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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
Determine the degree of the indeterminacy for each of the following structures
Problem 18 (5 points) A 1100-O aluminum strip 228 mm wide and 25 mm thick is rolled to a thickness of 20 mm in one pass. The roll radius is 200 mm, and the rolls rotate at 100 rpm. Calculate the roll force and the power required in this operation.
Control Systems Theory a) Take the Laplace Transform of the blue text to format the black text. b) Determine the stability and system type.
Determine the centroid of the composite area y 14 mm 20 mm 10 mm (not drawn to scale) 15 mm 54 mm Answer Table Description Value * (mm) y (mm)
How is this solved? 6-34. Draw the shear and moment diagrams for the cantilever beam. 2 kN 3 kN·m 1.5 m -1.5 m Prob. 6-34
This is for robotics applications. Use the cubic polynomial method for trajectory generation. Consider a two-joint planar robot shown below: (Px, Py) Using cubic polynomials, we model the two joint functions θ1(t) and θ2(t) from the initial time t = 0 sec to the final time t = 1 sec. Find…
Solve using Simulink. Question Two: The equation of motion of a spring-mass system under force excitation is given by y = -(F(t) - 135y)/20, where F(t) is given by: F(t) = 10t, t < 1 0, 1 ≤ t ≤ 2 10, t > 2 If the system is initially at rest, find the displacement of the mass…
A three-span continuous steel beam carries a uniform dead load of 500 lbf/ft and a uniform live load of 1000 lbf/ft. It is an ASTM A992 W16-31 beam, and each span is 20 ft. What is the maximum deflection of the first span?
A special beam section is being used for an engineering structure. The dimensions are based on a dimension of '18mm' as shown in Figure 2 below. (a) Using a tabular method, calculate the centroid of the section. (b) From the tabular results from part (a) and using any appropriate equations,…
Based on the problem, respond to the following questions: a) Is the aluminum pressure vessel a candidate? Yes or no. b) Is the steel pressure vessel a candidate? Yes or no. You are asked to select a new pressure vessel. You want to choose a vessel that will leak before it fails if it were to…
My design topic is Screw conveyor assembly to convey spent grain. Please assist with different design concepts and the decision matrix for this. For your project, you are to have a minimum of three different design concepts. These concepts are not to be variations of each other. For example,…
MEU11E07-1 Q4 A mass of 300 kg is suspended from the pulley system in Figure Q4. What force F must be applied to the end of the rope to keep the mass suspended? Figure Q4 A 45 kg B C D 394.6 N 490.5 N E 589.0 N 633.9 N
A special beam section is being used for an engineering structure. The dimensions are based on dimension 'X' as shown in Figure 2 below. Each student has an individual value of 'X', which is the last two numbers of your student number. (a) Using a tabular method, calculate the centroid of the…
If the beam is subjected to a shear force of V=10 kN, determine the shear stress at point A.
ienizcevaplanmadi7.00 uzerinden isaret tSoruyu isaretle For the following system, among which of the followings is the state space model? Input is the force,output is the position of the mass. k -[-+]+[i y=[101[] -[ y=[1o1[] y=[1[] -[+ y=[i1[] y=[1o1[] Sonraki sayfa Kalan Sure 1:08:54
For the following system, which one is the controllability matrix? x = Ax + Bu y = Cx where B = C = [1,1] A = [1,5;2,-10] B = [-3,-11,1] C = None of them. D = [1,1;-3,-1] E = [1,2;5,-10]
Calculate reaction forces and draw shear force, bending moment diagram for the beam shown below. Hint: use area method. Assume M = 30 kN.m, w = 8 kN/m, F = 34 kN. IF (kN) w (kN/m) (kN.m) D 6m 4.5m 4.5m
Calculate total force vector at point A.and associated moment vector about point O.Position vector is OA.Assume z=0.4 m,F=300 NP=160 N 3 m 3m 45 P(N) 1m A F(N)
4.1. Name the fracture explosives used in the following operations: Underground Coal Mining, Underground Metalliferous Mining, Opencast Coal (Strip Mining), Dimension Stone cutting, and in an aggregate Quarry. (5)
The complex number z = -23 - 2i in the polar form a) r = 4, θ = 135 b) r = n, θ = 150 c) r = 4, θ = -150 d) r = 4, θ = 150
Q5. Design the pattern of the following Grey C.I. product with all possible allowances; show the position of parting line, type and dimensions of core and its print. Calculate volume in cm3 and mass in kg of the required molten metal for one casting considering gating and risers = 30% of total…
The tank shown below is being filled with water (p = 1000 kg/m^3) by both the pump (ps) and the free flowing inlet (qmi), for some reason. Assume R and R are laminar resistances. If A = 5 m^2, D = 0.4 m, R = 4 Ns/m^2 kg, R = 10 Ns/m^2 kg, qm = 200 kg/s, P = 6 kPa, and h0 = 0.6 m, find dh/dt at…
Generation rate. Consider a sudden change to q'z=2107 w/m3, and use the explicit finite-difference method to determine the fuel element temperature distribution after 1.5 s. The fuel element thermal properties are k=30 W/mK and a=5x10^-10 m/s. Using energy balance, we could develop the…
And y using a linear triangular element similar to the one shown in the accompanying figure, AUky Ukx k U Uir 7.3-2 Full Alternative Text The displacement variables, in terms of linear triangular shape functions and the nodal displacements, are s+as+as- = SUy+SU+SU Moreover, for plane stress…
The complex number z = -3 - 3i a) r = 3√2, θ = -135° b) r = 3√2, θ = 135° c) r = √2, θ = 135° d) r = √2, θ = -135° in the polar form.
Page 6 of 15 ZOOM Challenges and Problems Complete two of the following problems. 6. A 8 cm x 8 cm square Douglas fir (E=13 GPa) beam is loaded with a 850 N/m uniformly distributed load as shown below. a. Using the method of integration, find the elastic curve of the beam. (15 pts) b. What…
The beam shown below is made from linear elastic material, with E=4000 ksi, and Poisson's ratio=0.2. Find the maximum stresses (NORMAL AND SHEAR) at G. Use Mohr's Circle. G is at 6 ft from the left end and 6 inches from the bottom. Find the maximum stresses (NORMAL AND SHEAR) at H. Use the…
2 kip/ft 2 kip/ft Draw the shear and moment diagrams for the beam 5ft 5ft 5 ft
Q13) A particle moves in a spiral path where its position is determined by r and θ in polar coordinates. Note that t is the time in seconds. a) r = 1.2t^2 [m], θ = 0.045t^3 [rad] b) r = (0.5t^3 - 0.2) [m], θ = 0.12t^2 [rad] c) r = 0.2t^2 [m], θ = 1.5t [rad] d) r = 0.6t [m], θ = 0.021r^2…
Calculate forces in members DC and DE for the truss shown in the figure. Hint: Use the method of joints. Assume F2 = 60 kN, F1 = 130 kN, and L = 2.7 m.
Approximately 90% of mechanical structures fail due to fatigue loading. With the help of a suitable illustration, describe the three stages of fatigue failure. Suggest several ways to prevent fatigue failure.
Problem 17.88 4 of 5 II Review Part A Determine the angular acceleration of the rod at the instant the 100 N force is applied. The 4.5 kg slender rod is initially supported horizontally by a spring at B and a pin at A. (Figure 1) Express your answer in radians per second squared to three…
A car moves in a circular path of radius r = 400m. The car has a constant speed of 55 m/s. Determine: a) The angular velocity ω of the radial line OA. b) The radial and tangential components of the car acceleration. c) The magnitude and direction of the car acceleration with respect to the…
Problem 17.74 3 of 5 III Review Part A The 5-kg cylinder is initially at rest when it is placed in contact with the wall B and the rotor at A as shown in (Figure 1). If the rotor always maintains a constant clockwise angular velocity w = 6 ad/s, determine the initial angular acceleration of the…
Problem 17.62 Review Part A A motor supplies a constant torque of 3 Nm to a 50-cm-diameter shaft O connected to the center of the 28 kg flywheel. The resultant bearing friction F, which the bearing exerts on the shaft, is 46 N. (Figure 1) Determine how long the torque must be applied to the…
Calculate forces in members DC and DE for the truss shown in the figure. Hint: Use the method of joints. Assume F2 = 60 kN, F1 = 100 kN, and L = 2.1 m. T F L (m) F C E F 4m B F 4m 4m ASDC = 60.5 kN (T, SDE = -104.9 kN (CB. SDC = 63.5 kN T. SDE = -108.9 kN CC. SDC = 45.5 kN T. SDE = -96.9 kN…
Consider a rectangular aluminium slab subjected to boundary conditions such that heat diffuses in the x-y plane surface, as shown below. Answer the following: a) Write the steady-state governing equation for heat conduction (diffusion) and list the assumptions involved. b) Write the equivalent…
The complex number z = -3 - 3i in the polar form: ar = 3√2, θ = -135° br = 3√2, θ = 135° cr = 2, θ = 135° dr = 2, θ = -135°
Problem #2 (10 points): Plate Length, Reis9104: Find the rate of heat transfer from the plate transfer. For air at 1 atm, assume k = 0.0299 W/m·K, Pr = 0.70. Draw a sketch and show all calculations in SI units.
Consider a rectangular aluminium slab subjected to boundary conditions such that heat diffuses in the x-y plane surface, as shown below. Answer the following: (a) Write the steady-state governing equation for heat conduction (diffusion) and list the assumptions involved. (b) Write the…
1582 A large railroad has experimented with burning powdered coal in a gas turbine combustor. Fifty percent excess air was introduced to the combustor at 1380 kPa and 127°C while the powdered coal was injected at 25°C. The combustion was adiabatic and at constant pressure. Based on a coal…
What is the correct answer? Yield strain for steel, crushing strain for concrete: yield stress for steel. What is the stress and strain level at point A? AS3 = 13 A$3 < $3 O-C. E = Ey 00 < EY DE A < 3 OF E = Ey OG E = Esy OH g < 3 C = cu Ec = Ecu <9 = fy E > Eu Ecu Ec = Ecu EEcu C = Ecu a < f…
The complex number z = -23 - 2i in the polar form is ar = 4, θ = 135°.
