 2 and 4 are negligible. The distance y = 200 mm. The xy plane is the horizontal plane. Calculate the acceleration of point g3.
f(t) = cos^2(t) Find the Laplace transform of the expression i = ?
(a) An airplane with a wingspan of 17 m and a total weight of 20,000 kg is flying at 250 m/s at 36,000 ft, where the pressure is 22,500 Pa and the temperature is -50°C. The lift coefficient is 0.2. Calculate the wing area and the minimum induced drag. Note: Assume an elliptical lift…
An S-76 x 11 beam (A = 1425 mm^2, Ix = 1.22 x 10^6 mm^4, ly = 0.244 x 10^6 mm) is 2 meters long and made of structural steel (E = 200 GPa, yield strength = 250 MPa). If the beam is attached via pin joints at either end... a. What is the slenderness ratio of the beam described above? (5 pts)…
A solid cylindrical shaft of an unknown material has a length of 50 cm and a diameter of 4 cm. If we apply a 600 Nm torque to the shaft, it is noticed that the shaft twists by a total of 2 radians. Based on this information, determine the modulus of rigidity (G) for the material in the shaft.…
A 0.4 m long copper bar is subjected to a temperature of 20°C on the left end and 300°C on the right end. Assuming that the initial temperature of the bar is 0°C, find the temperature distribution in the rod at time t = 9 seconds using both explicit and implicit methods. The grid size Ax =…
A composite panel composed of three 1 m thick plates (Fig. Q6). The conductivities of the plates from left to right are 30 W/(m·K), 20 W/(m·K), and 10 W/(m·K), respectively. The far-right sides of the panel are exposed to uniformly distributed radiation of 300 W/m². Calculate the…
Using the Method of Sections or Method of Joints, solve for the forces in members BC, CG, and CF, and state whether each of those members is in tension or compression. Clearly draw all free-body diagrams associated with your solution method.
In the drive of the given mechanism, since the limb is used, extract the equations that give the bond forces of this mechanism and write these equations in matrix form. In the case where θ=0, the spring is in a free state. (There is no friction in the system. L2F=mao T = Inner, Inner = m/12 a)…
Can you obtain the equation of motion of the system given in the figure by following the process sequence given in the figures? IOA1 = |AB| = AC | = / AE] = Iis. The masses of the piston with each separate part are equal to m. When θ = 0, the spring is in a free state. 4IEC = IOB = ml^2a.…
Since the second limb is used to drive the given mechanism, extract the equations giving the bond strengths of this mechanism and write these equations in matrix form. When θ = 0, the spring is in free state. There is no friction in the system. F = ma T = 1a1rod = m^2 7 a) Obtain the center…
L = 500 mm; it's cut off by image. EXERCISE 3.22: The disk centered at point B is an optical mirror that is positioned by servo-controlled arms. Angle θ is the rotation about the stationary horizontal shaft, φis the rotation of the motor housing about shaft OA, and ψ is the rotation of the…
Obtain the equation of motion of the system given in the figure by following the sequence of operations given in the options. OA=|AB|=|AC|=|AE|=l. The masses of each edge piece and piston are m. The spring is in free state: 4 1Ec=10B=m12 The power equation for planar mechanisms: F+T=ma+1ca a)…
Text: Draw on the paper. Question) Given the following sentence descriptions of geometric tolerances, sketch the feature control frame for each: a) The surface must be parallel within a five-thousandths of an inch tolerance zone relative to datum feature A. b) The surface must be round within…
Q3 (20 points) For system below, define a set of vectors that is suitable for a complete kinematic analysis of the mechanism. Label and show the sense and orientation of each vector. Write the vector loop equation(s) for the mechanism. Identify suitable input(s), known quantities, unknown…
Create the Solid Model represented by the two-view drawing shown in Figure below in SolidWorks. Then create the two-view drawing and add the geometric dimensioning information per the following information: 2.500 .260 4X.250 R2.000 1.505 1.625 .500 .490 1.000 .990 .506 500 b) In the right-side…
As shown in the Figure, in a vapor compression refrigeration cycle using R134a with 175 kW cooling capacity, the output of the evaporator is saturated vapor. The main compressor is isentropic and compresses the R134a vapor up to a 1.2 MPa pressure. Some of the saturated vapor is taken at the…
Can you solve it with y? A. b. T. Consider the cube with sides a = 15 cm, b = 10 cm, and c = 20 cm. The block is tested under triaxial forces that are applied in the x, y, and z directions. Assume that the forces applied have magnitudes of F = 3 x 10N, F2 = 2 x 10N, and F3 = 1 x 10N. The…
With the formula: shaft shoulder (see figure below). Draw the free body diagram for the shaft and do the following: Problem Notch A necessary for determining this distribution. Note that "m" in the formula represents the real (acting in the notch) stresses, not nominal stresses. Attention:…
help me do in detail...step by steps plss A rod consisting of two cylindrical portions AB and BC is constrained at both ends.Portion 4B is made of bronze and portion BC is made of aluminum.Cross-scctional area and material properties are as shown in the Figure 2. The rod is in unstressed…
QUESTION 3 [20 MARKS] Force, determine the force P exerted on the plate. [20 Marks] [CLO1, PLO1, C3] 75 mm 250 mm 60 mm Figure 3
Q5. (15%) The velocity profile in water flow down a spillway is given approximately by u=(U)(y/h), where y=0 denotes the bottom and the depth is h. If U=1.6 m/s, h=3 m, and the width is 20 m, how long will it take 10 m of water to pass this section of the spillway? A) 119 s B) 384 s C) 703…
Q6. (15%) The velocity components in a flow of fluid are specified as v1 = 5xt + yaz + 12 m/s, v2 = 3xy^2 + y m/s, and v3 = 4 + 2ty m/s, where x, y, and z are given in meters and t in seconds. What is the magnitude of the velocity vector at this point (2, 4, 3) m and time t = 4 s? A) 122.45 m/s…
Q7. (15%) An oil (with p=869 kg/m^3, ĂŽÂĽ=0.0814 kg/ms) flows through a cast iron pipe at a velocity of 1.0 m/s. The pipe is 45.0 m long and has a diameter of 150 mm. Find the head loss due to friction. A) 0.215 m B) 0.40 m C) 0.61 m D) 1.21 m E) 3.17 m
Q2.15% A horizontal pipeline coming from a large dam is 2m in diameter. It is closed by a circular door whose center or centroid is 40m below the dam's water surface. Locate the door's center of pressure. A-0.0015m B-0.0020m C-0.0027m D-0.0036m E-0.0058m Tarayicida A
v = 3xy^2 + 2 + y m/s, and v = 4 + 2ty m/s, where x, y, and z are given in meters and t in seconds. What is the magnitude of the velocity vector at this point (2, 4, 3) m and time t = 4 s? A) 122.45 m/s B) 157.32 m/s C) 183.56 m/s D) 236.25 m/s E) 364.05 m/s
The diagram shows an open-topped tank used for storing coolant. The tank has a 400 mm wide hinged door. Coolant Hinged door 630 Hinge Diagram not to scale and all dimensions in mm. 1 - Calculate the overturning moment of the door around the hinge. State your answer to 3 significant figures…
If the F1N force is applied, the length of the arm is 1 m and its mass is given as 10 kg. Calculate the force acting on the spring for system balance. The system is frictionless.
A horizontal pipeline coming from a large dam is 2 m in diameter; it is closed by a circular door whose center or centroid is 40 m below the dam's water surface. Locate the door's center of pressure.
Q1. (15%) A 3 mm space between two parallel plates is filled with a viscous fluid. One plate is moving with a velocity of 1 m/s. Find the flow rate Q if the plate's width is 25 cm. A) 0.00011 m/s B) 0.00025 m/s C) 0.00038 m/s D) 0.00043 m/s E) 0.00050 m/s
Compute the following geometric properties of the wing box: a. Cross-section Area b. Centroid c. Moments of inertia of cross-section I_yy, I_zz, and I_yz about the centroid All the given info is listed below: Given: At an operating RPM of 225 rpm, each blade has to generate 8,700 lbs of lift.…
The diagram shows part of a mechanical system. R40 R30 R10 Driven wheel Pulley wheel Driver wheel 1: Calculate the velocity ratio of the system. Rope 2: Calculate the time taken to raise the mass through a distance of 1500mm. Mass = 200g. 3: Explain how increasing the diameter of the driver…
Since the system is in equilibrium, find the weight of the sphere. The rope passes freely through the A ring. (35 points) 1.5m C 2m F2 (N)
The specific internal energy, pressure, and specific volume of a particular gas are related by the equation pv = u, where y = 1.4. A quantity of this gas is enclosed in a cylinder by a piston. Starting from an initial state of p = 1 bar and v = 0.85 m/kg, the gas undergoes the following cyclic…
Engineering and Physical Sciences Physics Paper B Paper 2 Resistance 9. A current of 4.0 mA flows through a fine piece of resistance wire when the potential difference across it is 8.0 V. What is the resistance of the wire? (3) Resistivity 10. The radius of a copper wire is 1.63 mm. A potential…
Please solve all Circle the correct answer: a) How many unknown support reactions are there in this problem (see Figure 1-a)? a. Two forces and two couple moments b. One force and one couple moment c. Three forces d. Three forces and two couple moments b) The centroid (y) of the triangular…
Determine the components of reaction acting at the pin A and the roller B. 30 N 450 N 300 N/m 1500 N-m 3 m
Solve the left figure. Pick only one to solve. a) Locate the centroid of the area. Or b) Locate the centroid of the composite area. (25) 3 in. 3 in. 24 x
The composition of major components in intracellular fluid is listed below in column 2. Assume that a neutrophil having this intracellular fluid composition is placed in a solution having the composition shown in column 3. c. Estimate the osmotic pressure difference across the cell membrane…
Q2/ Show in detail that the entropy at the turbine flow exit is 6.7282. T = 400°C +1 P = 8 MPa ηt = 90% Turbine N Pz = 8 kPa
A structure constructed of 4 rigidly fixed members AB, BC, BD, and DE is loaded as shown in Figure 2. Determine: (a) the reactions at supports C and E. (b) the internal force and moment resultants on a cross section at point O.
Test No. 2 Question: Draw the sketch of a differential band brake and derive the formula for braking torque consisting of the following dimensions/parameters: actuating force, parameters of the lever, friction coefficient, angle of wrap, and radius of the drum. Only these quantities can occur…
The disc in the figure rolls without slipping. Find the equivalent mass (m_es), equivalent coefficient (k_es), and equivalent damping coefficient (c_es) for the system by taking the equivalent mass, spring, and damping where the mass m1 is. R m2 L/3 G 2L/3 m3 k2 K mi Rod is not homogeneous k =…
The wing of a monoplane is approximated as depicted in Figure 3. Determine the normal stress in rod AC of the wing, if it has a uniform cross section of 20 x 10^3 m^2. 2m 1.6m w = 5 kN/m T = Im 0 B D Figure 3
In the Windkessel model shown below, dQ/dt + RCQ1 = sin(wt - θ) + QoV1 + (RCw)^2 The product RC has units of time and can be thought of as a characteristic response time for the cardiovascular system. The purpose of this question is to estimate the magnitude of Rc. a. Starting from the…
Consider steady flow of blood in a tube whose thin walls are made up of a linearly elastic Hookean material, so that changes in hoop stress are directly proportional to changes in hoop strain. You may treat the blood as Newtonian, with viscosity μ. a. When blood is flowing, it is observed…
a.determine magnitude of the eguivelent resultant force due to distributed load on a beam. b.determine the location of the equivelent resultant force from point A 404b/8f 30 01 B A aRf 61 K 14
6.79 The flow over a Quonset hut may be approximated by the velocity distribution of Problem 6.63 with 0 0 T. During a storm the wind speed reaches 100 km/hr; the out- side temperature is 5'C. A barometer inside the hut reads 720 mm of mercury; pressure p.. is also 720 mm Hg. The hut has a…
For the double-slider linkage in the posture shown, the angular velocity of the input crank 2 is 42 rad/s clockwise. Find the velocities of points B, C, and D. (Use a vector diagram and your best knowledge of relative velocity) RAo = 2 in, RgA = 10 in, Rca = 4 in, Rcz = 7 in, and Rco = 8 in.
