Home
Ask directory
Physics 101 Mechanics
May 2023
14
Physics 101 Mechanics
Q&A Archive of
May 14, 2023
Select Question
May 14 of 2023
c) The control logic for a residential heating system is to operate as follows: During the daytime, heating is required only if the temperature falls below \( 68^{\circ} \mathrm{F} \). At night, heating is required only for temperatures below \( 62^{\circ} \mathrm{F} \). Assume that logicā¦
Determine the coordinates of the centroid of the shaded area. Dimensions in millir swers:
The Moonās orbit is roughly circular about the Earth at a distance of 384,400 km.
Determine the ( y )-coordinate of the centroid of the shaded area. The triangle is equilateral.Dimensions in millimeters
34. The water in a tank is pressurized by air, and the pressure is measured by a multifluid manometer. The tank is located on a mountain at an altitude of 1400 m where the atmospheric pressure is 85.6 kPa. Determine the air pressure in the tank if h1 is 0.1 m, h2 is 0.2 m, and h3 is 0.35 m.ā¦
Free body diagram can be applied upon a body while different forces are acting upon it and the body is at rest. True or Falso
Following is the equation of an RLC series circuit. if R=100?, L=10H and C= 0.025F. Solve this equation and find the values of s. s^2 + s(R/L) + 1/LC = 0 The values of s are: -4.18 and -95.83 The values of s are: 4.18 and 95.83 The values of s are: -0.418 and -9.583 The values of s are:ā¦
6. a) A proportional controller is used to control the height of water in a tank where the water level can vary from 0 to 4.0 m. The required height of the water is 3.5 m, and the controller is to close a valve fully when the water rises to 3.9 m and open it fully when the water falls to 3.1 m.ā¦
A vector can be divided by another vector and the final result would be a new vector.
Pound (lb) is the unit of
Study the information given in the information above and answer the questions that follow. 2.1 Calculate the volume in \( \mathrm{ml} \) of one can of cold drink, rounded to the nearest whole number. 2.2 Determine the height of the cooler bag, rounded to the nearest whole number. 2.3 Determineā¦
Question 36 (5 points) The equation for the following straight line is:
A quadratic equation has the power of two as the highest power and it has two roots. The two roots may be equal. TRUE OR FALSE
A suspended box of 20kg is shown in the figure below. What would be the value of tension, T?
A linear trajectory is planned for a robot to pick up a part in a manufacturing process. Determine the equation of the velocity (v) for the following time zone: 2 ā¤ t ā¤ 3 s (see the figure given below). Here the a is the slope of the trajectory, and it is also known as acceleration of theā¦
WHAT IS THE WEIGHT OF THIS PICTURE FRAME
Q8. A car travels along a straight road \( 100 \mathrm{~m} \) east then \( 50 \mathrm{~m} \) north then it takes left turn and moves \( 200 \mathrm{~m} \). Find distance and displacement of the car.
If the initial kinetic energy of a particle is equal to zero, then subsequent work done on it can be which of the following?
What are the values of magnitude (r) and angle (Īø) for these complex numbers in polar form? (5 + 4j)/(4 +5j)
Complex numbers can be added graphically or algebaically true or false
10e(jĻ) = 10
When a complex number is multiplied with its complex conjugate then the result becomes a more complex number.
A quadratic equation can be factored by the following method(s):
Tensile and compressive stress
Cramer's rule is one of the three basic trigonometric functions.
The velocity of a vehicle during braking is measured at two points in time as shown: (2s, 8m/s) (3s, 6m/s) Find the equation of the line v(t) = v0 + at
The energy dissipated by a resistor varies with time t in s according to the quadratic equation W = 3t2 + 6t. Solve for t if when W = 45 joules.
When a complex number is divided by its conjugate then the final result becomes a new complex number.
Vectors can be expressed in both rectangular and polar coordinate systems.
A 100N force acts on a body at an angle of 400į¶± with the horizontal. Find both vertical (Fy) and horizontal (Fx) components of this force.
If two linear equations have the same slope then they are parallel.