Remaining Time: 15 minutes, 15 seconds Question Completion Status: 20 points Save Answer Question 1: Calculation of force and moment at the fixed point A. Assume vertical force and counterclockwise moment directions are positive, and given M = 20 kN·m, L = 1.8 m, F = 22 kN, and w = 2.8…
Calculate the reaction force and moment at the fixed point A. Assume that the vertical force and counterclockwise (CCW) moment directions are positive. Given M = 20 kN·m, L = 1.8 m, F = 18 kN, and w = 1.4 kN/m. | F (kN) | w (kN/m) | M (kN·m) | L (m)…
Determine the location of the centroid for the given shape along the x and y axes 400 mm 300mm 300 mm 300 mm
Determine centroid location along the x and y axes x and y) for the shape below. (1,1)
Determine the surface area and the volume of revolution for the shape given below 140 mm 80 mm
1. Using the continuity, momentum and energy equations show that the changes across an oblique shock wave are governed by the normal component of the velocity. V M M2 V2.M2 V,M1
If a lignite with a lower heating value of Hu=29000 kJ/kg contains 6% H and 12% W, what is the higher heating value of this fuel, in kJ/kg? Latfen birini seçin a. 31255 b. 25015 c. 27390 d. 30610
Text: Automatic Control Systems Q5: Derive a state-space representation of the system described below: 4y + 5y + 6y = 6u
I need MATLAB files as well as a Word document with answers for question 7.36. 7.36 Roller bearings are subject to fatigue failure caused by large contact loads (Fig. P7.36). The problem of finding the location of the maximum stress along the x-axis can be shown to be equivalent to maximizing…
A feature is transported by convection and diffusion across the one-dimensional space plotted in Figure 1 below. The boundary conditions are o=1 at x=0 and i=0 at x=L. Using the general form of the transport equation, dividing into five equally spaced cells, and using the central difference…
Required Information 4178 J/kgK with mass flow rate of 5 kg/s enters the heat exchanger at 20°C. Use the table given below to find the effectiveness. Heat exchanger type Effectiveness relation 1 Double pipe Parallel-flow 1-exp(-NTU(1+c)) 1-exp(-NTU(1-c)) Counter-flow 1-exp(-NTU(1-0)) (for c<1)…
Express the forces on rods BF, CE, and GF in terms of P (assume that P is positive). P D 30 60 30 B 45 45
During a hot summer day, a 2-L bottle drink is to be cooled by wrapping it in a cloth kept wet continually and blowing air onto it with a fan. If the environmental conditions are 1 atm, 80°F, and 30 percent relative humidity, determine the temperature of the drink when steady conditions are…
A water-soaked 10 cm x 10 cm square sponge is experiencing parallel dry airflow over its surface. The average convection heat transfer coefficient of dry air at 20°C flowing over the sponge surface is estimated to be 30 W/m^2-K, and the sponge surface is maintained at 30°C. If the sponge is…
2. Modify the Runge-Kutta solver in Listing 1.2 so that it solves the first-order pendulum problem with the initial conditions θ(0) = 7/2, θ'(0) = 0 and the parameters m = 0.1 (kg), l = 2.0 (m) and g = 9.81 (m/s^2). Plot θ and θ' for t = 0...5 (s). How many percent larger is the period in…
1. Starting from Newton's laws, derive the second-order governing equa- tion for a pendulum of mass m and length l using the unknown angle 0, and then derive the corresponding first-order system in the standard form y' = f(y) by introducing n = 0 as an auxiliary variable.
Figure 2: Open Loop Configuration Given G1=1/(s^2-1), G2, and p, the feedback system from U to O needs to be stable. We need to determine the values of K and p such that the poles of the closed-loop transfer function from U to O are located at -4 + j4.
Text: Question 3: 30 kN 10 kN 20 kN/m + W610x82 5m 5 m The W610 x 82 beam shown above has a Young's modulus of E = 200 GPa, an allowable bending stress of altow = 300 MPa, and an allowable shear stress of Tallow = 150 MPa. a) Draw the SFD and BMD of the beam…
Equations are required to calculate the air fuel ratio, the hydrogen/carbon ratio, the stoichiometric air fuel ratio, and the equivalence ratio from the exhaust emissions readings obtained from a 4-gas analyzer, which measures the following emissions on a dry gas basis: Carbon monoxide (%CO),…
A gas engine operating on methane at 1500 rpm, full throttle, generates the following emissions measured on a dry volumetric basis: CO2: 10.4% CO: 1.1% H2: 0.6% O2: 0.9% NO: 600 ppm HC: 1100 ppm (as methane) If the specific fuel consumption is 250 g/kW h, calculate the specific emissions of…
The last question, "the temperature at a point 200mm interior side is" which formula is it? I never saw formula like this. Is the formula belongs to heat flow rate or heat flux? Can you give me a detail explanation? Example 3: Temperature at a particular point Solution: The thermal resistance…
Oxygen-rich Air to Enhance Combustion: Analyzing the Molecular Weight of the Air Mixture One approach to avoid unburnt fuel and carbon monoxide as products of a combustion process is to supply oxygen-enriched air to react with the fuel. In analyzing such a system, one step is to identify the…
QUESTION1 Solve the following differential eguation with initial condition by using the Laplace transform method dy y(0)=0 7p
10.25: Following combustion in a piston-cylinder, the system is at 1000 K and contains the given composition: Species mass (kg) Molecular Weight (kg/kmol) CO2 3 44.011 HO 18.016 N2 14 28.013 a) Find the mole fraction of each species in the mixture. b) Find the apparent specific heat at…
19.100 A 4-kg collar can slide on a frictionless horizontal rod and is attached to a spring with constant k. It is acted upon by a periodic force of magnitude P = P*sin, where P = 9N and ω = 5rad/s. Determine the value of the spring constant k, knowing that the motion of the collar has an…
Describe the sequence of events that occurs in a robot controller when a new endpoint location is requested, specifically in terms of forward and inverse kinematic calculations. (3 Mar)
19.6 A 20-lb block is initially held so that the vertical spring attached as shown is undeformed. Knowing that the block is suddenly released from rest, determine the amplitude and frequency of the resulting motion, as well as the maximum velocity and maximum acceleration of the block. Figure…
A disk sander design is proposed where a 300 mm sanding disk is attached directly to the end of a stock shaft of a 1/2 HP ball bearing motor. The maximum shaft loads estimated to result from pressing objects against the sanding disk are shown applied at point A of the loading diagrams provided…
2) Find the inverse Laplace manually and verify your solution using MATLAB for the following functions: a) F(s) = 10S(S + 1) b) F(s) = (S + 2)^2/(S + 1) c) F(s) = S(S^2 + S + 1) d) F(s) = 5e^(-S)/(S + 1) e) F(s) = (6S + 3)/(S^2 + 5S + 2) f) F(s) = 5S + 2/(S + 1)(S + 2) CAN YOU SOLVE THESE…
Help ASAP Given: - Rotational speed: 50 rpm A. To determine the maximum inside diameter of the tube using a factor of safety of 2.0 based on the yield strength in shear. B. To find the angle of twist based on the diameter and a shaft length of 3 feet (3.00').
Aoklam Baglik2 Konu E Deg armal Aratik.Yol The rectangular cover, which makes an angle of 60 degrees horizontally with the ground, has a perpendicular width of Zm to the plane of the page, and the 2500 kg mass connected to it passes over a roller and stands as in the figure. Calculate at what…
Two systems of particles are sintered at the same temperature. One system is composed of cube-shaped particles, and the second system is composed of spherical-shaped particles with a diameter equal to the cube edge; that is, the cube edge = diameter of spherical particles. This gives identical…
The Tieahe 1 bmy h2 Noumon In the given system h1=30cm, h2=10 cm, h3=70 cm, h4=20cm and densities of fluids pi=1000kg/m3, pj=1.25kg/m3. NOT CONSTANT Dpk=13600 kg/m^3. Pressure in line APa=10bar so find the pressure in line B. (Finding unit should be pascal Akiskani meaning is fluid QA
Text: Only 17.8 The flywheel. (Knowing that the initial velocity is to be 360 rpm at the start of each punching, determine the number of revolutions that must occur between two successive punchings if a constant 24.4 N-m couple is applied to the shaft of the flywheel.) 17.7 Disk A…
2. Find the adiabatic flame temperature when methane CH gas is burned under stoichiometric conditions
Question 8 5 pts The X-Ray Photoelectric Spectroscopy, XPS, is used to analyze the top atomic layers. T/F ? Jrue e O False Question 9 5 pts Sound travels through a vacuum at the speed of 330 meters/second. O True O False Question 10 5 pts True/False: Ultrasonic testing can NOT be used for…
Which of the following materials has a weak induced magnetic field, which will disappear with the removal of the magnetic field? Ferrimagnetic Paramagnetic Ferromagnetic All of them None of them Question 5 5 pts X-rays are not capable of ionizing matter since their wavelength is too short to…
The direction and value of the resultant force (F_{R} = F_{1} + F_{2}) seen in the system in the figure calculate.
3) Draw Mohr's circle that describes each of the following states of stress: 800 psi 60 MPa 8 kN/m^2 800 psi (a) (b) (c) 4) Determine the normal and shear stresses at point D that act perpendicular and parallel, respectively, to the grains. The grains at this point make an angle of 30 degrees…
For the system below, use the modal analysis technique, detailing all eight steps, to determine the x(t) equations for displacement for each mass. Assume initial conditions x1(0) = 1, x2(0) = 0, x3(0) = x4(0) = 0. Use Excel to plot the responses. N 100 m N 150 m 2 kg 5 kg X1 X2
Please solve 1 and 2 using Mohr's circle only! 1) Determine the stress components acting on the inclined plane AB. 65 MPa 20 MPa 2) Determine the equivalent state of stress on an element at the point which represents (a) the principal stresses and (b) the maximum in-plane shear stress and the…
Friction of the gears, fixed to its ends, are subjected to torques. The tubes have an outer diameter of 30 mm and an inner diameter of 20 mm. The solid section has a diameter of 40 mm. Given T = 99 N.m, determine the absolute maximum shear stress developed in each segment. Take pi = 3.14. …
The Taylor series of any function f can be written as: f(x+dx) = Σ (n=0 to N) [f^(n)(x) * (dx)^n / n!] If you have the following function: f(x) = -0.1x^4 - 0.15x^3 - 0.5x^2 - 0.25x + 1.2 Calculate the percentage true error when approximating the function f(x) at x+dx=1.9 using Taylor…
3s+1 approximated by s+4 b) c values for stability.
Text: u = f(1) b ki WW m m^2 k^2 W Consider the given mechanical system with masses mi, springs k, dampers bi, displacements of masses xt), i = 1, 2, and the input force f(t). a) Write the time-domain equations of the system via drawing its free-body diagram. b) Obtain the state-space model of…
ss + 3a Determine: f) Sketch the root locus
An engineer wishes to image the collagen type I fibre orientation in an excitation of endogenous fluorophores. Describe the process of multiphoton excitation with regard to two photon excitation and clearly explain the phenomenon of second harmonic generation.
Pen turning at 50 rpm. Determine: A. The maximum inside diameter of the tube using a factor of safety of 2.0 based on the yield strength in shear. B. The angle of twist based on that diameter and a shaft length of 3 feet.
R(s) C 1 S+1 S^2+2 K Consider the system above for a=6 and use Routh-Hurwitz tabulation for the questions below. b) Find the value of K which makes two of the closed-loop system poles on the imaginary axis and the other in the left-half complex plane. Calculate the purely imaginary root…
G(s) = s + 4s + 2s + 2.5s^2 + 3s + 3s + 1.5s + 3.5s^2 + 1 Determine the: 1) DC-gain 2) Final value of the output Y(s) if the input Rs is applied with a step of 3
Determine the x- and y-coordinates of the centroid of the shaded area. Answers: (x, y) = ( ) in.
Problem4: For the mechanical system shown to the right, the uniform rigid bar is supported by identical springs and dampers. For this sys- tem find the equations of motion in terms of and 9.
The following transfer function represents a certain plant: 0.9/(s^2 + 2s + 1). Show the DC transfer function in terms of K and Kp. Determine Kp for a rise time less than 2 sec.
In a control experiment, when the donor and acceptor were at a distance of 50 Ã…, the efficiency of energy transfer was 0.5. Use this result to answer the following questions: What would be the efficiency of FRET if the distance increased by 20%? If you have a FRET efficiency measurement of…
s+2s+3 approximated by (s+4 a Compute the overall transfer function T(s b) Show the system's characteristic equation with Ka in the y-axis and Kp in the x-axis) values for stability.
122.6 liters of water in a cylindrical vessel is being pressured vertically downward by a piston with a 78539.2 Newton (N) force. The tank has an internal radius of 25.5 cm and a height of 60 cm. Connected to the bottom of the tank is a 1-inch diameter, 5 ft long hose with an outlet jet nozzle…
Determine: The Characteristic Equation, i.e. 1 + GDH = 0 s(s + 3d) b) The controller-plant gain K c) The loop transfer function L(s) d) From L(s), what are a(s) and b(s)? e) Show the zeros and the poles for the L(s) on a root-locus diagram f) From the characteristic equation, determine the…
For the following block diagram, compute the: a) overall transfer function, and the b) characteristic equation. Y(s) = U(s) Note that all ai and bi are constants.