Q1-part b (15 points): By using Kutzbach's criterion, find the mobility of the mechanism below. Determine the number of links, the number of lower pairs, and the number of higher pairs. b) Rolling contact
A resultant force balances the belt and pulley system in the figure Find its application point (calculate the perpendicular distance (mm) from point O) Y 1600[N] X 10[cm] [N]006 120[N]
Please help, I can't figure out how to get the correct stress. Thank you! along the pipe as T=( x2 - 20x + 120)C, where x is in meters. Determine the normal stress developed in the pipe. Assume each tank provides a rigid support at A and B. 150 mm 10 mm Section a -- a 6m
Please, I am running out of time urgently. Question: Instrument: Drawing Problem: To be drawn on an A-4 size paper: Draw three orthographic views of the object shown in perspective. Scale: 1:1 Line quality, layout, neatness, as well as precision of dimensions will be taken into account while…
A 15 cm x 20 cm circuit board is to be cooled by aluminum fins as shown in the figure below. The dimensions of the fins are specified on the figure. To avoid overheating, the temperature of the base surface should be kept under 85°C. Calculate the heat transfer from the fins by assuming…
Required information NOTE:This is a multi-part question Once an answer is submitted you wilbe unable to return to this part. A rigld tank contains 7.5 kg of saturated water mixture at 400 kPa and the heat is supplled to the tank from a Source at 500C.A valve at the bottom of the tank is now…
A unidirectional fiber/epoxy composite is completely restrained at the four edges (fixed edges) and is also prevented from deflecting out of plane. The temperature is increased by ΔT by placing it in compression. Use the mechanical properties and strengths of the composite below to evaluate…
For the passenger car with details given below, the braking effort distribution on the front axle, Ko, is 40%. The coefficient of rolling resistance, fr, is 0.015. Determine which set of tires will lock first on the road surface with μ = 0.5 for the cases below: a) Driver's weight is…
Hello, these results are for an experiment about Pascal's law for thermodynamics. I am writing a report and I need: a. Introduction and Objective b. Methods used in the experiment (materials and procedures) c. Discussion about the results (results are in the picture attached) d.…
Temperature(7). Air 20°C T = 25°C Steel Plate T = 3
For a hollow spherical geometry, the following boundary conditions are given: 1. T(r=1) = T 2. dT/dr = 0 For this geometry, obtain the steady-state temperature distribution equation and determine the heat transfer from the outer surface of the sphere. Hint: Start with the governing equation…
Results Discussion: The 25 layers in our concept are proposed to be stacked in the following order: one layer of S-Glass and Boron epoxy, followed by a layer of aluminum called Al-2024-T3, and so on until layer number 25 is reached. The results: S-Glass and Boron epoxy: 3.272e+00mm,…
Q.3) Obtain the transfer function G(s) = Yig for the mechanical system (Two-mass mechanical system) shown in Figure 1(b), assuming that the initial conditions are zero. (40 points) R J Friction b2 Velocity v2(1) Friction b L M. Velocity v(t) -ore (a) RLC electrical system. (b) Two-mass…
Find the bearing reactions of the loaded protruding beam as shown in the figure. (A and B movable bearings) 20 N/m INOT 10 N/m 5 N/m A B 3 m 1 m 1 m 3 m 1 m 3 m
a. Determine the magnitude of the equivalent resultant force due to the distributed load on a beam. b. Determine the location of the equivalent resultant force from point A. 401618 30 Y B A AK 6+f 71 aef K
Raquiredinformaston NOTEThis is a multi-part question Once an answer is submitted,you will be unable to return to this part. A rigid tank contalns 7.5 kg of saturated water mixture at 400 kPa and the heat is supplled to the tank from a source at 500C.A valve at the bottom of the tank is now…
With an insulation material as shown in the figure, the outer surface of the insulation is exposed to air flow. Check whether condensation occurs on the outer surface of the insulation if D = 82 mm and the dew point temperature is 10°C. Neglect the contact resistance. Liquid at -20°C, h =…
2.4m 900 mm, -B The cylindrical portion of the compressed-air tank shown is fabricated of 10-mm-thick plate welded along a helix forming an angle ß = 25° with the horizontal. Knowing that the allowable stress normal to the weld is 65 MPa, determine the largest gage pressure (p) that can be used…
Relationship between Force and Acceleration when Mass Remains Constant. Place five 20 g masses on the cart and one 20 g mass on the scale pan (SP). For each run, remove one 20 g mass from the cart and place it in the scale pan, and determine the new acceleration for each removal of the mass…
Please help!! Please use MATLAB and give me MATLAB code!! 5. Find out how to use MATLAB's randi function and create a vector that contains 100,000 random numbers between 1 and 100. If the numbers created are completely random, there should be the same number of numbers in any of the following…
the combination of four different forces acting on the O point; determine in terms of severity, direction and direction 70 60W 451 30 X 90N 601 20 60N
Soru 3 Three boards are nailed together to form a beam, which is subjected to a vertical shear force V. Knowing that the spacing between the nails is s = 75 mm and that the allowable shearing force in each nail is 400 N, determine the maximum shear V that can be applied to the beam. Take w =…
As shown in the figure, a W load is suspended by three wires. The system is in equilibrium. Tension force (BD) = 200 kg. Find W in kg.
A manometer is a device that uses the principle of hydrostatics to measure pressure. Cuff sphygmomanometers are used for measuring arterial blood pressure by inflating a cuff around the arm to compress the artery, and then monitoring the air pressure within the cuff with an attached manometer.…
Model the part below in SOLIDWORKS. Model the part below with an orientation identical to the drawing. Note that you will need to pay attention to how you create the base feature (sketch and reference plane) in order to get the orientation correct. Upload your sidprt file with your other…
Please help!! Use MATLAB and give me code!! Please! array1 = [1 4 7 3 array2 I 12 13 11 10 222921 241 2 3 52 4 3 1 7 2 41] Create a new 5x3 array with the name array3 that consists of the first 3 columns of array1 and of a transposed version of the last two columns of array2. Just use one short…
Consider the cube with sides a = 15 cm, b = 10 cm, c = 20 cm. The block is tested under triaxial forces that are applied in the x, y, and z directions. Assume that the forces applied have magnitudes of F = 3 x 10 N, F = 2 x 10 N, and F = 1 x 10 N. The elastic modulus of the cube is E = 3 x 10…
An aluminum plate 30 mm thick (k=237 W/m-K) is attached to a copper plate with a thickness of 15 mm. The copper plate is heated electrically to dissipate a uniform heat flux. The upper surface of the aluminum plate is exposed to convection heat transfer in a condition such that the convection…
Create the equation of motion for the system in the figure and find the natural frequency. M(t) W k 7 r/2 I m 2k m=15kg, k=2000N/m, c=300Ns/m, r=60cm I=30 kg-m, Mt=200.cos5t
A vehicle with properties below climbs a 10% grade at an acceleration of 3 m/s². Find the load distribution (Wf and Wr) on the axles. Take drag into account in your calculation for the speed 90 km/h. For the calculation of the air density: Air pressure = 90 kPa; Temperature: 0 °C. Width =…
Text: zxzx Question 3 (45 points) Consider the discrete-time system y(k) = (10)x(k) (a). Verify the controllability and observability of the system. (b). Design a state feedback control of the form u(k) = -Kx(k) + Nr(k) to make the output of the plant asymptotically track a discrete-time unit…
Q2. Explain how range of motion affects the speed, accuracy, and force potential of movement. Give an example of when the Range of Motion Principle is mediated by other mechanical factors. (15 p.)
Question 2: 16 MPa For the plane stress state shown in the figure: a) Draw the Mohr's circle considering all its details. (Specify the coordinates of the X and Y stress states on the circle, the coordinates of the principal stresses, the coordinate of the maximum shear stress, and the value of…
Which vessels shown in the figure can be approximated as thin-walled cylinders? Assume the modulus of elasticity E of a vein is 1 kPa. What change in pressure occurs if the vessel increases in radius by 3%?
Text: Draw Mohr's circle for each of the 2 different plane stress states shown in the Figure. 18 MPa y! 20 MPa 1) Show the coordinates of the X and Y stress states. (5p) 18 MPa x 5 MPa x 2) Show the principal stresses, the average stress, and the…
006 The cylindrical portion of the compressed-air tank shown is fabricated of 10-mm-thick plate welded along a helix forming an angle =25with the horizontal.Knowing that the allowable stress normal to the weld is 65 MPa determine the largest gage pressure(p) that can be used in the tank 2.4m
Three boards are nailed together to form a beam, as shown, which is subjected to a vertical shear force V. Knowing that the spacing between the nails is s = 75 mm and that the allowable shearing force in each nail is 400 N, determine the maximum shear V that can be applied to the beam. 80…
Q-5 (a) Derive the Equation of Motion and find out the natural frequency of the system as shown in Figure 3. Q-5 Derive the Equation of Motion and find out the natural frequency of the system as shown in Figure 3. [03] W @ Figure 3
A 2 DOF spring-mass system is shown in the figure. k1 k2 k3 MWMV (a) Determine the mass and stiffness matrices. (b) For m=2 kg, m=3 kg, k=12 N/m, k=k=6 N/m, find the natural frequencies and mode shapes of the system. (c) Find the response to initial conditions x(0) = [3] and x(0) = [ ]. (d)…
B. The seat of a helicopter, with the pilot, weighs 1200 N and is found to have a static deflection of 10 mm under self-weight. The vibration of the rotor is transmitted to the seat base as harmonic motion with a frequency of 4.7 Hz and an amplitude of 0.5 mm. (a) Find the total mass of the…
Consider a uniform bar under axial vibrations where E is the elastic modulus, A is the cross-sectional area, L is the length of the bar, and p is the mass density. A lumped mass M is attached to the bar at the free end. a) Write the equations of motion and the boundary conditions. b) Suppose…
Prove that the following LTI system: s^2 + 2ξwns + wn^2 has a resonant frequency ωr = wn√(1 - 2ξ^2) that produces a maximum system gain Mr = M(ωr). Assume wn > 0 and 0 < ξ < 1.
A pendulum is pinned to a slider which is connected to a spring as shown in the figure. The pivot is translating with the slider, while the pendulum is oscillating about the pivot. (a) What is the number of degrees of freedom in this system? (b) Using Lagrange's method, write the equations of…
Problem 1: Rod OAB is rotating counterclockwise with a constant angular velocity of 5 rad/s. In the position shown, collar P is sliding towards A with a constant speed of 0.8 m/s relative to the rod. Find the velocity of P (the collar). Use the rotating axis velocity equation and remember to…
As illustrated in Fig., consider a person pushing a 50 kg file cabinet over a tile-covered floor by applying a 74 N horizontal force. What is the coefficient of friction between the file cabinet and the floor? 15 p.
Please show all steps! Thank you! 3. What would be the change in drag force exerted on a spherical spacecraft (Diameter-5m travelling at 2.7km/s as it drops from 250km to 150km (assume a delta-V of 500 m/s and a density change of 1.7 X 10-10 kg/m3?