A group of complex numbers can be added together and the final result can be represented with either a single complex number or a real number or an imaginary number.
What are the values of magnitude (r) and angle (Īø) for these complex numbers in polar form? (5+4j)(4+5j)
A racing car is designed to produce down-force as it moves. Air is directed beneath the chassis and between the wheels as shown in the simplified diagram below. The cross-sectional area at the very front of the car is A0 = 0.0330 m2 and at the centre, it is A1 = 0.0310 m2 . The car movesā¦
Two stacked boxes are sliding along an ice rink with an initial velocity of v0 to the right. You are trying to stop the boxes so you exert a force [(F)\vec]Y1 on the top box as indicated in the figure. The magnitude of the force that you exert is variable, and follows the equation: FY1=F0ā¦
An LRC series circuit has the total impedance, ZT = ZR + ZL + ZC where ZR = R, ZL = jĻL and ZC = 1/( jĻC). The values of R = 100 Ī©, L = 500mH, C=25ĀµF, and Ļ = 120Ļ rad/s. Determine the value of ZT in rectangular form.
Draw a FBD diagram for this
Kinematics is a subject which deals with forces acting upon a body when that body is at rest. true or false
The spike attaches the geophone firmly to the ground. The instant an earthquake occurs, the case and coil move upwards due to the Earthās movement. The magnet remains stationary due to its inertia. In 3.5 ms, the coil moves from a position where the flux density is 9.0 mT to a position whereā¦
Find the magnitude of the force F and its direction (theta) so that the particle P is in equilibrium with the two other forces shown in the diagram below.
A point \( \mathrm{P} \) is \( 40 \mathrm{~mm} \) above the HP. and \( 50 \mathrm{~mm} \) in front of VP. Draw also an auxiliary elevation of the point on an auxiliary vertical plane (AVP) making an angle of \( 30^{\circ} \) with the VP. [previous sheet]
given
sin(Ī± - 90) = - cos (Ī±) true or false
1. Vector 1 is 30 m/s at 300Ā° and Vector 2 is 80 m/s at 50Ā°. Direction at CCW due East. Calculate the resultant vector using Pythagorean theorem and/or trigonometry.
The distance between the second and sixth node in a standing wave is 45 cm (see picture). What is the wavelength?
sin(Ī± - 90) = - cos (Ī±)
Current, i flowing through an inductor is i = t2-8t. If current, i = 9A then what is the value of time, t?
An equation of straight line is also known as a quadratic equation. true or false
4)The force measured at points A, B, and C are 80KN, 200kN and 190kN, respectively Taking the nose (most front) of the aircraft as datum, calculate where does the location of the center of gravity (CG) of the aircraft lie on the x and y axis
John leaves the base camp and hikes 11 km NORTH, and then hikes 11 km WEST. Determine John's resulting displacement. Displacement is a vector quantity - it has both magnitude (length) and direction (Īø). The magnitude of this vector (displacement) is the distance between the starting point andā¦
The slope and intercept of this linear equation: y + x ā 9= 0 are: slope = 1 and intercept = -9
A vector cannot have negative direction.
Sin(Ī± + 90) = cos (Ī±)
Speed is a vector quantity and it has both direction and magnitude.
Leaming Iask 2: PROELEM-SOLVING. A marble is thrown horizontally from a tabletop with a velocity of \( 1.50 \mathrm{~m} / \mathrm{s} \). The marble falls 0.70 m away from the lable's edge. How high is the lab table? What is the marble's velocity just before it hits the flo or? A. Assimilationā¦
The figure below shows four gears connected in a simple gear train, with the number of teeth on each gear as shown in the table. Which gear has the lowest equivalent mass moment of inertia?
a shell is fired at a velocity of 300m/s at an angle of 30 above the horizontal A. how far does it go? B. what is the time of flight? C. Calculate the maximum altitude?