Part C Section 19.3 Conservation of Momentum 1 of 9 II_Review Part B A pendulum consists of a slender rod, AB, of weight W = 8.80 lb and a wooden sphere of weight Ws = 22.4 lb. (Figure 1) The length of the rod is d = 9.00 ft and the radius of the sphere is R = 0.400 ft. A projectile of weight W…
The Routh's stability criteria determine if the following systems are stable or not: s^4+3s^3+10s+8, s^5+2s^4+13s^3-s^2+100s+21.2, s^4+21s^3+60s^2+5s+1.
Use the conventional method to find the factor of safety for the weld metal and the factor of safety for the attachment (base) metal for the following welded joint: Weld pattern: 8 inches Given Information: Base Metal: 1018 HR Steel with Sut = 58 kpsi and Sy = 32 kpsi Electrode used: E6010 F…
20. A student obtains some ordered pairs of data x.y. He believes the data should follow an equation of the form y=ax^b, with a and b unknown, so he makes the plot shown in Figure 6 to identify a and b. The value of a is closest to A.0.3 B.3 C.13 D.23 E.33 18.2 18 17.8 17.6 17.4 y=23x+1.1136…
Machine Design..Please answer quickly for 2 likes 4. Welded joint stress The beam is joined to the base plate by [5x4] two fillet welds (top and bottom as shown). The weld material has an allowable shear stress Tallow=150 MPa, length of weld per side, b=60 mm, c=150 mm, d=60 mm, weld leg size…
Power Screw A square-shaped frame is tightened by a Turnbuckle and the diagonal cable, as shown. The turnbuckle is shown separately below. By rotating, it works on both left and right-handed square threads (Mean diameter 0.5 inch, lead l=0.125 inch, friction factor f=0.25) to tighten the cable.…
Pam (12 Marie Hebert/ING1057/H23/Fina 6[20 points] A gas turbine works according to the Brayton cycle. The pressure ratio is 8. The temperature at the compressor inlet is 300 K. The temperature at the turbine outlet is also 300 K. The ideal cycle with isentropic and constant pressure evolutions…
Shaft Design: The solid shaft carries two 70 lb shafts and the distances between bearings and the masses. The static deflections were determined to be: y1 = 2.38E-4 inch, y2 = 2.04E-4 inch, y3 = 6.12E-4 inch, and y4 = 4.76E-4 inch. a. Determine the first natural frequency of the shaft using…
Text: Handwriting, if possible please. Mechanical Vibration Answer every question A, B, C, D with handwriting. The course is Mechanical Vibration. For the system shown in the figure below, take: - The stiffness of the beam as k = Z + 1 105 N/m, where Z is the last digit of your PMU ID…
After an edge dislocation has passed through a region of a crystal, the atomic arrangement of that region: a) becomes disordered b) maintains original ordering c) becomes partially disordered. In response to applied shear stress, the edge dislocation line motion direction is parallel to the…
Bolt type: A. Type N B. Type X C. Type for SC 1. Easy to install in the shop 2. Easy to install in the shop but costly 3. Easy to install in the field A. Bolts B. Penetration welds C. Fillet welds
You are designing a novel way to move a plate that holds a red ball so that the ball will roll into a bucket. Your method is to use a rod AB made of C86100 Bronze, diameter = 1.5 inches, that is connected to a plate at B (blue rectangle) and fixed to the floor at A (gray rectangle). Then you…
So-called Power Towers are solar receivers for concentrated solar thermal energy collection (see https://en.wikipedia.org/wiki/Solar_power_tower). In these towers, a collector material absorbs solar radiation energy to heat a working fluid for electricity generation. Consider a flat collector…
A circular vacuum furnace is 0.5 m long and 0.5 m in diameter. The cylindrical sides (surface 3) are heated such that all temperatures are maintained at a steady state at the temperatures shown below in the figure. All surfaces within the furnace are diffuse and gray (meaning that total…
Mo A B c Determine the reaction at B.
Q5. In a plant, the compressed air piping is about 1000 ft long. Air is to be supplied at 100 psig at the rate of 250 cfm. The pressure drop over the length of the pipe should not exceed 5 psi. What pipe diameter is required? For the pipe chosen, what is the pressure drop?
Key and pin play an important role in the power transmission system. Discuss different types of keys and pins. Sketch an appropriate schematic for each key and pin
Shaft is a rotating member usually has a circular cross section and is used to transmit power or motion. In a power transmission system, a coupler is usually used together with the shaft. Briefly explain the function of the coupler and different types of couplers available in the market.
The W10×45 is made of A-36 steel and is used as a column that has a length of 15 ft. If its ends are assumed pin supported, and it is subjected to an axial load of 110 kip, determine the factor of safety with respect to buckling. The W10×45 is made of A-36 steel and is used as a column that…
Thickness 0.2m. T = 5m I0M. CALCULATE: TX
Problem 2: Simulation of a DC Motor with Friction Perturbation and Saturation using a PI-V Controller Considering the control design in problem 1 and the system parameters given below, simulate a DC motor with friction perturbation, saturation, and a PI-V controller. The control response to a…
Thickens 0.2M 8m 4M. CALCULATE 1*I and the following cross section
Failure prevention is an important factor to be considered when designing a new product. Discuss two failure criteria that can be used to predict the failure of the product (made from AISI 1018 steel subjected to static loading at room temperature). Elaborate on how these two criteria are…
You work as a design engineer for a company that specializes in creating toys for kids. The company is looking to design a new dart that is not only safe and fun but also durable and easy to use. The new dart will be designed based on the modification of an existing dart in the market, as shown…
A log rolling downhill has an initial velocity of 0.5 m/s. The log is 2.0 m in length and 0.3 m diameter. It is of uniform density and has mass of 25 kg. If the log rolls without slipping, find the velocity when it has traveled a distance of 5.0 m down the slope of 30 degree pitch. O.SM/ 30
A softball/baseball bat is 34 inches long. The bat is placed in a horizontal position with platform scales under each end. The handle end, nub, weighs 0.6 lb. The batting end weighs 0.8 lb. Find the distance of the center of gravity from the handle end. The bat is suspended vertically by its…
Wheel I rotates about its center, A, in a fixed reference frame. Wheel II rotates about a point B near the periphery of Wheel I. The distance of B from A is 1.5 ft. Point C, on Wheel II, is at a distance of 1.5 ft from B, the center of Wheel II. At the instant shown, point C is coincident with…
A smooth sphere collides normally with a fixed vertical wall. The two diagrams show the speed and direction of motion of the sphere before and after the collision. The value of e is given in each case. Find the speed of the sphere after the collision in each case. a) e = 1/2 Before impact: 7…
12. A Steel alloy (B) Titanium (C) (D) Stainless steel E) Aluminium 13. B C Parts subjected to impact must be designed to absorb energy. E Impact loads can be ignored for lightweight designs nominal stresses (D) (E) (A) (B) (C) 15. Which of the following discontinuities may result in fatigue…
A small smooth sphere A of mass 1 kg is traveling along a straight line on a smooth horizontal plane with speed 4 m/s when it collides with a second smooth sphere B of the same radius with mass 2 kg and traveling in the same direction as A with speed 2.5 m/s. After the collision, A continues in…
What is the tension on P if the obiect is 100 N?
Text: k c m (Figure 1 Mass Spring Damper System) Part 3 Choose system parameters arbitrarily and set up a mathematical model in Matlab Simulink. Show the graphs of the results you found for x, x, and x for the unit step force input. Part 4: Apply sine input given…
Q4.A50-hp compressor running 8,000 hr/yr and is fully loaded (53 A at 84% PF) 60% of the time and unloaded (40 A at 78% PF) 40% of the time at 480V. Calculate savings and simple payback for using heat from the air compressor to displace gas-based space heating. The avoided cost of demand is…
Calculate the damping factor with the following data: FE = 501 Le = 10 ew 2 = 3 k32 = 2016 / = 2001b =
A 100 kg turbine operates at 2000 rpm. What percent of transmissibility is achieved if the turbine is mounted on four identical springs in parallel, each with a stiffness of 3x10^6 N/m? Ans: 37.6%
b 2) Explain industrial pumps and electric generators in two separate paragraph
A 200 kg machine is attached to a spring of stiffness 4 x 10^5 N/m. During its operation, the machine is subjected to a harmonic excitation of magnitude 500 N and frequency 50 rad/s. Design an undamped vibration absorber such that the steady state amplitude of the primary mass is zero and the…
Please help me get a 100 Question 1.(5 points) What part design feature removes material from a part body solid volume to leave behind a thin-walled structure determined by a numerical value set in a dialog box? Cavity OShell Oslot Question 2(5 points) What procedure will toggle part visibility…
Question 11 (5 points) Saved: What Assembly Workbench function constructs a parts list for use in your assembly and drafting projects? Analysis/BOM Insert/BOM Edit/BOM FEP/BOM Question 12 (5 points): What Assembly Workbench function will move parts with respect to their constraints? Reset the…
Permissible shear stress: 150 MPa Welding length: h = 12 mm, yc = 80 mm Find the value of L1, L2 (mm). Please show all work step by step. Thanks in advance! L1 = 200 mm P = 30 kN L2 = ?
23. Which of the following statements is true? A. The contact ratio is only a function of the number of teeth. B. The greater the contact ratio, the smoother and quieter the operation of the gear. C. The lower the contact ratio, the smoother and quieter the operation of the gear.…
A. Equalize the load carried by threads in contact, possible to the proof strength of the bolt. B. Guard against initial loss of bolt-joint tension. C. Increase stiffness of threaded fasteners. 18. Which of the following is true? A. Riveted joints can be easily disassembled. B. Rivets are not…
E) bending moment 7. Which of the following statements is false? B Internal material imperfection can cause stress concentrations C Stress concentrations may increase stress in all principal directions D For static loading, it is customary to ignore stress concentrations E For dynamic loading,…
Calculate the stress distribution across the cross section of the composite sandwich panels. The core is 8 mm thick Nomex honeycomb, and the hybrid skins are Carbon Fabric of 0.66 mm, Kevlar Fabric of 0.38 mm, and Glass Fiber of 0.56 mm on each of the upper and lower sides of the panels in the…
Operation conditions, producibility, component life, and safety - all of the above need to be considered.
What are the phases and wt% present at A (1100°C, 60 wt% Ni), B (1250°C, 50 wt% Ni), and C (1350°C, 40 wt% Ni)? A TC 1600 L (liquid) 1500 liquidus 1400 Cu-Ni solidus phase 1300 diagram a 1200 (FCC solid) 1100 1000 0 1 20 40 60 80 100 wt% Ni
(b) Solve the following gearing problems. (i) In the epicyclic gearbox shown in figure 6, the pitch radii of gears A, B, C, and D are 30 mm, and the pitch radius of the outer ring gear E is 90 mm. Knowing that gear E has an angular velocity of 180 rev/min clockwise and that sun gear A rotates…
Please include the force of reaction at B and C as well, and the moment of B. III Review Determine the force of reaction at A. Express your answer in terms of some or all of the variables L, I, and P. Enter a positive value if the force is upward and a negative value if the force is…
2=8 kN Draw the shear and bending momen diagrams for the beam shown in the figure The support at A is a pinned support an the support at D is a roller support. P,=5 kN YR TC 2 m 6 m
Q-5a: Derive the Equation of Motion and Find the Natural Frequency of the System as Shown in Figure 4. Figure 4:
Mechanical Design (MECH 0026 - Spring 2023 - CW1 (Assignment) - Session A - QP Q1: Using the part reduction method, redesign the oil filter assembly and calculate the assembly time using the Boothroyd-Dewhurst method. (25 Marks) NOTE: The value will vary as students are independent to select…
Consider the unity feedback system given by the block diagram below. a. Find Y(s)/X(s). b. If E(s) = X(s) - Y(s), what is the transfer function E/X? c. Determine E(s) given x(t) = u(t) + tu(t). d. Determine H(s) such that e(∞) = 0.10. Consider the unity feedback system given by the block…
A bridge is supported as shown, with the weight force of the bridge acting through the point D: RA RB 5m 5m D I 4 kN 10m 10 kN a) Calculate the reaction force from the support at point A. (4 marks)
An athlete is holding 28 lb of weights at a height of 6 inches above the stack as shown. To lower the weights, she applies a constant force of 5 lb to the handle. Determine the velocity of the weights immediately before they hit the stack. The velocity of the weights is ft/s.