Using Integration Method HW10-02: (P10.40) The simply supported beam shown in Figure P10.40 consists of a W410 60 structural steel wide-flange shape [E = 200 GPa; I = 216 * 10^6 mm^4]. For the loading shown, determine the beam deflection at point B. 60 kN 45 kN-m 3 m 6 m FIGURE P10.40
Piston Slider Crank Mechanism (Inline) L3 = 80mm The 40mm crank is rotating at 2,000 RPM. Evaluate the design of the mechanism (such as number of links, input and output transmission angle). Analyze the displacement, velocity, and acceleration of the mechanism, such as limiting position RPM,…
Notice: The beam has two different lengths, length a, where the beam has the area moment of inertia I1 throughout, and b, where the beam has area moment of inertia I2 throughout. A beam with EJ ET Section aieasys unde laad. Find the defbaiy dpa017. P = 939687N E = 1.11110Pa I1 = 7.2741647 *…
A lithium-ion battery can be described by the equivalent circuit model below: Ztots = Vsb2s2 + bs + bo / (s2 + as + 0) Determine the total impedance Ztots. Specifically, find the coefficients a, b, and bz below. Note that the coefficient of s in the denominator is 1. (b) Determine the charge…
Lag Compensator Design Using Frequency Response Techniques The following plant, G(s), is given. The closed-loop system response should have a steady state error of ess = 0.05 for a ramp input, and an overshoot of M% = 10%. G(s) = s^2 + 22s + 75
Proportional Controller Design Using Frequency Response Techniques The following Bode plot describes the periodic steady-state response for a stable plant. Using the frequency response techniques from class, design a proportional controller to yield a closed-loop overshoot of M% = 5%. 40 20…
Transfer Function Fitting Using Bode Plots The following Bode plot describes the periodic steady-state response for a stable plant. Determine an approximate transfer function for the plant. Remember to check both the magnitude and phase plots. 60 40 (8P) 20 Magnitude -20 -40 180 06 Phase…
Use the online calculator (https://tetech.com/peltier-thermoelectric-cooler-module-calculator/) to select a thermoelectric cooler (TEC) for cooling electronic chips. The requirement is that the hot side temperature of the TEC is 25 °C while the working temperature of the chip is at 10 °C. The…
EF CF EG Answers (tolerance 0.5 kN, observe tension positive sign convention) FEF = Number Units FCF = Number Units FEG = Number Units
Prove that the maximum cooling temperature of a thermoelectric cooler is Tmax, where ZT is the figure of merit and Tc is the cold side temperature. What is the cooling capacity (heat load) when the maximum cooling temperature is reached?
Q-4c: Determine the natural frequency of the vibrating system as shown in Figure 1 if m = 10 kg, m2 = 15 kg, and k = 320 N/m. Figure 1: X x^2 [06] m^2
In Figure 1, f(x) = 3 cos(x), a = 3 in., b = 5 in. Determine the moment of inertia of the area about the y-axis. Express your answer with the appropriate units. Figure 1: Value: Units: Submit Request Answer Provide Feedback
Determine the moment of inertia of the area about the axis. Express your answer with the appropriate units. Figure 1 of 1 I = ? Value: Units: Submit Request Answer Provide Feedback
How do I solve this question? Part A Take WAB = 19 rad/s. Figure 1 Determine the angular velocity of link BC at the instant shown. Express your answer to three significant figures and include the appropriate units. WDC Value Units Submit Request Answer Part B Figure 101 Determine the velocity…
12. Architectural Draw the enclosed gazebo roof and floor plan shown. Use dimensions based on your experience or research. Zoom in and out on the drawing. Pan the screen display. Save the drawing as P6-12. Print an 8.5" x 11" copy of the drawing extents, fit to paper, using a portrait…
Please answer the question above (typed) and recreate the shaft in Inventor, showing each step (especially the fillet part).
Consider the unsteady heat conduction behavior of the above problem and answer the following: (a) Write the governing differential equation. (b) Use the appropriate CFL criterion and compute the time-step size for explicit finite difference calculations. (c) Use the MacCormack technique and…
Given the following characteristic equation, use the Routh criteria to determine the stability of the system. If the system is unstable, determine the number of roots lying in the right portion of the complex plane. a + 3a^5 + 5a^4 + 9a^3 + 8a^2 + 61 + 4 = 0
Solve ASAP 5.2 Obtain the exact solution of the equation oud dx agreement with the exact solution? Why? 5.3 A parallel-flow heat exchanger is governed by
Given the characteristic equation a^4 + 6a^3 + 11a^2 + 61 + k = 0, determine the values of k for which the system will be stable.
Suppose we have a 2nd order system described by: 4j + ay + 4y = F(t) Where F(t) is a step function. Suppose we have 3 cases: a) a = 4 b) a = 8 c) a = 16 For all three cases, describe the expected behavior of the system to the step function. If the system is underdamped, calculate the…
6. Given the data listed, (a) Calculate the tail contribution to the pitching moment (b) Plot the tail pitching contribution vs. α (c) Does the tail pitching moment contribute or detract from the longitudinal stability? (d) Why? S = 178 ft² b = 35.9 ft c = 5.0 ft CLα/w = 0.07 / deg CLâ‚€/w…
Use the following data to get displacement, velocity, and acceleration of the system. Use MATLAB with the provided information for the solution and explain the effect of forces on the displacement, velocity, and acceleration of the system. Provide all the codes with figures of displacement,…
Take m = mo = 5kg Determine the magnitude P of the horizontal force required to initiate motion of the block of mass mo for the cases (a) P is applied to the right and (b) P is applied to the left. Complete a general solution in each case, and then evaluate your expression for the values e =…
Assume you have performed linear static analysis on a given part with an external load of 200 N. The material is a ductile material with a yielding strength of 100 MPa. Your simulation shows the maximum von Mises stress as 150 MPa. You have also solved the linear buckling analysis and found…
Computational Fluid Dynamics professional, please. Please write a MATLAB code for the following. 1. Solve the following unsteady 1D heat conduction equation: ∂T/∂t = 3e^(aT) ∂^2T/∂x^2 with the explicit scheme: The problem is a beam of length 10.125 at an initial temperature T(x,t=0)…
Uoluf1on 1 G EM = 0 Pg 2m = W1 L Ha = 86.6.2n - 501pE 13.2.n
Hi, I need to draw this in 3D Max shape and send the solution to my email: mohammed42521. 006 O 1572 1558 1842 1952 06 902 2468 808 4178 816 Y
Hello, I am working on Pascal's law, and I have its results. I need an introduction, objective, and conclusion. Note: if you will include any info from a website, then give me its reference so I can cite it in my report. Objective: To understand the knowledge of thermodynamics and to implement…
You can carry out modal analysis even without specifying any external force. Since buckling is analogous to modal analysis, you can also find buckling loads and associated mode shapes without specifying an external force.
To carry out nonlinear buckling analysis, instead of force control method, we prefer arc-length control in which points corresponding to consecutive load increments are evenly spaced out along the load displacement curve.
Which one of the combinations is true? There has to be a defined loading to run buckling analysis. Linear buckling analysis will report mode shapes, but associated deformation is not quantitative. Structures may continue to remain load bearing, but to be able to determine correctly, we need…
Lengths of the FinsmCart1_Cart21-m Table 12-2. Data and Results for the Elastic Collision Experiment. Condition 1 Condition 2 Trial 1 2 3 4 m (kg) 0.32 0.32 0.33 6.32 m (kg) 0.30 0.32 0.16 910 for Cart 1 at Gate 1s 0.54 0.49 0.5a 0.45 ir for Cart 1 at Gate 1s) 0 C 1.45 1.93 tzr for Cart 2 at…
Your professor assigned a problem to solve by Solidworks for which the applied force is 100 N and asked for the first modelinear buckling load on the part. You have found the buckling coefficient as 2. Then the professor became unreasonable again just before you submit your result and without…
A simply-supported beam has an attached mass and a spring at its midpoint, as shown. Assume that the beam is uniform and its geometric and material properties are specified (including the moment of inertia of the cross-section about its neutral axis). The attached mass has a mass of m and is…
I need an introduction and objective for the Heat exchanger topic. The report follows the academic report format and has to cite/write references that are used in the project. Refer to the course of Introduction to Mechanical Engineering for the format of the Engineering report. Topics:…
2435R, and the heating value of the fuel is 17,800 Btu/lbm. The specific heat ratios for the compressor, burner, and turbine are 1.381, 1.337, and 1.326, respectively. Find the following: (a) the compressor pressure ratio and efficiency, (b) the compressor exit total pressure and total…
Text: Matched so that single-engine maps at STP are available as tabulated below. If a fuel ratio of 0.021 is used, what is the operating Mach number of the aircraft? Airframe Drag Mach Number Drag (lbf) 0.0 G 0.2 4700 0.4 18,800 0.6 42,200 0.8 75,000 1.0 117,200 Single Engine Thrust (lbf)…
Suppose that we have a computer system with a 32-bit logical address using paging for memory management. The page size is 4K bytes and a page table entry in all page tables is 4 bytes. 1. What is the maximum number of pages? 2. Calculate the size in bytes of the page table. 3. Calculate the…
As shown, a spacecraft is in a 300 km altitude circular Earth orbit. Find the total delta-v required and the total transfer time for the depicted bielliptic transfer to a 3000 km altitude coplanar circular orbit. Find the total delta-v required and total transfer time for a Hohmann transfer…
Derive the direction cosine matrix for a 1-2-3 rotation through. Show all your steps.
For simple compressible systems, which kinds of interactions with the surroundings are not permissible? a. surface tension b. inertial c. temperature-driven heat transfer d. compression of the surroundings on the system e. mass transfer Wout = Won Select one: O True O False What are the…
A cable/belt is placed around three parallel pipes/drums. Find: Determine the largest weight W for which equilibrium is maintained.
If d = 1.25 ft, r = 1.5 in, and the weight of the crate, W = 1500 lb, find the maximum tensile stress in AB and CD. Section a-a
A pipe system at an aquarium circulates water through a big-fish tank. It is made of 3 cm diameter cast iron piping and regular flanged elbows (KL=0.3 for each elbow). Assume the pump has a KL = 0.3 and assume that the submerged inlet pipe has KL = 0.8. Determine the pump power needed to…
Please answer quickly along with FBD. Given: Loads of 11 kN and 22 kN are applied at points B and C, respectively. Find: The forces in members AF, FB, and FE of the truss shown below. Indicate whether the members are in tension or compression.
h 0.8 0.4 0.2 0.1 f'(4) 1522 1284 1228 1214 0.8=0.64 0.4=0.16 012=0104 0.1=0.01 8-0514 2dig6 F(x+h)-fCx-h) 2h48 4870.4 3.2 1522 1284 2+0408 30-hh-80+hh 2x0.8 0.5% 1.05 M There is part (c of this question on next page
4. Some partial credit for this question. Fill in the blank. A hypothetical computer stores real three bits for the integer part, and the next four bits for the fractional part. If the binary number stored is 1011 0 1 0 0, what is the base-10 equivalent of this number 1.0100x2?