Calculate the x shift amount for point a on the drawing shown below if the end mill diameter is 0.5, the chamfer length = 0.250, the chamfer angle θ = 35, dimension X = 3.400, and dimension Y = 3.750. Calculate the Ax shift amount only, not the absolute position from part zero. Round your…
Q5. In the figure, the hydrostatic pressure force that will affect the AB surface with a twin-edge triangular surface and the effect find the distance of the center from the water surface. 2.5 m 1.5 m B 3 m 1.5 m 09
The shaft is composed of two steel pipes attached with a coupling at B. Pipe AB has an outer diameter of 6.50 in. and a wall thickness of 0.375 in., and pipe BC has an outer diameter of 4.50 in. and a wall thickness of 0.375 in. The shaft is subjected to two torques. TB = 28 kip-ft and Tc = 9…
A cylindrical vessel fully filled with water has an internal radius of 25.5 cm and a height of 60 cm. Kindly calculate the total amount of water (H2O) in the vessel.
Freshwater and seawater flowing in parallel horizontal pipelines are connected to each other by a double U-tube manometer, as shown in the figure below. Determine the pressure in kg/m^3, and the oil specific gravity is 0.72. Take h_water = 50 cm, h_mercury = 10 cm, h_oil = 70 cm, and h_seawater…
Problem #1: The shaft rotating at 200 rpm, as shown in the figure. 0.5-in diameter spur gear 20*FD 20-in diameter flat-belt pulley 6-in diameter chain sprocket i. The shaft carries a spur gear C with 80 teeth and a diametral pitch of 8. The teeth are of the 20, full-depth, involute form. The…
Problem 03.065 - Shaft design for power transmission Consider a solid steel shaft with an allowable shearing stress of 58 MPa. Problem 03.065.b - Shaft design for power transmission Design the shaft to transmit 18 kW at a frequency of 64 Hz. The diameter of the shaft is mm.
An I-section is made up of three rectangles as shown in Figure Q2. Find the moment of inertia of the section about the horizontal axis passing through the center of gravity of the section. An L-section is made up of three rectangles as shown in Figure Q2. Find the moment of inertia of the…
Find the reaction forces (R1 and R2) of the system given below by Finite Element Method. 15P Material properties: E = 207000 MPa Geometric features: Applied Loads: Area = 100 mm^2 F = 500 N F = 1000 N e = 500 mm a = b = 0.3e^2
Shunt+ distance ring. Find the required lengths shown on the picture using the relevant chart. Draw the "z" detail neatly with your free hand. (p: 0.2d for distance ring)
Drone "A" is flying with constant speed "U" along the straight line, characterized with constant distance "H" from the surface. The angle of inclination of the surface "theta" is known. The orthogonal projection of the drone "A" on the surface is denoted as "B" (i.e. AB=H). When the drone is…
Q1. In order to keep the resultant hydrostatic pressure force acting on the AB cover in the figure and to keep the cover closed calculate the minimum required spring force. The depth of the cover perpendicular to the shape plane is 4 m. Your Cover ignore the weight. V 5 m ww B Yay
A company wishes to establish one warehouse among n locations to meet the demands di, i=1,...,n. The cost of building the warehouse is f at location i. The warehouse has a supply limit s, so it may not be able to cover all locations. The costs of transporting goods between locations are cij,…
Define: Solution, Mixture, Components, Phases. Explain the Lever Rule. What are the phases and wt% present at A (1100°C, 60 wt% Ni), B (1250°C, 50 wt% Ni), and C (1350°C, 40 wt% Ni)?
27. In a PMSM motor, the three-phase currents are 20A, -11A, and -9A at an instant in time. The air gap length is 1 mm, and the number of turns, N, is 200 (in each phase). Compute the resultant flux density, B, and plot it as a function of theta. (10 points)
Solve the following differential equation: 2xy - 2xdy + 4x - 6xy + 2xydx = Oa. -2xy + 6xy + x^4 = C Ob. xy - 2xy + x^4 = C Oc. xy^2 - 6x^2y + x^3 = C Od. xy^2 - 2xy + x^3 = C Oe. xy^2 + 6xy + x = C
A 20-lb block is initially held so that the vertical spring attached, as shown, is undeformed. Knowing that the block is suddenly released from rest, determine: a) the amplitude and frequency of the resulting motion, b) the maximum velocity and maximum acceleration of the block. 901 lb/in 201…
80x80x26 mm Stock size 12 mm Tool size. 300.02 RZ0 R10 600.02 mm/min Feed rate F -2 008 speed rpm SpindleS component shown above using a CNC milling machine. Set your G54 at the center of the part Use the parameters shown in the table below to write a part program that will machine the given…
Calculate the y shift amount for point b on the drawing shown below if the tool diameter is 0.750, the chamfer length is 0.375, the chamfer angle is 6, dimension X is 2.250, and dimension Y is 2.125. Calculate the Ay shift amount for point b only, not the absolute position from part zero. Round…
Example 4.4 Using three different cable-pulley arrangements shown in Fig. 4.25, a block of weight W is elevated to a certain height. For each system, determine how much force is applied to the person holding the cable. Solutions: The necessary free-body diagrams to analyze each system in Fig.…
A cylinder 1 m long rotates counter-clockwise with an angular velocity of 40 rad/s. The uniform free-stream velocity is 10 m/s. The pressure in the free flow is 300 kPa. Air's density is 1.2 kg per cubic meter. a) What is the stream function for this flow? Make a plot with some streamlines.…
The disk in the figure below is connected to two springs. Use the energy method to calculate the system's natural frequency of oscillation for small angles θ(t). x(t) mass
A motor weighing 350 lb is supported by four springs, each having a constant of 750 lb/in. The unbalance of the rotor is equivalent to a weight of 1 oz located 6 in. from the axis of rotation. The motor operates at a speed of 1200 rpm. STRATEGY: You can determine the resonance speed directly…
Example 4.3: Uniform Horizontal Beam Supported by Cable and Wall The uniform, horizontal beam shown in Fig. 4.18 is hinged to the wall at point A and supported by a cable attached to the beam at point B. At the other end, the cable is attached to the wall such that it makes an angle of 53°…
Fig. 4.14 Example 4.2 F=0 Px-RAxO 9g-R,-w-Rng 42Fy= 2M-0 Example 4.2: The uniform, horizontal beam shown in Fig. 4.14 is hinged to the ground at point A. A frictionless roller is placed between the beam and the ceiling at point D to constrain the counterclockwise rotation of the beam about the…
Application of the load p-120 lb. Determine: 12. The internal force in wire BEFne b Answer: 171 13. The internal force in wire CFFcr lh Answer: 14. The deformation in wire BEBEin Answer: 15. The deflection of pointDin Answer:
Q6. A process to be controlled has two controlled variables Y and Y2, and three inputs that can be used as manipulated variables, Ui, U2, and U3. However, it is desired to use only two of the three manipulated variables in a conventional multi-loop feedback control system. Transfer functions…
I don't have much time. Can you help me?
3.3 Given the series u(x + Ax) = u(x) + uxAx + 1/2uxxAx² + 1/6uxxxAx³, write the LTE for a forward difference scheme and indicate the accuracy.
Problem No.1: Derive the expression for the equivalent spring constant that relates the applied force F to the resulting displacement x of the system shown in the Figure. Assume the displacement of the link to be small. Solution:
A power plant operating with the rankine cycle is established to obtain electrical energy from a geothermal well. It is known that the maximum temperature that geothermal water can reach is 350 C. It is accepted that the efficiency of the geothermal boiler providing heat to the cycle is 100%…
Part I (Numerical Methods, 50%): Consider the following differential equation with x and y as outputs, and u as a unit step input: x + 0.25x + yy = u, x0 = 0, x0 = 1, y = 0.5y + yx, y0 = 1, y0 = 1. Numerically solve for and plot xy for a period of 10 seconds using the ode45 function.
Please help and show work so that I understand. Thanks in advance! Problem 2: Problem 7.22 on page 481, 7.22 Derive the model for the system shown in Figure P7.22. The flow rate is a mass flow rate and the resistances are linearized. Figure P7.22
Problem 1: Problem 7.1 on page 477 7.1 For the hydraulic system shown in Figure P7.1, given A = 15 in^2, A = 45 in^2, and mg = 80 lb, find the force fi required to lift the mass m a distance x = 8 in. Also, find the distance x and the work done by the force fi. Figure P7.1: [Image of…
The beam shown below is subjected to the loading P1 = 1300 N and P2 = 1.3 kN. Find the normal tensile stress at point B in MPa. P2 Pâ‚ 15 mm 20 mm 20 mm 15 mm 100 mm B 10 mm
The beam shown below is subjected to the loading P1 = 1300 N and P2 = 1500 N. The bending stress (σ) acting at point B is given by σ = (P2 * 0.75 * 5) / (9.4 * 0.81 * P1). The dimensions of the beam are as follows: 15 mm, 20 mm, 20 mm, 15 mm, and 100 mm. The distance from point B to point E…
Conservation of Momentum 1 of 9 A pendulum consists of a slender rod, AB, of weight W = 8.80 lb and a wooden sphere of weight Ws = 22.4 lb. The length of the rod is d = 9.00 ft and the radius of the sphere is R = 0.400 ft. A projectile of weight Wp = 0.500 lb strikes the center of the sphere at…
The beam shown below is subjected to the loading P1 = 1500 N and P2 = 1800 N. The shear stress (σ) acting at point B is P2/15 mm = 112.5 MPa.
Find the distance in cm from the center of gravity of the wire shown in the figure to the center of the coordinate axis (a=5.0 cm). Round the value you find in cm to tenths (with an accuracy of ±0.1) and write it in the answer section. y(cm) A 9a B 6a 3a 0 8a 12a x(cm)
A metal beam with span = 3t is simply supported at points A and B. The uniform load on the beam has a width b = 1 in. and height h = e in. Determine the bending moment at the neutral axis and the shear stress at a sideways buckling of 160 lb/in, 4 in, and 8 in.
The system in the Figure has a linear frequency of f = 6 Hz for the following data m =12 kg,Io = 6 kg.m2,r1=15 cm,r2=30 cm. When the system is distributed by giving it an initial displacement, the amplitude of free vibration is reduced by 70 percent in 8 cycles. b) Determine k and c by noting…
By showing each step clearly, compute the equivalent spring constant for the given mass-springs system in terms of k.
a) Determine the minimal work needed to separate 1 kg of air into O2 and N2. This work can be evaluated as the availability of 21% O2 and 79% N2 (on a mole basis) when the gases are not mixed. The pressure of the gases and the environment is 1 bar; the temperature of the gases and the…
Ribbon-type mixers are often used in the food industry to carry out the mixing operation. The list of variables needed to describe the mixing process in the ribbon mixers is given below. Obtain the functional dependence of the power of the mixer (P) on the other variables. Select D, p, and N as…
d. Determine the damping coefficient of the second-order transfer function below and describe the characteristics. 6
Determine the degree of the indeterminacy for each of the following structures
Problem 18 (5 points) A 1100-O aluminum strip 228 mm wide and 25 mm thick is rolled to a thickness of 20 mm in one pass. The roll radius is 200 mm, and the rolls rotate at 100 rpm. Calculate the roll force and the power required in this operation.