A 3-lb collar is attached to a spring and slides without friction along a circular rod in a horizontal plane. The spring has an undeformed length of 7 in and a constant of 1.5 lb/in. Knowing that the collar is in equilibrium at A and is given a slight push to get it moving, determine the…
Find the State Space of the system m2 = -cs^2 - y - kz - y (y - h.y - z - h.s - h.nu Sprung Mass m 12 Unsprung Mass m X
Example 8-4: 250mm N06 A 20-kg uniform cylindrical roller, initially at rest, is acted upon by a 90-N force as shown. Knowing that the body rolls without slipping, determine a the velocity of its center G after it has moved l.5 m.b the friction force required to prevent slipping
The base is maintained at a temperature of 370 K, while the dome of the dryer is maintained at 1004 K. If both surfaces of the dryer are dried. A dryer is shaped like a long semi-cylindrical duct of diameter 1.5 m. The base of the dryer is occupied with water-soaked materials to places) T2…
Describe the physical conditions under which a normal shock wave is located within the diverging portion of a CD nozzle, located anywhere from the throat at A* to the exit at Ae. See Figure 5.19 and Example 5.7. a. Can such a situation ever occur for a rocket launch vehicle? b. Can such a…
Required information: Two infinitely long parallel plates of width w are located at a distance w from each other, as shown in the figure. Determine the radiation heat flux between the two surfaces. (Round the answer to three decimal places) 7w/m
Requlred information A circular cone of diameter D is positioned on a common axis with a circular disk,also of dlameter D.at a distance L,as shown in the figure. h e hypothaticel area A3corresponding to the opening of the cone,determine the value of F for L=D=too mm(Round the anaworto three…
Listed below are the critical points and states for an unknown substance. For which cases is it appropriate to assume an ideal gas? a. Tcrit = 156°C, Pcrit = 0.154 MPa, T = 422°F, P = 1.94 bar b. Tcrit = 645°C, Pcrit = 0.00224 MPa, T = 66.3R, P = 0.016 bar c. Tcrit = 1880 R, Pcrit = 308000…
A fuel element of a nuclear reactor is in the shape of a plane wall with h = 1100 W/m - K and T = 250°C. At normal operating power, heat is generated uniformly within the element at a volumetric rate. We will use the explicit finite-difference method to determine the temperature distribution…
Determine the area and the centroid (, y) of the area.( Figure 1) Figure 1 of 1 3ft 3ft
a) Use the transfer function to determine the natural frequency of the system. b) Use the transfer function to determine the damping ratio of the system. c) The impulse response (system response to an impulse input) is shown in the figure. Use the data points shown in the figure to determine…
A gear and a shaft with a nominal diameter of 37 mm are to be assembled with a medium drive fit, as specified in Table 7-9. The gear has a hub with an outside diameter of 60 mm and an overall length of 50 mm. The shaft is made from AISI 1020 CD steel, and the gear is made from steel that has…
For the project, please prepare a report including the required MATLAB files. The following robotic arm has two links that can be considered as rigid slender bars with uniform mass. There are two motors that control the movements of the links. The uncontrolled system has an unstable equilibrium…
For the project, please prepare a report including the required MATLAB files The following robotic arm has two links that can be considered as rigid slender bars with uniform mass. There are two motors that control the movements of the links. The uncontrolled system has an unstable equilibrium…
A variation of the simple vapor-compression cycle is designed to reduce the compressor work by preheating the refrigerant before it enters the compressor. In the system shown on the next page, a heat exchanger is used to superheat the refrigerant before it enters the compressor. Since the…
Please solve question 1 and 2 in detail. Answer all questions, please. Hint: (Question 1) Please double-check your tolerance stack with a couple of things in mind: - Be mindful of the radial vs. diametrical contributions of each dimension. - Note that the concentricity spec is defined for…
Consider a simple, ideal Rankine cycle using water as the working fluid. Steam exits the turbine as a saturated vapor, and heat is transferred to the steam at a rate of 36 MW in the boiler. Further operating data is given below. Turbine: P1 = 6 MPa, P2 = 7.5 kPa (inlet and outlet…
Please don't forget the T-S and P-V diagrams for a gasoline engine. Question-5: A gasoline engine of 2.4 L runs at 2500 RPM with a compression ratio of 9:1. The state before compression is 40 kPa, T K, and after combustion, it is at 2000 K. a) Find the highest T and P in the cycle, the…
Part 8 Assume A is pinned and B is a roller in Figure. Take that w=8.5 kN/m. Determine the normal force, shear force, and moment at point C. Follow the sign convention. Determine the shear force at point C. Express your answer to three significant figures and include the appropriate…
For a KIC test to be valid, the plastic zone size must be substantially smaller than the specimen. This is easily achieved in brittle materials, but for ductile materials, the specimen size and breaking load become prohibitively large. A compact tension specimen is shown below with…
(a) In class, we derived the stress relaxation response for the standard linear solid model For Fig. 1, the governing equation may be written as E2 EE1 +(E2+E1). (1) Derive the corresponding stress relaxation response for input: (t) = Eo;t 0. (2) E, 0000000 000000 E2 n Figure 1: Standard…
A bubbler level measurement system is shown in Figure Q1(b), where the liquid level is determined by measuring the back pressure of air inside a dip tube inserted into the vessel. ii. If the system is to be modified into a closed tank system, will there be any changes in the range of the new…
Determine the angular velocity wAR (positive if counterclockwise, negative if clockwise) of the telescoping link AB for the position shown where the driving links have the angular velocities indicated. 170 3.8 rad/s 60 195 Dimensions in millimeters 65 2.0 rad/s Answer: WAB rad/s
D3-1: The Cessna Citation executive jet weighs 67 kN and has a wing area of 32 m^2. It cruises at 10 km standard altitude with a lift coefficient of 0.21 and a drag coefficient of 0.015. Estimate a) the cruise speed in mph and b) the horsepower required to maintain cruise velocity. (Hint: get…
Water boils at a lower temperature as surrounding pressure decreases, as shown in the table: Temperature (F) Pressure (psia) 180 190 200 210 212 7.52 9.34 11.53 14.13 14.70 You have set up camp at 11,000 ft in preparation for a sunrise ascent of Grand Teton. Assuming standard atmosphere…
Write a MATLAB code to set up this optimization problem. Just the setup and definition of variables, do NOT attempt to solve the optimization problem. Find u tover in [0,1] to minimize J = t subject to a - rho = U1 2theta = U a12 U3 dt2 70 theta p 0 = phi k = pi u3 = 3 ((L - ho)3 + ho3) 3 The…
Text: 1Fsinwt Derive the equations of motion for the following system using Lagrange's method. Write these equations of motion in matrix form. m, mz
Find the angle for equilibrium using the equations of equilibrium (i.e. sum of forces equals zero and sum of moments equals zero). The final answer for theta will be 68 degrees. I just want to see the work shown to get that answer. Thanks! Example 11.1 (1 of 5) Determine the angle for…
Exercise 2: Calculation and Simulation of Steady-State Error in a Closed-Loop System For the closed-loop system shown below, calculate and simulate the steady-state error in terms of K=10, 100, 1000, when the input is 5u(t), 5tu(t), and 5tu(t). You can use either MATLAB command or…
Please fill out the chart below! Thank you and use MATLAB CODE Exercise 1: Effects of Varying K on Stability, Transient, and Steady-State Error for a Ramp Input For the closed-loop system shown below, discuss the effects that varying the value of K has on the stability, transient response,…
Determine how long it takes for the cylinder to stop spinning. Express your answer to three significant figures and include the appropriate units. The 46-kg cylinder has an angular velocity of 30 rad/s when it is brought into contact with the surface at C, as shown in Figure 1. The axis of the…
Output axis JO+BO+KO=Hw Input axis Case Wheel spins at constant velocity Constant of the restraining spring attached to the spin axis. Determine the transfer function relating output y to the input w. K spin axis
QUESTION 4 (25 MARKS) A tube of outer diameter d = 28 mm and length L = 4 m is maintained at a constant temperature of 30°C. To reduce the heat loss to the ambient air at 25°C with ha = 12.5 W/mK, the tube is covered with insulation (k = 0.15 W/m-K) of thickness 10 mm. a) Find the heat loss…
Theory of Machines A packaging machine uses a double dwell cam-follower system for its process. The critical extreme position (CEP) specification is as follows: Dwell at 0mm when: 0-120 Rise at 35mm when: 120-180 Dwell at 35mm when: 180-300 Fall to 0mm when: 300-360 Cam = 2x rad/s (a) Sketch…
Consider the control of an unstable plant with transfer function G(s) = 1/(s(s-10)). Feedback control is used to stabilize the plant as shown below. G(s) G(s) To stabilize the plant, PD control is chosen: Gcs = Kp + Tp*s A. Find the equation for the closed-loop transfer function, Rs. B.…
A rocket motor is expected to be designed for the use of the 2nd stage of a space launcher. It is required to work at an altitude of 19.1 km, at which the atmospheric pressure P = 6083 Pa. If the propellants are given, and the chamber pressure Pc = 8.05 MPa, and the exhausted gaseous products…
Find the Moment of Inertia (x and y) of the following shape. The quarter circle represents no material and the dimensions are: a = 9 m, b = 7 m, c = 4 m. Triangle Cutout a a/3 Half Circle
10.29 The line of action of the axial load P of magnitude 270 kN is parallel to the geometric axis of the column AB and intersects the x-axis at e = 14 mm. Using E = 200 GPa, determine the deflection of the midpoint C of the column and the maximum stress in the column. W200x52 parallel W20052…
Concrete is a commonly used construction material. One of its deficiencies is its relative weakness and inability to carry tension stress. It is pretty strong in compression, but cracks easily when loaded in tension. One solution to this is prestressing - if the concrete is initially in…
How would you show in a Creo drawing the rotation of the center arm and the angle of the tires relative to the inline positions for the left and right positions? In-Line Position Left Position Right Position
Explain bending and shear moment properly along with shear and moment plots. The shaft shown in the figure is machined from AISI 1040 CD steel. The shaft rotates at 1600 rpm and is supported in rolling bearings at A and B. The applied forces are F = 2500 lbf and F = 1000 lbf. Determine the…
Compute the system transfer function based on the following state-space 4 1 representation of a system. [0.125-1.375] 0.25 B= 0.34375 C=[1 0] D=1
Find the lengths marked on the scale. Answer in DECIMAL FORM, rounded to two digits, and do NOT include units. Length marked at D is Length marked at E is Length marked at F is OTHS 100 OOTHS 10 20 30 40 50 60 70 80 90
Please answer 16.6. Thanks! 16.1 Two identical 0.4-kg slender rods AB and BC are welded together to form an L-shaped assembly. The assembly is guided by two small wheels that roll freely in inclined parallel slots cut in a vertical plate. Knowing that θ = 30, determine: a) The acceleration of…
Derive the equation of motion for the following system, using the rotation of the beam about the hinge as the degree-of-freedom. Note that there is an applied force (Fo sin wt) as well as an applied moment (Mo sin wt). The total bar mass is m. Treat the bar as two bars: one to the left of the…
Consider a wing with the following specifications: AR = 5, b = 10, symmetric airfoil section. Assume that the geometric angle of attack is constant and the lift coefficient produced at this angle is C = 0.4. Obtain the geometric angle of attack. Also, consider the wing as a trapezoid shape.
Please, could someone help me with a question? I want an answer for each point (a-h), including all steps and details. Point h needs to draw Mohr's Circle for the stress state. Thank you! A stress state is defined by: σx = 300 MPa σy = -100 MPa Ï„xy = 80 MPa (b) The largest principal…
In the class, we found the general solution for the differential equation y-4y^4y=0 to be y=Ax+Be^2. a) Show that y(x) is a solution of the differential equation by substituting it into the equation. b) Find the solution that satisfies the boundary conditions: y(x=0)=1 and y'(x=0)=0. 2. Solve…
The governing equation of motion of the forced damped single degree-of-freedom system is given by: 4x''(t) + 20x'(t) + 1200x(t) = 8sin(20t), where xâ‚€ = 0.04 m and vâ‚€ = 1.01 m/s. Using the method of undetermined coefficients, find the particular solution of the system.
Consider the combustion of a fuel: C7H15 in 2*100% theoretical air (X is an integer). What is the fuel-air ratio for combustion?
What differentiates CONWIP from Kanban?
5. A mass weighing 20 pounds stretches a spring 6 inches. The mass is initially released from rest from a point 6 inches below the equilibrium position. (a) Find the position of the mass at the times $t = frac{pi}{12}$, $frac{pi}{8}$, $frac{pi}{6}$, $frac{pi}{4}$, and $frac{9pi}{32}$ s. (b)…
Consider the following configuration. It is claimed that the total thermal resistance from sink to ambient is given by hA^2mC, Heat Sink, h m, T 15
XP + 4x. The differential equation is defined as x'' = -8ve^x'' = 2zJp. Solve using the Laplace method under initial conditions.