Control Systems Theory a) Take the Laplace Transform of the blue text to format the black text. b) Determine the stability and system type.
Determine the centroid of the composite area y 14 mm 20 mm 10 mm (not drawn to scale) 15 mm 54 mm Answer Table Description Value * (mm) y (mm)
How is this solved? 6-34. Draw the shear and moment diagrams for the cantilever beam. 2 kN 3 kN·m 1.5 m -1.5 m Prob. 6-34
This is for robotics applications. Use the cubic polynomial method for trajectory generation. Consider a two-joint planar robot shown below: (Px, Py) Using cubic polynomials, we model the two joint functions θ1(t) and θ2(t) from the initial time t = 0 sec to the final time t = 1 sec. Find…
Solve using Simulink. Question Two: The equation of motion of a spring-mass system under force excitation is given by y = -(F(t) - 135y)/20, where F(t) is given by: F(t) = 10t, t < 1 0, 1 ≤ t ≤ 2 10, t > 2 If the system is initially at rest, find the displacement of the mass…
A three-span continuous steel beam carries a uniform dead load of 500 lbf/ft and a uniform live load of 1000 lbf/ft. It is an ASTM A992 W16-31 beam, and each span is 20 ft. What is the maximum deflection of the first span?
A special beam section is being used for an engineering structure. The dimensions are based on a dimension of '18mm' as shown in Figure 2 below. (a) Using a tabular method, calculate the centroid of the section. (b) From the tabular results from part (a) and using any appropriate equations,…
Based on the problem, respond to the following questions: a) Is the aluminum pressure vessel a candidate? Yes or no. b) Is the steel pressure vessel a candidate? Yes or no. You are asked to select a new pressure vessel. You want to choose a vessel that will leak before it fails if it were to…
My design topic is Screw conveyor assembly to convey spent grain. Please assist with different design concepts and the decision matrix for this. For your project, you are to have a minimum of three different design concepts. These concepts are not to be variations of each other. For example,…
MEU11E07-1 Q4 A mass of 300 kg is suspended from the pulley system in Figure Q4. What force F must be applied to the end of the rope to keep the mass suspended? Figure Q4 A 45 kg B C D 394.6 N 490.5 N E 589.0 N 633.9 N
A special beam section is being used for an engineering structure. The dimensions are based on dimension 'X' as shown in Figure 2 below. Each student has an individual value of 'X', which is the last two numbers of your student number. (a) Using a tabular method, calculate the centroid of the…
If the beam is subjected to a shear force of V=10 kN, determine the shear stress at point A.
ienizcevaplanmadi7.00 uzerinden isaret tSoruyu isaretle For the following system, among which of the followings is the state space model? Input is the force,output is the position of the mass. k -[-+]+[i y=[101[] -[ y=[1o1[] y=[1[] -[+ y=[i1[] y=[1o1[] Sonraki sayfa Kalan Sure 1:08:54
For the following system, which one is the controllability matrix? x = Ax + Bu y = Cx where B = C = [1,1] A = [1,5;2,-10] B = [-3,-11,1] C = None of them. D = [1,1;-3,-1] E = [1,2;5,-10]
Calculate reaction forces and draw shear force, bending moment diagram for the beam shown below. Hint: use area method. Assume M = 30 kN.m, w = 8 kN/m, F = 34 kN. IF (kN) w (kN/m) (kN.m) D 6m 4.5m 4.5m
Calculate total force vector at point A.and associated moment vector about point O.Position vector is OA.Assume z=0.4 m,F=300 NP=160 N 3 m 3m 45 P(N) 1m A F(N)
4.1. Name the fracture explosives used in the following operations: Underground Coal Mining, Underground Metalliferous Mining, Opencast Coal (Strip Mining), Dimension Stone cutting, and in an aggregate Quarry. (5)
The complex number z = -23 - 2i in the polar form a) r = 4, θ = 135 b) r = n, θ = 150 c) r = 4, θ = -150 d) r = 4, θ = 150
Q5. Design the pattern of the following Grey C.I. product with all possible allowances; show the position of parting line, type and dimensions of core and its print. Calculate volume in cm3 and mass in kg of the required molten metal for one casting considering gating and risers = 30% of total…
The tank shown below is being filled with water (p = 1000 kg/m^3) by both the pump (ps) and the free flowing inlet (qmi), for some reason. Assume R and R are laminar resistances. If A = 5 m^2, D = 0.4 m, R = 4 Ns/m^2 kg, R = 10 Ns/m^2 kg, qm = 200 kg/s, P = 6 kPa, and h0 = 0.6 m, find dh/dt at…
Generation rate. Consider a sudden change to q'z=2107 w/m3, and use the explicit finite-difference method to determine the fuel element temperature distribution after 1.5 s. The fuel element thermal properties are k=30 W/mK and a=5x10^-10 m/s. Using energy balance, we could develop the…
And y using a linear triangular element similar to the one shown in the accompanying figure, AUky Ukx k U Uir 7.3-2 Full Alternative Text The displacement variables, in terms of linear triangular shape functions and the nodal displacements, are s+as+as- = SUy+SU+SU Moreover, for plane stress…
The complex number z = -3 - 3i a) r = 3√2, θ = -135° b) r = 3√2, θ = 135° c) r = √2, θ = 135° d) r = √2, θ = -135° in the polar form.
Page 6 of 15 ZOOM Challenges and Problems Complete two of the following problems. 6. A 8 cm x 8 cm square Douglas fir (E=13 GPa) beam is loaded with a 850 N/m uniformly distributed load as shown below. a. Using the method of integration, find the elastic curve of the beam. (15 pts) b. What…
The beam shown below is made from linear elastic material, with E=4000 ksi, and Poisson's ratio=0.2. Find the maximum stresses (NORMAL AND SHEAR) at G. Use Mohr's Circle. G is at 6 ft from the left end and 6 inches from the bottom. Find the maximum stresses (NORMAL AND SHEAR) at H. Use the…
2 kip/ft 2 kip/ft Draw the shear and moment diagrams for the beam 5ft 5ft 5 ft
Q13) A particle moves in a spiral path where its position is determined by r and θ in polar coordinates. Note that t is the time in seconds. a) r = 1.2t^2 [m], θ = 0.045t^3 [rad] b) r = (0.5t^3 - 0.2) [m], θ = 0.12t^2 [rad] c) r = 0.2t^2 [m], θ = 1.5t [rad] d) r = 0.6t [m], θ = 0.021r^2…
Calculate forces in members DC and DE for the truss shown in the figure. Hint: Use the method of joints. Assume F2 = 60 kN, F1 = 130 kN, and L = 2.7 m.
Approximately 90% of mechanical structures fail due to fatigue loading. With the help of a suitable illustration, describe the three stages of fatigue failure. Suggest several ways to prevent fatigue failure.
Problem 17.88 4 of 5 II Review Part A Determine the angular acceleration of the rod at the instant the 100 N force is applied. The 4.5 kg slender rod is initially supported horizontally by a spring at B and a pin at A. (Figure 1) Express your answer in radians per second squared to three…
A car moves in a circular path of radius r = 400m. The car has a constant speed of 55 m/s. Determine: a) The angular velocity ω of the radial line OA. b) The radial and tangential components of the car acceleration. c) The magnitude and direction of the car acceleration with respect to the…
Problem 17.74 3 of 5 III Review Part A The 5-kg cylinder is initially at rest when it is placed in contact with the wall B and the rotor at A as shown in (Figure 1). If the rotor always maintains a constant clockwise angular velocity w = 6 ad/s, determine the initial angular acceleration of the…
Problem 17.62 Review Part A A motor supplies a constant torque of 3 Nm to a 50-cm-diameter shaft O connected to the center of the 28 kg flywheel. The resultant bearing friction F, which the bearing exerts on the shaft, is 46 N. (Figure 1) Determine how long the torque must be applied to the…
Calculate forces in members DC and DE for the truss shown in the figure. Hint: Use the method of joints. Assume F2 = 60 kN, F1 = 100 kN, and L = 2.1 m. T F L (m) F C E F 4m B F 4m 4m ASDC = 60.5 kN (T, SDE = -104.9 kN (CB. SDC = 63.5 kN T. SDE = -108.9 kN CC. SDC = 45.5 kN T. SDE = -96.9 kN…
Consider a rectangular aluminium slab subjected to boundary conditions such that heat diffuses in the x-y plane surface, as shown below. Answer the following: a) Write the steady-state governing equation for heat conduction (diffusion) and list the assumptions involved. b) Write the equivalent…
The complex number z = -3 - 3i in the polar form: ar = 3√2, θ = -135° br = 3√2, θ = 135° cr = 2, θ = 135° dr = 2, θ = -135°
Problem #2 (10 points): Plate Length, Reis9104: Find the rate of heat transfer from the plate transfer. For air at 1 atm, assume k = 0.0299 W/m·K, Pr = 0.70. Draw a sketch and show all calculations in SI units.
Consider a rectangular aluminium slab subjected to boundary conditions such that heat diffuses in the x-y plane surface, as shown below. Answer the following: (a) Write the steady-state governing equation for heat conduction (diffusion) and list the assumptions involved. (b) Write the…
1582 A large railroad has experimented with burning powdered coal in a gas turbine combustor. Fifty percent excess air was introduced to the combustor at 1380 kPa and 127°C while the powdered coal was injected at 25°C. The combustion was adiabatic and at constant pressure. Based on a coal…
What is the correct answer? Yield strain for steel, crushing strain for concrete: yield stress for steel. What is the stress and strain level at point A? AS3 = 13 A$3 < $3 O-C. E = Ey 00 < EY DE A < 3 OF E = Ey OG E = Esy OH g < 3 C = cu Ec = Ecu <9 = fy E > Eu Ecu Ec = Ecu EEcu C = Ecu a < f…
The complex number z = -23 - 2i in the polar form is ar = 4, θ = 135°.
Remaining Time: 15 minutes, 15 seconds Question Completion Status: 20 points Save Answer Question 1: Calculation of force and moment at the fixed point A. Assume vertical force and counterclockwise moment directions are positive, and given M = 20 kN·m, L = 1.8 m, F = 22 kN, and w = 2.8…
Calculate the reaction force and moment at the fixed point A. Assume that the vertical force and counterclockwise (CCW) moment directions are positive. Given M = 20 kN·m, L = 1.8 m, F = 18 kN, and w = 1.4 kN/m. | F (kN) | w (kN/m) | M (kN·m) | L (m)…
Determine the location of the centroid for the given shape along the x and y axes 400 mm 300mm 300 mm 300 mm
Determine centroid location along the x and y axes x and y) for the shape below. (1,1)
Determine the surface area and the volume of revolution for the shape given below 140 mm 80 mm
1. Using the continuity, momentum and energy equations show that the changes across an oblique shock wave are governed by the normal component of the velocity. V M M2 V2.M2 V,M1
If a lignite with a lower heating value of Hu=29000 kJ/kg contains 6% H and 12% W, what is the higher heating value of this fuel, in kJ/kg? Latfen birini seçin a. 31255 b. 25015 c. 27390 d. 30610
Text: Automatic Control Systems Q5: Derive a state-space representation of the system described below: 4y + 5y + 6y = 6u
I need MATLAB files as well as a Word document with answers for question 7.36. 7.36 Roller bearings are subject to fatigue failure caused by large contact loads (Fig. P7.36). The problem of finding the location of the maximum stress along the x-axis can be shown to be equivalent to maximizing…
A feature is transported by convection and diffusion across the one-dimensional space plotted in Figure 1 below. The boundary conditions are o=1 at x=0 and i=0 at x=L. Using the general form of the transport equation, dividing into five equally spaced cells, and using the central difference…
Required Information 4178 J/kgK with mass flow rate of 5 kg/s enters the heat exchanger at 20°C. Use the table given below to find the effectiveness. Heat exchanger type Effectiveness relation 1 Double pipe Parallel-flow 1-exp(-NTU(1+c)) 1-exp(-NTU(1-c)) Counter-flow 1-exp(-NTU(1-0)) (for c<1)…
Express the forces on rods BF, CE, and GF in terms of P (assume that P is positive). P D 30 60 30 B 45 45
During a hot summer day, a 2-L bottle drink is to be cooled by wrapping it in a cloth kept wet continually and blowing air onto it with a fan. If the environmental conditions are 1 atm, 80°F, and 30 percent relative humidity, determine the temperature of the drink when steady conditions are…
A water-soaked 10 cm x 10 cm square sponge is experiencing parallel dry airflow over its surface. The average convection heat transfer coefficient of dry air at 20°C flowing over the sponge surface is estimated to be 30 W/m^2-K, and the sponge surface is maintained at 30°C. If the sponge is…
2. Modify the Runge-Kutta solver in Listing 1.2 so that it solves the first-order pendulum problem with the initial conditions θ(0) = 7/2, θ'(0) = 0 and the parameters m = 0.1 (kg), l = 2.0 (m) and g = 9.81 (m/s^2). Plot θ and θ' for t = 0...5 (s). How many percent larger is the period in…
1. Starting from Newton's laws, derive the second-order governing equa- tion for a pendulum of mass m and length l using the unknown angle 0, and then derive the corresponding first-order system in the standard form y' = f(y) by introducing n = 0 as an auxiliary variable.
Figure 2: Open Loop Configuration Given G1=1/(s^2-1), G2, and p, the feedback system from U to O needs to be stable. We need to determine the values of K and p such that the poles of the closed-loop transfer function from U to O are located at -4 + j4.
Text: Question 3: 30 kN 10 kN 20 kN/m + W610x82 5m 5 m The W610 x 82 beam shown above has a Young's modulus of E = 200 GPa, an allowable bending stress of altow = 300 MPa, and an allowable shear stress of Tallow = 150 MPa. a) Draw the SFD and BMD of the beam…
Equations are required to calculate the air fuel ratio, the hydrogen/carbon ratio, the stoichiometric air fuel ratio, and the equivalence ratio from the exhaust emissions readings obtained from a 4-gas analyzer, which measures the following emissions on a dry gas basis: Carbon monoxide (%CO),…
A gas engine operating on methane at 1500 rpm, full throttle, generates the following emissions measured on a dry volumetric basis: CO2: 10.4% CO: 1.1% H2: 0.6% O2: 0.9% NO: 600 ppm HC: 1100 ppm (as methane) If the specific fuel consumption is 250 g/kW h, calculate the specific emissions of…
The last question, "the temperature at a point 200mm interior side is" which formula is it? I never saw formula like this. Is the formula belongs to heat flow rate or heat flux? Can you give me a detail explanation? Example 3: Temperature at a particular point Solution: The thermal resistance…
Oxygen-rich Air to Enhance Combustion: Analyzing the Molecular Weight of the Air Mixture One approach to avoid unburnt fuel and carbon monoxide as products of a combustion process is to supply oxygen-enriched air to react with the fuel. In analyzing such a system, one step is to identify the…
QUESTION1 Solve the following differential eguation with initial condition by using the Laplace transform method dy y(0)=0 7p
10.25: Following combustion in a piston-cylinder, the system is at 1000 K and contains the given composition: Species mass (kg) Molecular Weight (kg/kmol) CO2 3 44.011 HO 18.016 N2 14 28.013 a) Find the mole fraction of each species in the mixture. b) Find the apparent specific heat at…
19.100 A 4-kg collar can slide on a frictionless horizontal rod and is attached to a spring with constant k. It is acted upon by a periodic force of magnitude P = P*sin, where P = 9N and ω = 5rad/s. Determine the value of the spring constant k, knowing that the motion of the collar has an…
Describe the sequence of events that occurs in a robot controller when a new endpoint location is requested, specifically in terms of forward and inverse kinematic calculations. (3 Mar)
19.6 A 20-lb block is initially held so that the vertical spring attached as shown is undeformed. Knowing that the block is suddenly released from rest, determine the amplitude and frequency of the resulting motion, as well as the maximum velocity and maximum acceleration of the block. Figure…
A disk sander design is proposed where a 300 mm sanding disk is attached directly to the end of a stock shaft of a 1/2 HP ball bearing motor. The maximum shaft loads estimated to result from pressing objects against the sanding disk are shown applied at point A of the loading diagrams provided…
2) Find the inverse Laplace manually and verify your solution using MATLAB for the following functions: a) F(s) = 10S(S + 1) b) F(s) = (S + 2)^2/(S + 1) c) F(s) = S(S^2 + S + 1) d) F(s) = 5e^(-S)/(S + 1) e) F(s) = (6S + 3)/(S^2 + 5S + 2) f) F(s) = 5S + 2/(S + 1)(S + 2) CAN YOU SOLVE THESE…
Help ASAP Given: - Rotational speed: 50 rpm A. To determine the maximum inside diameter of the tube using a factor of safety of 2.0 based on the yield strength in shear. B. To find the angle of twist based on the diameter and a shaft length of 3 feet (3.00').
Aoklam Baglik2 Konu E Deg armal Aratik.Yol The rectangular cover, which makes an angle of 60 degrees horizontally with the ground, has a perpendicular width of Zm to the plane of the page, and the 2500 kg mass connected to it passes over a roller and stands as in the figure. Calculate at what…
Two systems of particles are sintered at the same temperature. One system is composed of cube-shaped particles, and the second system is composed of spherical-shaped particles with a diameter equal to the cube edge; that is, the cube edge = diameter of spherical particles. This gives identical…
The Tieahe 1 bmy h2 Noumon In the given system h1=30cm, h2=10 cm, h3=70 cm, h4=20cm and densities of fluids pi=1000kg/m3, pj=1.25kg/m3. NOT CONSTANT Dpk=13600 kg/m^3. Pressure in line APa=10bar so find the pressure in line B. (Finding unit should be pascal Akiskani meaning is fluid QA
Text: Only 17.8 The flywheel. (Knowing that the initial velocity is to be 360 rpm at the start of each punching, determine the number of revolutions that must occur between two successive punchings if a constant 24.4 N-m couple is applied to the shaft of the flywheel.) 17.7 Disk A…
2. Find the adiabatic flame temperature when methane CH gas is burned under stoichiometric conditions
Question 8 5 pts The X-Ray Photoelectric Spectroscopy, XPS, is used to analyze the top atomic layers. T/F ? Jrue e O False Question 9 5 pts Sound travels through a vacuum at the speed of 330 meters/second. O True O False Question 10 5 pts True/False: Ultrasonic testing can NOT be used for…
Which of the following materials has a weak induced magnetic field, which will disappear with the removal of the magnetic field? Ferrimagnetic Paramagnetic Ferromagnetic All of them None of them Question 5 5 pts X-rays are not capable of ionizing matter since their wavelength is too short to…
The direction and value of the resultant force (F_{R} = F_{1} + F_{2}) seen in the system in the figure calculate.
3) Draw Mohr's circle that describes each of the following states of stress: 800 psi 60 MPa 8 kN/m^2 800 psi (a) (b) (c) 4) Determine the normal and shear stresses at point D that act perpendicular and parallel, respectively, to the grains. The grains at this point make an angle of 30 degrees…
For the system below, use the modal analysis technique, detailing all eight steps, to determine the x(t) equations for displacement for each mass. Assume initial conditions x1(0) = 1, x2(0) = 0, x3(0) = x4(0) = 0. Use Excel to plot the responses. N 100 m N 150 m 2 kg 5 kg X1 X2
Please solve 1 and 2 using Mohr's circle only! 1) Determine the stress components acting on the inclined plane AB. 65 MPa 20 MPa 2) Determine the equivalent state of stress on an element at the point which represents (a) the principal stresses and (b) the maximum in-plane shear stress and the…
Friction of the gears, fixed to its ends, are subjected to torques. The tubes have an outer diameter of 30 mm and an inner diameter of 20 mm. The solid section has a diameter of 40 mm. Given T = 99 N.m, determine the absolute maximum shear stress developed in each segment. Take pi = 3.14. …
The Taylor series of any function f can be written as: f(x+dx) = Σ (n=0 to N) [f^(n)(x) * (dx)^n / n!] If you have the following function: f(x) = -0.1x^4 - 0.15x^3 - 0.5x^2 - 0.25x + 1.2 Calculate the percentage true error when approximating the function f(x) at x+dx=1.9 using Taylor…
3s+1 approximated by s+4 b) c values for stability.
Text: u = f(1) b ki WW m m^2 k^2 W Consider the given mechanical system with masses mi, springs k, dampers bi, displacements of masses xt), i = 1, 2, and the input force f(t). a) Write the time-domain equations of the system via drawing its free-body diagram. b) Obtain the state-space model of…
ss + 3a Determine: f) Sketch the root locus
An engineer wishes to image the collagen type I fibre orientation in an excitation of endogenous fluorophores. Describe the process of multiphoton excitation with regard to two photon excitation and clearly explain the phenomenon of second harmonic generation.
Pen turning at 50 rpm. Determine: A. The maximum inside diameter of the tube using a factor of safety of 2.0 based on the yield strength in shear. B. The angle of twist based on that diameter and a shaft length of 3 feet.
R(s) C 1 S+1 S^2+2 K Consider the system above for a=6 and use Routh-Hurwitz tabulation for the questions below. b) Find the value of K which makes two of the closed-loop system poles on the imaginary axis and the other in the left-half complex plane. Calculate the purely imaginary root…
G(s) = s + 4s + 2s + 2.5s^2 + 3s + 3s + 1.5s + 3.5s^2 + 1 Determine the: 1) DC-gain 2) Final value of the output Y(s) if the input Rs is applied with a step of 3
Determine the x- and y-coordinates of the centroid of the shaded area. Answers: (x, y) = ( ) in.
Problem4: For the mechanical system shown to the right, the uniform rigid bar is supported by identical springs and dampers. For this sys- tem find the equations of motion in terms of and 9.
The following transfer function represents a certain plant: 0.9/(s^2 + 2s + 1). Show the DC transfer function in terms of K and Kp. Determine Kp for a rise time less than 2 sec.
In a control experiment, when the donor and acceptor were at a distance of 50 Ã…, the efficiency of energy transfer was 0.5. Use this result to answer the following questions: What would be the efficiency of FRET if the distance increased by 20%? If you have a FRET efficiency measurement of…
s+2s+3 approximated by (s+4 a Compute the overall transfer function T(s b) Show the system's characteristic equation with Ka in the y-axis and Kp in the x-axis) values for stability.
122.6 liters of water in a cylindrical vessel is being pressured vertically downward by a piston with a 78539.2 Newton (N) force. The tank has an internal radius of 25.5 cm and a height of 60 cm. Connected to the bottom of the tank is a 1-inch diameter, 5 ft long hose with an outlet jet nozzle…
Determine: The Characteristic Equation, i.e. 1 + GDH = 0 s(s + 3d) b) The controller-plant gain K c) The loop transfer function L(s) d) From L(s), what are a(s) and b(s)? e) Show the zeros and the poles for the L(s) on a root-locus diagram f) From the characteristic equation, determine the…
For the following block diagram, compute the: a) overall transfer function, and the b) characteristic equation. Y(s) = U(s) Note that all ai and bi are constants.