Q1/Examine the system in Figure I and answer the following: 6M) I-What is the type of the control volume surrounding it? 2-Write the continuity equation of the system. 3-Mention what type of energy exchange that happens between the system and what surrounds it? Egestion Hears
F(s) = s + 5. Find the inverse Laplace transform of 28s + 97. -1[F(s)] = ?
Consider a two-dimensional (planar), steady and incompressible flow in the en trance region of a duct leading to the fully developed region, as shown. Velocity profile at the entrance is Uo which is uniform. At length L the flow becomes fully developed. Fluid viscosity is and its density of .…
A double slide mechanism is seen in the figure. The mass of limb 3 is m3 = 1 kg, and the length is L3 = 250 mm. The masses of limbs 2 and 4 are negligible. The distance y = 200 mm. The xy plane is the horizontal plane. Calculate the acceleration of point g3.
f(t) = cos^2(t) Find the Laplace transform of the expression i = ?
(a) An airplane with a wingspan of 17 m and a total weight of 20,000 kg is flying at 250 m/s at 36,000 ft, where the pressure is 22,500 Pa and the temperature is -50°C. The lift coefficient is 0.2. Calculate the wing area and the minimum induced drag. Note: Assume an elliptical lift…
An S-76 x 11 beam (A = 1425 mm^2, Ix = 1.22 x 10^6 mm^4, ly = 0.244 x 10^6 mm) is 2 meters long and made of structural steel (E = 200 GPa, yield strength = 250 MPa). If the beam is attached via pin joints at either end... a. What is the slenderness ratio of the beam described above? (5 pts)…
A solid cylindrical shaft of an unknown material has a length of 50 cm and a diameter of 4 cm. If we apply a 600 Nm torque to the shaft, it is noticed that the shaft twists by a total of 2 radians. Based on this information, determine the modulus of rigidity (G) for the material in the shaft.…
A 0.4 m long copper bar is subjected to a temperature of 20°C on the left end and 300°C on the right end. Assuming that the initial temperature of the bar is 0°C, find the temperature distribution in the rod at time t = 9 seconds using both explicit and implicit methods. The grid size Ax =…
A composite panel composed of three 1 m thick plates (Fig. Q6). The conductivities of the plates from left to right are 30 W/(m·K), 20 W/(m·K), and 10 W/(m·K), respectively. The far-right sides of the panel are exposed to uniformly distributed radiation of 300 W/m². Calculate the…
Using the Method of Sections or Method of Joints, solve for the forces in members BC, CG, and CF, and state whether each of those members is in tension or compression. Clearly draw all free-body diagrams associated with your solution method.
In the drive of the given mechanism, since the limb is used, extract the equations that give the bond forces of this mechanism and write these equations in matrix form. In the case where θ=0, the spring is in a free state. (There is no friction in the system. L2F=mao T = Inner, Inner = m/12 a)…
Can you obtain the equation of motion of the system given in the figure by following the process sequence given in the figures? IOA1 = |AB| = AC | = / AE] = Iis. The masses of the piston with each separate part are equal to m. When θ = 0, the spring is in a free state. 4IEC = IOB = ml^2a.…
Since the second limb is used to drive the given mechanism, extract the equations giving the bond strengths of this mechanism and write these equations in matrix form. When θ = 0, the spring is in free state. There is no friction in the system. F = ma T = 1a1rod = m^2 7 a) Obtain the center…
L = 500 mm; it's cut off by image. EXERCISE 3.22: The disk centered at point B is an optical mirror that is positioned by servo-controlled arms. Angle θ is the rotation about the stationary horizontal shaft, φis the rotation of the motor housing about shaft OA, and ψ is the rotation of the…
Obtain the equation of motion of the system given in the figure by following the sequence of operations given in the options. OA=|AB|=|AC|=|AE|=l. The masses of each edge piece and piston are m. The spring is in free state: 4 1Ec=10B=m12 The power equation for planar mechanisms: F+T=ma+1ca a)…
Text: Draw on the paper. Question) Given the following sentence descriptions of geometric tolerances, sketch the feature control frame for each: a) The surface must be parallel within a five-thousandths of an inch tolerance zone relative to datum feature A. b) The surface must be round within…
Q3 (20 points) For system below, define a set of vectors that is suitable for a complete kinematic analysis of the mechanism. Label and show the sense and orientation of each vector. Write the vector loop equation(s) for the mechanism. Identify suitable input(s), known quantities, unknown…
Create the Solid Model represented by the two-view drawing shown in Figure below in SolidWorks. Then create the two-view drawing and add the geometric dimensioning information per the following information: 2.500 .260 4X.250 R2.000 1.505 1.625 .500 .490 1.000 .990 .506 500 b) In the right-side…
As shown in the Figure, in a vapor compression refrigeration cycle using R134a with 175 kW cooling capacity, the output of the evaporator is saturated vapor. The main compressor is isentropic and compresses the R134a vapor up to a 1.2 MPa pressure. Some of the saturated vapor is taken at the…
Can you solve it with y? A. b. T. Consider the cube with sides a = 15 cm, b = 10 cm, and c = 20 cm. The block is tested under triaxial forces that are applied in the x, y, and z directions. Assume that the forces applied have magnitudes of F = 3 x 10N, F2 = 2 x 10N, and F3 = 1 x 10N. The…
With the formula: shaft shoulder (see figure below). Draw the free body diagram for the shaft and do the following: Problem Notch A necessary for determining this distribution. Note that "m" in the formula represents the real (acting in the notch) stresses, not nominal stresses. Attention:…
help me do in detail...step by steps plss A rod consisting of two cylindrical portions AB and BC is constrained at both ends.Portion 4B is made of bronze and portion BC is made of aluminum.Cross-scctional area and material properties are as shown in the Figure 2. The rod is in unstressed…
QUESTION 3 [20 MARKS] Force, determine the force P exerted on the plate. [20 Marks] [CLO1, PLO1, C3] 75 mm 250 mm 60 mm Figure 3
Q5. (15%) The velocity profile in water flow down a spillway is given approximately by u=(U)(y/h), where y=0 denotes the bottom and the depth is h. If U=1.6 m/s, h=3 m, and the width is 20 m, how long will it take 10 m of water to pass this section of the spillway? A) 119 s B) 384 s C) 703…
Q6. (15%) The velocity components in a flow of fluid are specified as v1 = 5xt + yaz + 12 m/s, v2 = 3xy^2 + y m/s, and v3 = 4 + 2ty m/s, where x, y, and z are given in meters and t in seconds. What is the magnitude of the velocity vector at this point (2, 4, 3) m and time t = 4 s? A) 122.45 m/s…
Q7. (15%) An oil (with p=869 kg/m^3, ĂŽÂĽ=0.0814 kg/ms) flows through a cast iron pipe at a velocity of 1.0 m/s. The pipe is 45.0 m long and has a diameter of 150 mm. Find the head loss due to friction. A) 0.215 m B) 0.40 m C) 0.61 m D) 1.21 m E) 3.17 m
Q2.15% A horizontal pipeline coming from a large dam is 2m in diameter. It is closed by a circular door whose center or centroid is 40m below the dam's water surface. Locate the door's center of pressure. A-0.0015m B-0.0020m C-0.0027m D-0.0036m E-0.0058m Tarayicida A
v = 3xy^2 + 2 + y m/s, and v = 4 + 2ty m/s, where x, y, and z are given in meters and t in seconds. What is the magnitude of the velocity vector at this point (2, 4, 3) m and time t = 4 s? A) 122.45 m/s B) 157.32 m/s C) 183.56 m/s D) 236.25 m/s E) 364.05 m/s
The diagram shows an open-topped tank used for storing coolant. The tank has a 400 mm wide hinged door. Coolant Hinged door 630 Hinge Diagram not to scale and all dimensions in mm. 1 - Calculate the overturning moment of the door around the hinge. State your answer to 3 significant figures…
If the F1N force is applied, the length of the arm is 1 m and its mass is given as 10 kg. Calculate the force acting on the spring for system balance. The system is frictionless.
A horizontal pipeline coming from a large dam is 2 m in diameter; it is closed by a circular door whose center or centroid is 40 m below the dam's water surface. Locate the door's center of pressure.
Q1. (15%) A 3 mm space between two parallel plates is filled with a viscous fluid. One plate is moving with a velocity of 1 m/s. Find the flow rate Q if the plate's width is 25 cm. A) 0.00011 m/s B) 0.00025 m/s C) 0.00038 m/s D) 0.00043 m/s E) 0.00050 m/s
Compute the following geometric properties of the wing box: a. Cross-section Area b. Centroid c. Moments of inertia of cross-section I_yy, I_zz, and I_yz about the centroid All the given info is listed below: Given: At an operating RPM of 225 rpm, each blade has to generate 8,700 lbs of lift.…
The diagram shows part of a mechanical system. R40 R30 R10 Driven wheel Pulley wheel Driver wheel 1: Calculate the velocity ratio of the system. Rope 2: Calculate the time taken to raise the mass through a distance of 1500mm. Mass = 200g. 3: Explain how increasing the diameter of the driver…
Since the system is in equilibrium, find the weight of the sphere. The rope passes freely through the A ring. (35 points) 1.5m C 2m F2 (N)
The specific internal energy, pressure, and specific volume of a particular gas are related by the equation pv = u, where y = 1.4. A quantity of this gas is enclosed in a cylinder by a piston. Starting from an initial state of p = 1 bar and v = 0.85 m/kg, the gas undergoes the following cyclic…
Engineering and Physical Sciences Physics Paper B Paper 2 Resistance 9. A current of 4.0 mA flows through a fine piece of resistance wire when the potential difference across it is 8.0 V. What is the resistance of the wire? (3) Resistivity 10. The radius of a copper wire is 1.63 mm. A potential…
Please solve all Circle the correct answer: a) How many unknown support reactions are there in this problem (see Figure 1-a)? a. Two forces and two couple moments b. One force and one couple moment c. Three forces d. Three forces and two couple moments b) The centroid (y) of the triangular…
Determine the components of reaction acting at the pin A and the roller B. 30 N 450 N 300 N/m 1500 N-m 3 m
Solve the left figure. Pick only one to solve. a) Locate the centroid of the area. Or b) Locate the centroid of the composite area. (25) 3 in. 3 in. 24 x
The composition of major components in intracellular fluid is listed below in column 2. Assume that a neutrophil having this intracellular fluid composition is placed in a solution having the composition shown in column 3. c. Estimate the osmotic pressure difference across the cell membrane…
Q2/ Show in detail that the entropy at the turbine flow exit is 6.7282. T = 400°C +1 P = 8 MPa ηt = 90% Turbine N Pz = 8 kPa
A structure constructed of 4 rigidly fixed members AB, BC, BD, and DE is loaded as shown in Figure 2. Determine: (a) the reactions at supports C and E. (b) the internal force and moment resultants on a cross section at point O.