Part C Section 19.3 Conservation of Momentum 1 of 9 II_Review Part B A pendulum consists of a slender rod, AB, of weight W = 8.80 lb and a wooden sphere of weight Ws = 22.4 lb. (Figure 1) The length of the rod is d = 9.00 ft and the radius of the sphere is R = 0.400 ft. A projectile of weight W…
The Routh's stability criteria determine if the following systems are stable or not: s^4+3s^3+10s+8, s^5+2s^4+13s^3-s^2+100s+21.2, s^4+21s^3+60s^2+5s+1.
Use the conventional method to find the factor of safety for the weld metal and the factor of safety for the attachment (base) metal for the following welded joint: Weld pattern: 8 inches Given Information: Base Metal: 1018 HR Steel with Sut = 58 kpsi and Sy = 32 kpsi Electrode used: E6010 F…
20. A student obtains some ordered pairs of data x.y. He believes the data should follow an equation of the form y=ax^b, with a and b unknown, so he makes the plot shown in Figure 6 to identify a and b. The value of a is closest to A.0.3 B.3 C.13 D.23 E.33 18.2 18 17.8 17.6 17.4 y=23x+1.1136…
Machine Design..Please answer quickly for 2 likes 4. Welded joint stress The beam is joined to the base plate by [5x4] two fillet welds (top and bottom as shown). The weld material has an allowable shear stress Tallow=150 MPa, length of weld per side, b=60 mm, c=150 mm, d=60 mm, weld leg size…
Power Screw A square-shaped frame is tightened by a Turnbuckle and the diagonal cable, as shown. The turnbuckle is shown separately below. By rotating, it works on both left and right-handed square threads (Mean diameter 0.5 inch, lead l=0.125 inch, friction factor f=0.25) to tighten the cable.…
Pam (12 Marie Hebert/ING1057/H23/Fina 6[20 points] A gas turbine works according to the Brayton cycle. The pressure ratio is 8. The temperature at the compressor inlet is 300 K. The temperature at the turbine outlet is also 300 K. The ideal cycle with isentropic and constant pressure evolutions…
Shaft Design: The solid shaft carries two 70 lb shafts and the distances between bearings and the masses. The static deflections were determined to be: y1 = 2.38E-4 inch, y2 = 2.04E-4 inch, y3 = 6.12E-4 inch, and y4 = 4.76E-4 inch. a. Determine the first natural frequency of the shaft using…
Text: Handwriting, if possible please. Mechanical Vibration Answer every question A, B, C, D with handwriting. The course is Mechanical Vibration. For the system shown in the figure below, take: - The stiffness of the beam as k = Z + 1 105 N/m, where Z is the last digit of your PMU ID…
After an edge dislocation has passed through a region of a crystal, the atomic arrangement of that region: a) becomes disordered b) maintains original ordering c) becomes partially disordered. In response to applied shear stress, the edge dislocation line motion direction is parallel to the…
Bolt type: A. Type N B. Type X C. Type for SC 1. Easy to install in the shop 2. Easy to install in the shop but costly 3. Easy to install in the field A. Bolts B. Penetration welds C. Fillet welds
You are designing a novel way to move a plate that holds a red ball so that the ball will roll into a bucket. Your method is to use a rod AB made of C86100 Bronze, diameter = 1.5 inches, that is connected to a plate at B (blue rectangle) and fixed to the floor at A (gray rectangle). Then you…
So-called Power Towers are solar receivers for concentrated solar thermal energy collection (see https://en.wikipedia.org/wiki/Solar_power_tower). In these towers, a collector material absorbs solar radiation energy to heat a working fluid for electricity generation. Consider a flat collector…
A circular vacuum furnace is 0.5 m long and 0.5 m in diameter. The cylindrical sides (surface 3) are heated such that all temperatures are maintained at a steady state at the temperatures shown below in the figure. All surfaces within the furnace are diffuse and gray (meaning that total…
Mo A B c Determine the reaction at B.
Q5. In a plant, the compressed air piping is about 1000 ft long. Air is to be supplied at 100 psig at the rate of 250 cfm. The pressure drop over the length of the pipe should not exceed 5 psi. What pipe diameter is required? For the pipe chosen, what is the pressure drop?
Key and pin play an important role in the power transmission system. Discuss different types of keys and pins. Sketch an appropriate schematic for each key and pin
Shaft is a rotating member usually has a circular cross section and is used to transmit power or motion. In a power transmission system, a coupler is usually used together with the shaft. Briefly explain the function of the coupler and different types of couplers available in the market.
The W10×45 is made of A-36 steel and is used as a column that has a length of 15 ft. If its ends are assumed pin supported, and it is subjected to an axial load of 110 kip, determine the factor of safety with respect to buckling. The W10×45 is made of A-36 steel and is used as a column that…
Thickness 0.2m. T = 5m I0M. CALCULATE: TX
Problem 2: Simulation of a DC Motor with Friction Perturbation and Saturation using a PI-V Controller Considering the control design in problem 1 and the system parameters given below, simulate a DC motor with friction perturbation, saturation, and a PI-V controller. The control response to a…
Thickens 0.2M 8m 4M. CALCULATE 1*I and the following cross section
Failure prevention is an important factor to be considered when designing a new product. Discuss two failure criteria that can be used to predict the failure of the product (made from AISI 1018 steel subjected to static loading at room temperature). Elaborate on how these two criteria are…
You work as a design engineer for a company that specializes in creating toys for kids. The company is looking to design a new dart that is not only safe and fun but also durable and easy to use. The new dart will be designed based on the modification of an existing dart in the market, as shown…
A log rolling downhill has an initial velocity of 0.5 m/s. The log is 2.0 m in length and 0.3 m diameter. It is of uniform density and has mass of 25 kg. If the log rolls without slipping, find the velocity when it has traveled a distance of 5.0 m down the slope of 30 degree pitch. O.SM/ 30
A softball/baseball bat is 34 inches long. The bat is placed in a horizontal position with platform scales under each end. The handle end, nub, weighs 0.6 lb. The batting end weighs 0.8 lb. Find the distance of the center of gravity from the handle end. The bat is suspended vertically by its…
Wheel I rotates about its center, A, in a fixed reference frame. Wheel II rotates about a point B near the periphery of Wheel I. The distance of B from A is 1.5 ft. Point C, on Wheel II, is at a distance of 1.5 ft from B, the center of Wheel II. At the instant shown, point C is coincident with…
A smooth sphere collides normally with a fixed vertical wall. The two diagrams show the speed and direction of motion of the sphere before and after the collision. The value of e is given in each case. Find the speed of the sphere after the collision in each case. a) e = 1/2 Before impact: 7…
12. A Steel alloy (B) Titanium (C) (D) Stainless steel E) Aluminium 13. B C Parts subjected to impact must be designed to absorb energy. E Impact loads can be ignored for lightweight designs nominal stresses (D) (E) (A) (B) (C) 15. Which of the following discontinuities may result in fatigue…
A small smooth sphere A of mass 1 kg is traveling along a straight line on a smooth horizontal plane with speed 4 m/s when it collides with a second smooth sphere B of the same radius with mass 2 kg and traveling in the same direction as A with speed 2.5 m/s. After the collision, A continues in…
What is the tension on P if the obiect is 100 N?
Text: k c m (Figure 1 Mass Spring Damper System) Part 3 Choose system parameters arbitrarily and set up a mathematical model in Matlab Simulink. Show the graphs of the results you found for x, x, and x for the unit step force input. Part 4: Apply sine input given…
Q4.A50-hp compressor running 8,000 hr/yr and is fully loaded (53 A at 84% PF) 60% of the time and unloaded (40 A at 78% PF) 40% of the time at 480V. Calculate savings and simple payback for using heat from the air compressor to displace gas-based space heating. The avoided cost of demand is…
Calculate the damping factor with the following data: FE = 501 Le = 10 ew 2 = 3 k32 = 2016 / = 2001b =
A 100 kg turbine operates at 2000 rpm. What percent of transmissibility is achieved if the turbine is mounted on four identical springs in parallel, each with a stiffness of 3x10^6 N/m? Ans: 37.6%
b 2) Explain industrial pumps and electric generators in two separate paragraph
A 200 kg machine is attached to a spring of stiffness 4 x 10^5 N/m. During its operation, the machine is subjected to a harmonic excitation of magnitude 500 N and frequency 50 rad/s. Design an undamped vibration absorber such that the steady state amplitude of the primary mass is zero and the…
Please help me get a 100 Question 1.(5 points) What part design feature removes material from a part body solid volume to leave behind a thin-walled structure determined by a numerical value set in a dialog box? Cavity OShell Oslot Question 2(5 points) What procedure will toggle part visibility…
Question 11 (5 points) Saved: What Assembly Workbench function constructs a parts list for use in your assembly and drafting projects? Analysis/BOM Insert/BOM Edit/BOM FEP/BOM Question 12 (5 points): What Assembly Workbench function will move parts with respect to their constraints? Reset the…
Permissible shear stress: 150 MPa Welding length: h = 12 mm, yc = 80 mm Find the value of L1, L2 (mm). Please show all work step by step. Thanks in advance! L1 = 200 mm P = 30 kN L2 = ?
23. Which of the following statements is true? A. The contact ratio is only a function of the number of teeth. B. The greater the contact ratio, the smoother and quieter the operation of the gear. C. The lower the contact ratio, the smoother and quieter the operation of the gear.…
A. Equalize the load carried by threads in contact, possible to the proof strength of the bolt. B. Guard against initial loss of bolt-joint tension. C. Increase stiffness of threaded fasteners. 18. Which of the following is true? A. Riveted joints can be easily disassembled. B. Rivets are not…
E) bending moment 7. Which of the following statements is false? B Internal material imperfection can cause stress concentrations C Stress concentrations may increase stress in all principal directions D For static loading, it is customary to ignore stress concentrations E For dynamic loading,…
Calculate the stress distribution across the cross section of the composite sandwich panels. The core is 8 mm thick Nomex honeycomb, and the hybrid skins are Carbon Fabric of 0.66 mm, Kevlar Fabric of 0.38 mm, and Glass Fiber of 0.56 mm on each of the upper and lower sides of the panels in the…
Operation conditions, producibility, component life, and safety - all of the above need to be considered.
What are the phases and wt% present at A (1100°C, 60 wt% Ni), B (1250°C, 50 wt% Ni), and C (1350°C, 40 wt% Ni)? A TC 1600 L (liquid) 1500 liquidus 1400 Cu-Ni solidus phase 1300 diagram a 1200 (FCC solid) 1100 1000 0 1 20 40 60 80 100 wt% Ni
(b) Solve the following gearing problems. (i) In the epicyclic gearbox shown in figure 6, the pitch radii of gears A, B, C, and D are 30 mm, and the pitch radius of the outer ring gear E is 90 mm. Knowing that gear E has an angular velocity of 180 rev/min clockwise and that sun gear A rotates…
Please include the force of reaction at B and C as well, and the moment of B. III Review Determine the force of reaction at A. Express your answer in terms of some or all of the variables L, I, and P. Enter a positive value if the force is upward and a negative value if the force is…
2=8 kN Draw the shear and bending momen diagrams for the beam shown in the figure The support at A is a pinned support an the support at D is a roller support. P,=5 kN YR TC 2 m 6 m
Q-5a: Derive the Equation of Motion and Find the Natural Frequency of the System as Shown in Figure 4. Figure 4:
Mechanical Design (MECH 0026 - Spring 2023 - CW1 (Assignment) - Session A - QP Q1: Using the part reduction method, redesign the oil filter assembly and calculate the assembly time using the Boothroyd-Dewhurst method. (25 Marks) NOTE: The value will vary as students are independent to select…
Consider the unity feedback system given by the block diagram below. a. Find Y(s)/X(s). b. If E(s) = X(s) - Y(s), what is the transfer function E/X? c. Determine E(s) given x(t) = u(t) + tu(t). d. Determine H(s) such that e(∞) = 0.10. Consider the unity feedback system given by the block…
A bridge is supported as shown, with the weight force of the bridge acting through the point D: RA RB 5m 5m D I 4 kN 10m 10 kN a) Calculate the reaction force from the support at point A. (4 marks)
An athlete is holding 28 lb of weights at a height of 6 inches above the stack as shown. To lower the weights, she applies a constant force of 5 lb to the handle. Determine the velocity of the weights immediately before they hit the stack. The velocity of the weights is ft/s.
Calculate the x shift amount for point a on the drawing shown below if the end mill diameter is 0.5, the chamfer length = 0.250, the chamfer angle θ = 35, dimension X = 3.400, and dimension Y = 3.750. Calculate the Ax shift amount only, not the absolute position from part zero. Round your…
Q5. In the figure, the hydrostatic pressure force that will affect the AB surface with a twin-edge triangular surface and the effect find the distance of the center from the water surface. 2.5 m 1.5 m B 3 m 1.5 m 09
The shaft is composed of two steel pipes attached with a coupling at B. Pipe AB has an outer diameter of 6.50 in. and a wall thickness of 0.375 in., and pipe BC has an outer diameter of 4.50 in. and a wall thickness of 0.375 in. The shaft is subjected to two torques. TB = 28 kip-ft and Tc = 9…
A cylindrical vessel fully filled with water has an internal radius of 25.5 cm and a height of 60 cm. Kindly calculate the total amount of water (H2O) in the vessel.
Freshwater and seawater flowing in parallel horizontal pipelines are connected to each other by a double U-tube manometer, as shown in the figure below. Determine the pressure in kg/m^3, and the oil specific gravity is 0.72. Take h_water = 50 cm, h_mercury = 10 cm, h_oil = 70 cm, and h_seawater…
Problem #1: The shaft rotating at 200 rpm, as shown in the figure. 0.5-in diameter spur gear 20*FD 20-in diameter flat-belt pulley 6-in diameter chain sprocket i. The shaft carries a spur gear C with 80 teeth and a diametral pitch of 8. The teeth are of the 20, full-depth, involute form. The…
Problem 03.065 - Shaft design for power transmission Consider a solid steel shaft with an allowable shearing stress of 58 MPa. Problem 03.065.b - Shaft design for power transmission Design the shaft to transmit 18 kW at a frequency of 64 Hz. The diameter of the shaft is mm.
Find the reaction forces (R1 and R2) of the system given below by Finite Element Method. 15P Material properties: E = 207000 MPa Geometric features: Applied Loads: Area = 100 mm^2 F = 500 N F = 1000 N e = 500 mm a = b = 0.3e^2
Shunt+ distance ring. Find the required lengths shown on the picture using the relevant chart. Draw the "z" detail neatly with your free hand. (p: 0.2d for distance ring)
Drone "A" is flying with constant speed "U" along the straight line, characterized with constant distance "H" from the surface. The angle of inclination of the surface "theta" is known. The orthogonal projection of the drone "A" on the surface is denoted as "B" (i.e. AB=H). When the drone is…
Q1. In order to keep the resultant hydrostatic pressure force acting on the AB cover in the figure and to keep the cover closed calculate the minimum required spring force. The depth of the cover perpendicular to the shape plane is 4 m. Your Cover ignore the weight. V 5 m ww B Yay
A company wishes to establish one warehouse among n locations to meet the demands di, i=1,...,n. The cost of building the warehouse is f at location i. The warehouse has a supply limit s, so it may not be able to cover all locations. The costs of transporting goods between locations are cij,…
Define: Solution, Mixture, Components, Phases. Explain the Lever Rule. What are the phases and wt% present at A (1100°C, 60 wt% Ni), B (1250°C, 50 wt% Ni), and C (1350°C, 40 wt% Ni)?
27. In a PMSM motor, the three-phase currents are 20A, -11A, and -9A at an instant in time. The air gap length is 1 mm, and the number of turns, N, is 200 (in each phase). Compute the resultant flux density, B, and plot it as a function of theta. (10 points)
Solve the following differential equation: 2xy - 2xdy + 4x - 6xy + 2xydx = Oa. -2xy + 6xy + x^4 = C Ob. xy - 2xy + x^4 = C Oc. xy^2 - 6x^2y + x^3 = C Od. xy^2 - 2xy + x^3 = C Oe. xy^2 + 6xy + x = C
A 20-lb block is initially held so that the vertical spring attached, as shown, is undeformed. Knowing that the block is suddenly released from rest, determine: a) the amplitude and frequency of the resulting motion, b) the maximum velocity and maximum acceleration of the block. 901 lb/in 201…
80x80x26 mm Stock size 12 mm Tool size. 300.02 RZ0 R10 600.02 mm/min Feed rate F -2 008 speed rpm SpindleS component shown above using a CNC milling machine. Set your G54 at the center of the part Use the parameters shown in the table below to write a part program that will machine the given…
Calculate the y shift amount for point b on the drawing shown below if the tool diameter is 0.750, the chamfer length is 0.375, the chamfer angle is 6, dimension X is 2.250, and dimension Y is 2.125. Calculate the Ay shift amount for point b only, not the absolute position from part zero. Round…
Example 4.4 Using three different cable-pulley arrangements shown in Fig. 4.25, a block of weight W is elevated to a certain height. For each system, determine how much force is applied to the person holding the cable. Solutions: The necessary free-body diagrams to analyze each system in Fig.…
A cylinder 1 m long rotates counter-clockwise with an angular velocity of 40 rad/s. The uniform free-stream velocity is 10 m/s. The pressure in the free flow is 300 kPa. Air's density is 1.2 kg per cubic meter. a) What is the stream function for this flow? Make a plot with some streamlines.…
The disk in the figure below is connected to two springs. Use the energy method to calculate the system's natural frequency of oscillation for small angles θ(t). x(t) mass
A motor weighing 350 lb is supported by four springs, each having a constant of 750 lb/in. The unbalance of the rotor is equivalent to a weight of 1 oz located 6 in. from the axis of rotation. The motor operates at a speed of 1200 rpm. STRATEGY: You can determine the resonance speed directly…
Example 4.3: Uniform Horizontal Beam Supported by Cable and Wall The uniform, horizontal beam shown in Fig. 4.18 is hinged to the wall at point A and supported by a cable attached to the beam at point B. At the other end, the cable is attached to the wall such that it makes an angle of 53°…
Fig. 4.14 Example 4.2 F=0 Px-RAxO 9g-R,-w-Rng 42Fy= 2M-0 Example 4.2: The uniform, horizontal beam shown in Fig. 4.14 is hinged to the ground at point A. A frictionless roller is placed between the beam and the ceiling at point D to constrain the counterclockwise rotation of the beam about the…
Application of the load p-120 lb. Determine: 12. The internal force in wire BEFne b Answer: 171 13. The internal force in wire CFFcr lh Answer: 14. The deformation in wire BEBEin Answer: 15. The deflection of pointDin Answer:
Q6. A process to be controlled has two controlled variables Y and Y2, and three inputs that can be used as manipulated variables, Ui, U2, and U3. However, it is desired to use only two of the three manipulated variables in a conventional multi-loop feedback control system. Transfer functions…
I don't have much time. Can you help me?
3.3 Given the series u(x + Ax) = u(x) + uxAx + 1/2uxxAx² + 1/6uxxxAx³, write the LTE for a forward difference scheme and indicate the accuracy.
Problem No.1: Derive the expression for the equivalent spring constant that relates the applied force F to the resulting displacement x of the system shown in the Figure. Assume the displacement of the link to be small. Solution:
A power plant operating with the rankine cycle is established to obtain electrical energy from a geothermal well. It is known that the maximum temperature that geothermal water can reach is 350 C. It is accepted that the efficiency of the geothermal boiler providing heat to the cycle is 100%…
Part I (Numerical Methods, 50%): Consider the following differential equation with x and y as outputs, and u as a unit step input: x + 0.25x + yy = u, x0 = 0, x0 = 1, y = 0.5y + yx, y0 = 1, y0 = 1. Numerically solve for and plot xy for a period of 10 seconds using the ode45 function.
Please help and show work so that I understand. Thanks in advance! Problem 2: Problem 7.22 on page 481, 7.22 Derive the model for the system shown in Figure P7.22. The flow rate is a mass flow rate and the resistances are linearized. Figure P7.22
Problem 1: Problem 7.1 on page 477 7.1 For the hydraulic system shown in Figure P7.1, given A = 15 in^2, A = 45 in^2, and mg = 80 lb, find the force fi required to lift the mass m a distance x = 8 in. Also, find the distance x and the work done by the force fi. Figure P7.1: [Image of…
The beam shown below is subjected to the loading P1 = 1300 N and P2 = 1.3 kN. Find the normal tensile stress at point B in MPa. P2 Pâ‚ 15 mm 20 mm 20 mm 15 mm 100 mm B 10 mm
The beam shown below is subjected to the loading P1 = 1300 N and P2 = 1500 N. The bending stress (σ) acting at point B is given by σ = (P2 * 0.75 * 5) / (9.4 * 0.81 * P1). The dimensions of the beam are as follows: 15 mm, 20 mm, 20 mm, 15 mm, and 100 mm. The distance from point B to point E…
Conservation of Momentum 1 of 9 A pendulum consists of a slender rod, AB, of weight W = 8.80 lb and a wooden sphere of weight Ws = 22.4 lb. The length of the rod is d = 9.00 ft and the radius of the sphere is R = 0.400 ft. A projectile of weight Wp = 0.500 lb strikes the center of the sphere at…
The beam shown below is subjected to the loading P1 = 1500 N and P2 = 1800 N. The shear stress (σ) acting at point B is P2/15 mm = 112.5 MPa.
Find the distance in cm from the center of gravity of the wire shown in the figure to the center of the coordinate axis (a=5.0 cm). Round the value you find in cm to tenths (with an accuracy of ±0.1) and write it in the answer section. y(cm) A 9a B 6a 3a 0 8a 12a x(cm)
A metal beam with span = 3t is simply supported at points A and B. The uniform load on the beam has a width b = 1 in. and height h = e in. Determine the bending moment at the neutral axis and the shear stress at a sideways buckling of 160 lb/in, 4 in, and 8 in.
The system in the Figure has a linear frequency of f = 6 Hz for the following data m =12 kg,Io = 6 kg.m2,r1=15 cm,r2=30 cm. When the system is distributed by giving it an initial displacement, the amplitude of free vibration is reduced by 70 percent in 8 cycles. b) Determine k and c by noting…
By showing each step clearly, compute the equivalent spring constant for the given mass-springs system in terms of k.
a) Determine the minimal work needed to separate 1 kg of air into O2 and N2. This work can be evaluated as the availability of 21% O2 and 79% N2 (on a mole basis) when the gases are not mixed. The pressure of the gases and the environment is 1 bar; the temperature of the gases and the…
Ribbon-type mixers are often used in the food industry to carry out the mixing operation. The list of variables needed to describe the mixing process in the ribbon mixers is given below. Obtain the functional dependence of the power of the mixer (P) on the other variables. Select D, p, and N as…
d. Determine the damping coefficient of the second-order transfer function below and describe the characteristics. 6
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