Test No. 2 Question: Draw the sketch of a differential band brake and derive the formula for braking torque consisting of the following dimensions/parameters: actuating force, parameters of the lever, friction coefficient, angle of wrap, and radius of the drum. Only these quantities can occur…
The disc in the figure rolls without slipping. Find the equivalent mass (m_es), equivalent coefficient (k_es), and equivalent damping coefficient (c_es) for the system by taking the equivalent mass, spring, and damping where the mass m1 is. R m2 L/3 G 2L/3 m3 k2 K mi Rod is not homogeneous k =…
The wing of a monoplane is approximated as depicted in Figure 3. Determine the normal stress in rod AC of the wing, if it has a uniform cross section of 20 x 10^3 m^2. 2m 1.6m w = 5 kN/m T = Im 0 B D Figure 3
In the Windkessel model shown below, dQ/dt + RCQ1 = sin(wt - θ) + QoV1 + (RCw)^2 The product RC has units of time and can be thought of as a characteristic response time for the cardiovascular system. The purpose of this question is to estimate the magnitude of Rc. a. Starting from the…
Consider steady flow of blood in a tube whose thin walls are made up of a linearly elastic Hookean material, so that changes in hoop stress are directly proportional to changes in hoop strain. You may treat the blood as Newtonian, with viscosity μ. a. When blood is flowing, it is observed…
a.determine magnitude of the eguivelent resultant force due to distributed load on a beam. b.determine the location of the equivelent resultant force from point A 404b/8f 30 01 B A aRf 61 K 14
6.79 The flow over a Quonset hut may be approximated by the velocity distribution of Problem 6.63 with 0 0 T. During a storm the wind speed reaches 100 km/hr; the out- side temperature is 5'C. A barometer inside the hut reads 720 mm of mercury; pressure p.. is also 720 mm Hg. The hut has a…
For the double-slider linkage in the posture shown, the angular velocity of the input crank 2 is 42 rad/s clockwise. Find the velocities of points B, C, and D. (Use a vector diagram and your best knowledge of relative velocity) RAo = 2 in, RgA = 10 in, Rca = 4 in, Rcz = 7 in, and Rco = 8 in.
Q1-part b (15 points): By using Kutzbach's criterion, find the mobility of the mechanism below. Determine the number of links, the number of lower pairs, and the number of higher pairs. b) Rolling contact
A resultant force balances the belt and pulley system in the figure Find its application point (calculate the perpendicular distance (mm) from point O) Y 1600[N] X 10[cm] [N]006 120[N]
Please help, I can't figure out how to get the correct stress. Thank you! along the pipe as T=( x2 - 20x + 120)C, where x is in meters. Determine the normal stress developed in the pipe. Assume each tank provides a rigid support at A and B. 150 mm 10 mm Section a -- a 6m
A 15 cm x 20 cm circuit board is to be cooled by aluminum fins as shown in the figure below. The dimensions of the fins are specified on the figure. To avoid overheating, the temperature of the base surface should be kept under 85°C. Calculate the heat transfer from the fins by assuming…
Required information NOTE:This is a multi-part question Once an answer is submitted you wilbe unable to return to this part. A rigld tank contains 7.5 kg of saturated water mixture at 400 kPa and the heat is supplled to the tank from a Source at 500C.A valve at the bottom of the tank is now…
A unidirectional fiber/epoxy composite is completely restrained at the four edges (fixed edges) and is also prevented from deflecting out of plane. The temperature is increased by ΔT by placing it in compression. Use the mechanical properties and strengths of the composite below to evaluate…
For the passenger car with details given below, the braking effort distribution on the front axle, Ko, is 40%. The coefficient of rolling resistance, fr, is 0.015. Determine which set of tires will lock first on the road surface with μ = 0.5 for the cases below: a) Driver's weight is…
Hello, these results are for an experiment about Pascal's law for thermodynamics. I am writing a report and I need: a. Introduction and Objective b. Methods used in the experiment (materials and procedures) c. Discussion about the results (results are in the picture attached) d.…
Temperature(7). Air 20°C T = 25°C Steel Plate T = 3
For a hollow spherical geometry, the following boundary conditions are given: 1. T(r=1) = T 2. dT/dr = 0 For this geometry, obtain the steady-state temperature distribution equation and determine the heat transfer from the outer surface of the sphere. Hint: Start with the governing equation…
Results Discussion: The 25 layers in our concept are proposed to be stacked in the following order: one layer of S-Glass and Boron epoxy, followed by a layer of aluminum called Al-2024-T3, and so on until layer number 25 is reached. The results: S-Glass and Boron epoxy: 3.272e+00mm,…
Q.3) Obtain the transfer function G(s) = Yig for the mechanical system (Two-mass mechanical system) shown in Figure 1(b), assuming that the initial conditions are zero. (40 points) R J Friction b2 Velocity v2(1) Friction b L M. Velocity v(t) -ore (a) RLC electrical system. (b) Two-mass…
Find the bearing reactions of the loaded protruding beam as shown in the figure. (A and B movable bearings) 20 N/m INOT 10 N/m 5 N/m A B 3 m 1 m 1 m 3 m 1 m 3 m
a. Determine the magnitude of the equivalent resultant force due to the distributed load on a beam. b. Determine the location of the equivalent resultant force from point A. 401618 30 Y B A AK 6+f 71 aef K
Raquiredinformaston NOTEThis is a multi-part question Once an answer is submitted,you will be unable to return to this part. A rigid tank contalns 7.5 kg of saturated water mixture at 400 kPa and the heat is supplled to the tank from a source at 500C.A valve at the bottom of the tank is now…
With an insulation material as shown in the figure, the outer surface of the insulation is exposed to air flow. Check whether condensation occurs on the outer surface of the insulation if D = 82 mm and the dew point temperature is 10°C. Neglect the contact resistance. Liquid at -20°C, h =…
2.4m 900 mm, -B The cylindrical portion of the compressed-air tank shown is fabricated of 10-mm-thick plate welded along a helix forming an angle ß = 25° with the horizontal. Knowing that the allowable stress normal to the weld is 65 MPa, determine the largest gage pressure (p) that can be used…
Relationship between Force and Acceleration when Mass Remains Constant. Place five 20 g masses on the cart and one 20 g mass on the scale pan (SP). For each run, remove one 20 g mass from the cart and place it in the scale pan, and determine the new acceleration for each removal of the mass…
Please help!! Please use MATLAB and give me MATLAB code!! 5. Find out how to use MATLAB's randi function and create a vector that contains 100,000 random numbers between 1 and 100. If the numbers created are completely random, there should be the same number of numbers in any of the following…
the combination of four different forces acting on the O point; determine in terms of severity, direction and direction 70 60W 451 30 X 90N 601 20 60N
Soru 3 Three boards are nailed together to form a beam, which is subjected to a vertical shear force V. Knowing that the spacing between the nails is s = 75 mm and that the allowable shearing force in each nail is 400 N, determine the maximum shear V that can be applied to the beam. Take w =…
As shown in the figure, a W load is suspended by three wires. The system is in equilibrium. Tension force (BD) = 200 kg. Find W in kg.
A manometer is a device that uses the principle of hydrostatics to measure pressure. Cuff sphygmomanometers are used for measuring arterial blood pressure by inflating a cuff around the arm to compress the artery, and then monitoring the air pressure within the cuff with an attached manometer.…
Model the part below in SOLIDWORKS. Model the part below with an orientation identical to the drawing. Note that you will need to pay attention to how you create the base feature (sketch and reference plane) in order to get the orientation correct. Upload your sidprt file with your other…
Please help!! Use MATLAB and give me code!! Please! array1 = [1 4 7 3 array2 I 12 13 11 10 222921 241 2 3 52 4 3 1 7 2 41] Create a new 5x3 array with the name array3 that consists of the first 3 columns of array1 and of a transposed version of the last two columns of array2. Just use one short…
Consider the cube with sides a = 15 cm, b = 10 cm, c = 20 cm. The block is tested under triaxial forces that are applied in the x, y, and z directions. Assume that the forces applied have magnitudes of F = 3 x 10 N, F = 2 x 10 N, and F = 1 x 10 N. The elastic modulus of the cube is E = 3 x 10…
An aluminum plate 30 mm thick (k=237 W/m-K) is attached to a copper plate with a thickness of 15 mm. The copper plate is heated electrically to dissipate a uniform heat flux. The upper surface of the aluminum plate is exposed to convection heat transfer in a condition such that the convection…
Create the equation of motion for the system in the figure and find the natural frequency. M(t) W k 7 r/2 I m 2k m=15kg, k=2000N/m, c=300Ns/m, r=60cm I=30 kg-m, Mt=200.cos5t
A vehicle with properties below climbs a 10% grade at an acceleration of 3 m/s². Find the load distribution (Wf and Wr) on the axles. Take drag into account in your calculation for the speed 90 km/h. For the calculation of the air density: Air pressure = 90 kPa; Temperature: 0 °C. Width =…
Text: zxzx Question 3 (45 points) Consider the discrete-time system y(k) = (10)x(k) (a). Verify the controllability and observability of the system. (b). Design a state feedback control of the form u(k) = -Kx(k) + Nr(k) to make the output of the plant asymptotically track a discrete-time unit…
Q2. Explain how range of motion affects the speed, accuracy, and force potential of movement. Give an example of when the Range of Motion Principle is mediated by other mechanical factors. (15 p.)
Question 2: 16 MPa For the plane stress state shown in the figure: a) Draw the Mohr's circle considering all its details. (Specify the coordinates of the X and Y stress states on the circle, the coordinates of the principal stresses, the coordinate of the maximum shear stress, and the value of…
Which vessels shown in the figure can be approximated as thin-walled cylinders? Assume the modulus of elasticity E of a vein is 1 kPa. What change in pressure occurs if the vessel increases in radius by 3%?
Text: Draw Mohr's circle for each of the 2 different plane stress states shown in the Figure. 18 MPa y! 20 MPa 1) Show the coordinates of the X and Y stress states. (5p) 18 MPa x 5 MPa x 2) Show the principal stresses, the average stress, and the…
006 The cylindrical portion of the compressed-air tank shown is fabricated of 10-mm-thick plate welded along a helix forming an angle =25with the horizontal.Knowing that the allowable stress normal to the weld is 65 MPa determine the largest gage pressure(p) that can be used in the tank 2.4m
Three boards are nailed together to form a beam, as shown, which is subjected to a vertical shear force V. Knowing that the spacing between the nails is s = 75 mm and that the allowable shearing force in each nail is 400 N, determine the maximum shear V that can be applied to the beam. 80…
Q-5 (a) Derive the Equation of Motion and find out the natural frequency of the system as shown in Figure 3. Q-5 Derive the Equation of Motion and find out the natural frequency of the system as shown in Figure 3. [03] W @ Figure 3
A 2 DOF spring-mass system is shown in the figure. k1 k2 k3 MWMV (a) Determine the mass and stiffness matrices. (b) For m=2 kg, m=3 kg, k=12 N/m, k=k=6 N/m, find the natural frequencies and mode shapes of the system. (c) Find the response to initial conditions x(0) = [3] and x(0) = [ ]. (d)…
B. The seat of a helicopter, with the pilot, weighs 1200 N and is found to have a static deflection of 10 mm under self-weight. The vibration of the rotor is transmitted to the seat base as harmonic motion with a frequency of 4.7 Hz and an amplitude of 0.5 mm. (a) Find the total mass of the…
Consider a uniform bar under axial vibrations where E is the elastic modulus, A is the cross-sectional area, L is the length of the bar, and p is the mass density. A lumped mass M is attached to the bar at the free end. a) Write the equations of motion and the boundary conditions. b) Suppose…
Prove that the following LTI system: s^2 + 2ξwns + wn^2 has a resonant frequency ωr = wn√(1 - 2ξ^2) that produces a maximum system gain Mr = M(ωr). Assume wn > 0 and 0 < ξ < 1.
A pendulum is pinned to a slider which is connected to a spring as shown in the figure. The pivot is translating with the slider, while the pendulum is oscillating about the pivot. (a) What is the number of degrees of freedom in this system? (b) Using Lagrange's method, write the equations of…
Problem 1: Rod OAB is rotating counterclockwise with a constant angular velocity of 5 rad/s. In the position shown, collar P is sliding towards A with a constant speed of 0.8 m/s relative to the rod. Find the velocity of P (the collar). Use the rotating axis velocity equation and remember to…
As illustrated in Fig., consider a person pushing a 50 kg file cabinet over a tile-covered floor by applying a 74 N horizontal force. What is the coefficient of friction between the file cabinet and the floor? 15 p.
Please show all steps! Thank you! 3. What would be the change in drag force exerted on a spherical spacecraft (Diameter-5m travelling at 2.7km/s as it drops from 250km to 150km (assume a delta-V of 500 m/s and a density change of 1.7 X 10-10 kg/m3?
Using Integration Method HW10-02: (P10.40) The simply supported beam shown in Figure P10.40 consists of a W410 60 structural steel wide-flange shape [E = 200 GPa; I = 216 * 10^6 mm^4]. For the loading shown, determine the beam deflection at point B. 60 kN 45 kN-m 3 m 6 m FIGURE P10.40
Piston Slider Crank Mechanism (Inline) L3 = 80mm The 40mm crank is rotating at 2,000 RPM. Evaluate the design of the mechanism (such as number of links, input and output transmission angle). Analyze the displacement, velocity, and acceleration of the mechanism, such as limiting position RPM,…
Notice: The beam has two different lengths, length a, where the beam has the area moment of inertia I1 throughout, and b, where the beam has area moment of inertia I2 throughout. A beam with EJ ET Section aieasys unde laad. Find the defbaiy dpa017. P = 939687N E = 1.11110Pa I1 = 7.2741647 *…
A lithium-ion battery can be described by the equivalent circuit model below: Ztots = Vsb2s2 + bs + bo / (s2 + as + 0) Determine the total impedance Ztots. Specifically, find the coefficients a, b, and bz below. Note that the coefficient of s in the denominator is 1. (b) Determine the charge…
Lag Compensator Design Using Frequency Response Techniques The following plant, G(s), is given. The closed-loop system response should have a steady state error of ess = 0.05 for a ramp input, and an overshoot of M% = 10%. G(s) = s^2 + 22s + 75
Proportional Controller Design Using Frequency Response Techniques The following Bode plot describes the periodic steady-state response for a stable plant. Using the frequency response techniques from class, design a proportional controller to yield a closed-loop overshoot of M% = 5%. 40 20…
Transfer Function Fitting Using Bode Plots The following Bode plot describes the periodic steady-state response for a stable plant. Determine an approximate transfer function for the plant. Remember to check both the magnitude and phase plots. 60 40 (8P) 20 Magnitude -20 -40 180 06 Phase…
Use the online calculator (https://tetech.com/peltier-thermoelectric-cooler-module-calculator/) to select a thermoelectric cooler (TEC) for cooling electronic chips. The requirement is that the hot side temperature of the TEC is 25 °C while the working temperature of the chip is at 10 °C. The…
EF CF EG Answers (tolerance 0.5 kN, observe tension positive sign convention) FEF = Number Units FCF = Number Units FEG = Number Units
Prove that the maximum cooling temperature of a thermoelectric cooler is Tmax, where ZT is the figure of merit and Tc is the cold side temperature. What is the cooling capacity (heat load) when the maximum cooling temperature is reached?
Q-4c: Determine the natural frequency of the vibrating system as shown in Figure 1 if m = 10 kg, m2 = 15 kg, and k = 320 N/m. Figure 1: X x^2 [06] m^2
In Figure 1, f(x) = 3 cos(x), a = 3 in., b = 5 in. Determine the moment of inertia of the area about the y-axis. Express your answer with the appropriate units. Figure 1: Value: Units: Submit Request Answer Provide Feedback
Determine the moment of inertia of the area about the axis. Express your answer with the appropriate units. Figure 1 of 1 I = ? Value: Units: Submit Request Answer Provide Feedback
How do I solve this question? Part A Take WAB = 19 rad/s. Figure 1 Determine the angular velocity of link BC at the instant shown. Express your answer to three significant figures and include the appropriate units. WDC Value Units Submit Request Answer Part B Figure 101 Determine the velocity…
12. Architectural Draw the enclosed gazebo roof and floor plan shown. Use dimensions based on your experience or research. Zoom in and out on the drawing. Pan the screen display. Save the drawing as P6-12. Print an 8.5" x 11" copy of the drawing extents, fit to paper, using a portrait…
Please answer the question above (typed) and recreate the shaft in Inventor, showing each step (especially the fillet part).
Consider the unsteady heat conduction behavior of the above problem and answer the following: (a) Write the governing differential equation. (b) Use the appropriate CFL criterion and compute the time-step size for explicit finite difference calculations. (c) Use the MacCormack technique and…
Given the following characteristic equation, use the Routh criteria to determine the stability of the system. If the system is unstable, determine the number of roots lying in the right portion of the complex plane. a + 3a^5 + 5a^4 + 9a^3 + 8a^2 + 61 + 4 = 0
Solve ASAP 5.2 Obtain the exact solution of the equation oud dx agreement with the exact solution? Why? 5.3 A parallel-flow heat exchanger is governed by
Given the characteristic equation a^4 + 6a^3 + 11a^2 + 61 + k = 0, determine the values of k for which the system will be stable.
Suppose we have a 2nd order system described by: 4j + ay + 4y = F(t) Where F(t) is a step function. Suppose we have 3 cases: a) a = 4 b) a = 8 c) a = 16 For all three cases, describe the expected behavior of the system to the step function. If the system is underdamped, calculate the…
6. Given the data listed, (a) Calculate the tail contribution to the pitching moment (b) Plot the tail pitching contribution vs. α (c) Does the tail pitching moment contribute or detract from the longitudinal stability? (d) Why? S = 178 ft² b = 35.9 ft c = 5.0 ft CLα/w = 0.07 / deg CLâ‚€/w…
Use the following data to get displacement, velocity, and acceleration of the system. Use MATLAB with the provided information for the solution and explain the effect of forces on the displacement, velocity, and acceleration of the system. Provide all the codes with figures of displacement,…
Take m = mo = 5kg Determine the magnitude P of the horizontal force required to initiate motion of the block of mass mo for the cases (a) P is applied to the right and (b) P is applied to the left. Complete a general solution in each case, and then evaluate your expression for the values e =…
Assume you have performed linear static analysis on a given part with an external load of 200 N. The material is a ductile material with a yielding strength of 100 MPa. Your simulation shows the maximum von Mises stress as 150 MPa. You have also solved the linear buckling analysis and found…
Computational Fluid Dynamics professional, please. Please write a MATLAB code for the following. 1. Solve the following unsteady 1D heat conduction equation: ∂T/∂t = 3e^(aT) ∂^2T/∂x^2 with the explicit scheme: The problem is a beam of length 10.125 at an initial temperature T(x,t=0)…
Uoluf1on 1 G EM = 0 Pg 2m = W1 L Ha = 86.6.2n - 501pE 13.2.n
Hi, I need to draw this in 3D Max shape and send the solution to my email: mohammed42521. 006 O 1572 1558 1842 1952 06 902 2468 808 4178 816 Y
Hello, I am working on Pascal's law, and I have its results. I need an introduction, objective, and conclusion. Note: if you will include any info from a website, then give me its reference so I can cite it in my report. Objective: To understand the knowledge of thermodynamics and to implement…
You can carry out modal analysis even without specifying any external force. Since buckling is analogous to modal analysis, you can also find buckling loads and associated mode shapes without specifying an external force.
To carry out nonlinear buckling analysis, instead of force control method, we prefer arc-length control in which points corresponding to consecutive load increments are evenly spaced out along the load displacement curve.
Which one of the combinations is true? There has to be a defined loading to run buckling analysis. Linear buckling analysis will report mode shapes, but associated deformation is not quantitative. Structures may continue to remain load bearing, but to be able to determine correctly, we need…
Lengths of the FinsmCart1_Cart21-m Table 12-2. Data and Results for the Elastic Collision Experiment. Condition 1 Condition 2 Trial 1 2 3 4 m (kg) 0.32 0.32 0.33 6.32 m (kg) 0.30 0.32 0.16 910 for Cart 1 at Gate 1s 0.54 0.49 0.5a 0.45 ir for Cart 1 at Gate 1s) 0 C 1.45 1.93 tzr for Cart 2 at…
Your professor assigned a problem to solve by Solidworks for which the applied force is 100 N and asked for the first modelinear buckling load on the part. You have found the buckling coefficient as 2. Then the professor became unreasonable again just before you submit your result and without…
A simply-supported beam has an attached mass and a spring at its midpoint, as shown. Assume that the beam is uniform and its geometric and material properties are specified (including the moment of inertia of the cross-section about its neutral axis). The attached mass has a mass of m and is…
I need an introduction and objective for the Heat exchanger topic. The report follows the academic report format and has to cite/write references that are used in the project. Refer to the course of Introduction to Mechanical Engineering for the format of the Engineering report. Topics:…
2435R, and the heating value of the fuel is 17,800 Btu/lbm. The specific heat ratios for the compressor, burner, and turbine are 1.381, 1.337, and 1.326, respectively. Find the following: (a) the compressor pressure ratio and efficiency, (b) the compressor exit total pressure and total…
Text: Matched so that single-engine maps at STP are available as tabulated below. If a fuel ratio of 0.021 is used, what is the operating Mach number of the aircraft? Airframe Drag Mach Number Drag (lbf) 0.0 G 0.2 4700 0.4 18,800 0.6 42,200 0.8 75,000 1.0 117,200 Single Engine Thrust (lbf)…
Suppose that we have a computer system with a 32-bit logical address using paging for memory management. The page size is 4K bytes and a page table entry in all page tables is 4 bytes. 1. What is the maximum number of pages? 2. Calculate the size in bytes of the page table. 3. Calculate the…
As shown, a spacecraft is in a 300 km altitude circular Earth orbit. Find the total delta-v required and the total transfer time for the depicted bielliptic transfer to a 3000 km altitude coplanar circular orbit. Find the total delta-v required and total transfer time for a Hohmann transfer…
Derive the direction cosine matrix for a 1-2-3 rotation through. Show all your steps.
For simple compressible systems, which kinds of interactions with the surroundings are not permissible? a. surface tension b. inertial c. temperature-driven heat transfer d. compression of the surroundings on the system e. mass transfer Wout = Won Select one: O True O False What are the…
A cable/belt is placed around three parallel pipes/drums. Find: Determine the largest weight W for which equilibrium is maintained.
If d = 1.25 ft, r = 1.5 in, and the weight of the crate, W = 1500 lb, find the maximum tensile stress in AB and CD. Section a-a
A pipe system at an aquarium circulates water through a big-fish tank. It is made of 3 cm diameter cast iron piping and regular flanged elbows (KL=0.3 for each elbow). Assume the pump has a KL = 0.3 and assume that the submerged inlet pipe has KL = 0.8. Determine the pump power needed to…
Please answer quickly along with FBD. Given: Loads of 11 kN and 22 kN are applied at points B and C, respectively. Find: The forces in members AF, FB, and FE of the truss shown below. Indicate whether the members are in tension or compression.
h 0.8 0.4 0.2 0.1 f'(4) 1522 1284 1228 1214 0.8=0.64 0.4=0.16 012=0104 0.1=0.01 8-0514 2dig6 F(x+h)-fCx-h) 2h48 4870.4 3.2 1522 1284 2+0408 30-hh-80+hh 2x0.8 0.5% 1.05 M There is part (c of this question on next page
4. Some partial credit for this question. Fill in the blank. A hypothetical computer stores real three bits for the integer part, and the next four bits for the fractional part. If the binary number stored is 1011 0 1 0 0, what is the base-10 equivalent of this number 1.0100x2?
A 3-lb collar is attached to a spring and slides without friction along a circular rod in a horizontal plane. The spring has an undeformed length of 7 in and a constant of 1.5 lb/in. Knowing that the collar is in equilibrium at A and is given a slight push to get it moving, determine the…
Find the State Space of the system m2 = -cs^2 - y - kz - y (y - h.y - z - h.s - h.nu Sprung Mass m 12 Unsprung Mass m X
Example 8-4: 250mm N06 A 20-kg uniform cylindrical roller, initially at rest, is acted upon by a 90-N force as shown. Knowing that the body rolls without slipping, determine a the velocity of its center G after it has moved l.5 m.b the friction force required to prevent slipping
The base is maintained at a temperature of 370 K, while the dome of the dryer is maintained at 1004 K. If both surfaces of the dryer are dried. A dryer is shaped like a long semi-cylindrical duct of diameter 1.5 m. The base of the dryer is occupied with water-soaked materials to places) T2…
Describe the physical conditions under which a normal shock wave is located within the diverging portion of a CD nozzle, located anywhere from the throat at A* to the exit at Ae. See Figure 5.19 and Example 5.7. a. Can such a situation ever occur for a rocket launch vehicle? b. Can such a…
Required information: Two infinitely long parallel plates of width w are located at a distance w from each other, as shown in the figure. Determine the radiation heat flux between the two surfaces. (Round the answer to three decimal places) 7w/m
Requlred information A circular cone of diameter D is positioned on a common axis with a circular disk,also of dlameter D.at a distance L,as shown in the figure. h e hypothaticel area A3corresponding to the opening of the cone,determine the value of F for L=D=too mm(Round the anaworto three…
Listed below are the critical points and states for an unknown substance. For which cases is it appropriate to assume an ideal gas? a. Tcrit = 156°C, Pcrit = 0.154 MPa, T = 422°F, P = 1.94 bar b. Tcrit = 645°C, Pcrit = 0.00224 MPa, T = 66.3R, P = 0.016 bar c. Tcrit = 1880 R, Pcrit = 308000…
A fuel element of a nuclear reactor is in the shape of a plane wall with h = 1100 W/m - K and T = 250°C. At normal operating power, heat is generated uniformly within the element at a volumetric rate. We will use the explicit finite-difference method to determine the temperature distribution…
Determine the area and the centroid (, y) of the area.( Figure 1) Figure 1 of 1 3ft 3ft
a) Use the transfer function to determine the natural frequency of the system. b) Use the transfer function to determine the damping ratio of the system. c) The impulse response (system response to an impulse input) is shown in the figure. Use the data points shown in the figure to determine…
A gear and a shaft with a nominal diameter of 37 mm are to be assembled with a medium drive fit, as specified in Table 7-9. The gear has a hub with an outside diameter of 60 mm and an overall length of 50 mm. The shaft is made from AISI 1020 CD steel, and the gear is made from steel that has…
For the project, please prepare a report including the required MATLAB files. The following robotic arm has two links that can be considered as rigid slender bars with uniform mass. There are two motors that control the movements of the links. The uncontrolled system has an unstable equilibrium…
For the project, please prepare a report including the required MATLAB files The following robotic arm has two links that can be considered as rigid slender bars with uniform mass. There are two motors that control the movements of the links. The uncontrolled system has an unstable equilibrium…
A variation of the simple vapor-compression cycle is designed to reduce the compressor work by preheating the refrigerant before it enters the compressor. In the system shown on the next page, a heat exchanger is used to superheat the refrigerant before it enters the compressor. Since the…
Please solve question 1 and 2 in detail. Answer all questions, please. Hint: (Question 1) Please double-check your tolerance stack with a couple of things in mind: - Be mindful of the radial vs. diametrical contributions of each dimension. - Note that the concentricity spec is defined for…
Consider a simple, ideal Rankine cycle using water as the working fluid. Steam exits the turbine as a saturated vapor, and heat is transferred to the steam at a rate of 36 MW in the boiler. Further operating data is given below. Turbine: P1 = 6 MPa, P2 = 7.5 kPa (inlet and outlet…
Please don't forget the T-S and P-V diagrams for a gasoline engine. Question-5: A gasoline engine of 2.4 L runs at 2500 RPM with a compression ratio of 9:1. The state before compression is 40 kPa, T K, and after combustion, it is at 2000 K. a) Find the highest T and P in the cycle, the…
Part 8 Assume A is pinned and B is a roller in Figure. Take that w=8.5 kN/m. Determine the normal force, shear force, and moment at point C. Follow the sign convention. Determine the shear force at point C. Express your answer to three significant figures and include the appropriate…
For a KIC test to be valid, the plastic zone size must be substantially smaller than the specimen. This is easily achieved in brittle materials, but for ductile materials, the specimen size and breaking load become prohibitively large. A compact tension specimen is shown below with…
(a) In class, we derived the stress relaxation response for the standard linear solid model For Fig. 1, the governing equation may be written as E2 EE1 +(E2+E1). (1) Derive the corresponding stress relaxation response for input: (t) = Eo;t 0. (2) E, 0000000 000000 E2 n Figure 1: Standard…
A bubbler level measurement system is shown in Figure Q1(b), where the liquid level is determined by measuring the back pressure of air inside a dip tube inserted into the vessel. ii. If the system is to be modified into a closed tank system, will there be any changes in the range of the new…
Determine the angular velocity wAR (positive if counterclockwise, negative if clockwise) of the telescoping link AB for the position shown where the driving links have the angular velocities indicated. 170 3.8 rad/s 60 195 Dimensions in millimeters 65 2.0 rad/s Answer: WAB rad/s
D3-1: The Cessna Citation executive jet weighs 67 kN and has a wing area of 32 m^2. It cruises at 10 km standard altitude with a lift coefficient of 0.21 and a drag coefficient of 0.015. Estimate a) the cruise speed in mph and b) the horsepower required to maintain cruise velocity. (Hint: get…
Water boils at a lower temperature as surrounding pressure decreases, as shown in the table: Temperature (F) Pressure (psia) 180 190 200 210 212 7.52 9.34 11.53 14.13 14.70 You have set up camp at 11,000 ft in preparation for a sunrise ascent of Grand Teton. Assuming standard atmosphere…
Write a MATLAB code to set up this optimization problem. Just the setup and definition of variables, do NOT attempt to solve the optimization problem. Find u tover in [0,1] to minimize J = t subject to a - rho = U1 2theta = U a12 U3 dt2 70 theta p 0 = phi k = pi u3 = 3 ((L - ho)3 + ho3) 3 The…
Text: 1Fsinwt Derive the equations of motion for the following system using Lagrange's method. Write these equations of motion in matrix form. m, mz
Find the angle for equilibrium using the equations of equilibrium (i.e. sum of forces equals zero and sum of moments equals zero). The final answer for theta will be 68 degrees. I just want to see the work shown to get that answer. Thanks! Example 11.1 (1 of 5) Determine the angle for…
Exercise 2: Calculation and Simulation of Steady-State Error in a Closed-Loop System For the closed-loop system shown below, calculate and simulate the steady-state error in terms of K=10, 100, 1000, when the input is 5u(t), 5tu(t), and 5tu(t). You can use either MATLAB command or…
Please fill out the chart below! Thank you and use MATLAB CODE Exercise 1: Effects of Varying K on Stability, Transient, and Steady-State Error for a Ramp Input For the closed-loop system shown below, discuss the effects that varying the value of K has on the stability, transient response,…
Determine how long it takes for the cylinder to stop spinning. Express your answer to three significant figures and include the appropriate units. The 46-kg cylinder has an angular velocity of 30 rad/s when it is brought into contact with the surface at C, as shown in Figure 1. The axis of the…
Output axis JO+BO+KO=Hw Input axis Case Wheel spins at constant velocity Constant of the restraining spring attached to the spin axis. Determine the transfer function relating output y to the input w. K spin axis
QUESTION 4 (25 MARKS) A tube of outer diameter d = 28 mm and length L = 4 m is maintained at a constant temperature of 30°C. To reduce the heat loss to the ambient air at 25°C with ha = 12.5 W/mK, the tube is covered with insulation (k = 0.15 W/m-K) of thickness 10 mm. a) Find the heat loss…
Theory of Machines A packaging machine uses a double dwell cam-follower system for its process. The critical extreme position (CEP) specification is as follows: Dwell at 0mm when: 0-120 Rise at 35mm when: 120-180 Dwell at 35mm when: 180-300 Fall to 0mm when: 300-360 Cam = 2x rad/s (a) Sketch…
Consider the control of an unstable plant with transfer function G(s) = 1/(s(s-10)). Feedback control is used to stabilize the plant as shown below. G(s) G(s) To stabilize the plant, PD control is chosen: Gcs = Kp + Tp*s A. Find the equation for the closed-loop transfer function, Rs. B.…
A rocket motor is expected to be designed for the use of the 2nd stage of a space launcher. It is required to work at an altitude of 19.1 km, at which the atmospheric pressure P = 6083 Pa. If the propellants are given, and the chamber pressure Pc = 8.05 MPa, and the exhausted gaseous products…
Find the Moment of Inertia (x and y) of the following shape. The quarter circle represents no material and the dimensions are: a = 9 m, b = 7 m, c = 4 m. Triangle Cutout a a/3 Half Circle
10.29 The line of action of the axial load P of magnitude 270 kN is parallel to the geometric axis of the column AB and intersects the x-axis at e = 14 mm. Using E = 200 GPa, determine the deflection of the midpoint C of the column and the maximum stress in the column. W200x52 parallel W20052…
Concrete is a commonly used construction material. One of its deficiencies is its relative weakness and inability to carry tension stress. It is pretty strong in compression, but cracks easily when loaded in tension. One solution to this is prestressing - if the concrete is initially in…
How would you show in a Creo drawing the rotation of the center arm and the angle of the tires relative to the inline positions for the left and right positions? In-Line Position Left Position Right Position
Explain bending and shear moment properly along with shear and moment plots. The shaft shown in the figure is machined from AISI 1040 CD steel. The shaft rotates at 1600 rpm and is supported in rolling bearings at A and B. The applied forces are F = 2500 lbf and F = 1000 lbf. Determine the…
Compute the system transfer function based on the following state-space 4 1 representation of a system. [0.125-1.375] 0.25 B= 0.34375 C=[1 0] D=1
Find the lengths marked on the scale. Answer in DECIMAL FORM, rounded to two digits, and do NOT include units. Length marked at D is Length marked at E is Length marked at F is OTHS 100 OOTHS 10 20 30 40 50 60 70 80 90
Please answer 16.6. Thanks! 16.1 Two identical 0.4-kg slender rods AB and BC are welded together to form an L-shaped assembly. The assembly is guided by two small wheels that roll freely in inclined parallel slots cut in a vertical plate. Knowing that θ = 30, determine: a) The acceleration of…
Derive the equation of motion for the following system, using the rotation of the beam about the hinge as the degree-of-freedom. Note that there is an applied force (Fo sin wt) as well as an applied moment (Mo sin wt). The total bar mass is m. Treat the bar as two bars: one to the left of the…
Consider a wing with the following specifications: AR = 5, b = 10, symmetric airfoil section. Assume that the geometric angle of attack is constant and the lift coefficient produced at this angle is C = 0.4. Obtain the geometric angle of attack. Also, consider the wing as a trapezoid shape.
Please, could someone help me with a question? I want an answer for each point (a-h), including all steps and details. Point h needs to draw Mohr's Circle for the stress state. Thank you! A stress state is defined by: σx = 300 MPa σy = -100 MPa Ï„xy = 80 MPa (b) The largest principal…
In the class, we found the general solution for the differential equation y-4y^4y=0 to be y=Ax+Be^2. a) Show that y(x) is a solution of the differential equation by substituting it into the equation. b) Find the solution that satisfies the boundary conditions: y(x=0)=1 and y'(x=0)=0. 2. Solve…
The governing equation of motion of the forced damped single degree-of-freedom system is given by: 4x''(t) + 20x'(t) + 1200x(t) = 8sin(20t), where xâ‚€ = 0.04 m and vâ‚€ = 1.01 m/s. Using the method of undetermined coefficients, find the particular solution of the system.
Consider the combustion of a fuel: C7H15 in 2*100% theoretical air (X is an integer). What is the fuel-air ratio for combustion?
What differentiates CONWIP from Kanban?
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