(1. S piece of wire of length l meter w cut mat iwo parts one of which is bent imo fhe slape of a circlo and the olin imto the shaye of a sthame. Wow shoude the wive be cut se that, thr - tn ?t 1 he
Please help me, thank you very much! Note: it is NOT necessary to carry out a full analysis using Buckingham's PI-Theorem
determine the momentum of a 60 kg half back moving eastward at 9m /s
Air at 25Ā°C and 1 atm is flowing over a long flat plate with a velocity of 18 m/s. The density and kinematic viscosity of air at 1 atm and 25Ā°C are Ļ = 1.184 kg/m3 and Ī½ = 1.562Ć10ā5 m2/s. Determine the distance in meter from the leading edge of the plate where the flow becomes turbulent .
1. The \( 100 \mathrm{~N} \) force is applied to the \( 100 \mathrm{~kg} \) block, which is stationary before the force is apphed Determine the magnitudt and ditiotion of the fraction force f emerted by the horizantal surface an the block
A clarinet works like a closed pipe, meaning it is open at one end and closed at the other. When a note is played on the clarinet, the sound consists of a fundamental note and a number of overtones. The diagram below shows a measured frequency distribution for sounds produced when playingā¦
A steel disc of outer radius r1 = 141.0 mm and thickness 25.4 mm is pivoted about its centre with low friction bearings and is free to rotate. It has a larger steel disc of outer radius r2 = 432 mm and thickness 76.2 mm fixed to it as shown in the diagram below, so that both discs rotateā¦
A steel disc of outer radius r1 = 176.0 mm and is pivoted about its centre with low friction bearings and is free to rotate. It has a larger steel gear with N1 = 138 teeth fixed to it, so that the disc and gear rotate together as one rigid body. A cable is wound around the disk and connectsā¦
A concentric compound gear train has four gears mounted on three shafts as shown below, with the teeth numbers as given. The output shaft is coupled to a conveyor belt pulley requiring a power input of 141.0 kW, while the input shaft is driven at is driven at 818.0 RPM. There is negligibleā¦
Solve for the volume of each side figures \[ V= \]
3. (a) Two horses \( A \) and \( B \) were tested according to the time (in seconds) to run a particular track with the following results: \( \begin{array}{lllllllll}\text { Horse A } & : & 28 & 30 & 32 & 33 & 33 & 29 & 34 \\ \text { Horse B } & : & 29 & 30 & 30 & 24 & 27 & 29 & \end{array}ā¦
Consider a cart on a spring which is critically damped. a) At time , it is sitting at its equilibrium position and is kicked in the positive direction with velocity . Find its position for all subsequent times and plot your answer. b) Do the same for the case that it is released from rest atā¦
The three cell box girder of Figure 1 Q.1 is subjected to a clockwise torque of 10,000 kNm. Sketch the shear flow diagram for the girder. Hence, determine the shear stress set up in each member and the angle of twist of the girder. Given: Modulus of Rigidity = 80 GN/m^2
Relationship between experimental value of modulus of rigidity and theoritical value
Fluids flowing around an aerofoil (wing) or keel (on a boat) produce a net force; Group of answer choices that is caused by the differing flow velocities on either side of zero none of the other answers directed parallel to the fluid flow
photo
Check photo
26.29 Compute the internal resistance of an electric generator which has an emf of ( 120 mathrm{~V} ) and a terminal voltage of ( 110 mathrm{~V} ) when supplying ( 20 mathrm{~A} ). Ans. ( 0.50 Omega )
The modal displacements of the crane shown can be found by solving the Gquilibrium conditions; \[ \left[\begin{array}{cccc} -113.8420 & -37.9473 & 120.9131 & 45.0184 \\ 37.9473 & 69.2176 & -37.9473 & -12.6491 \\ 170.4105 & 37.9473 & -113.8420 & -37.9473 \\ -37.9473 & -12.6491 & 45.0184 &ā¦
Initial velocity (V0) and acceleration (a) are constants. Linearise the following equation
\( \left[\begin{array}{rrr}5 & 0 & 1 \\ 0 & -2 & 0 \\ 1 & 0 & 5\end{array}\right] \)
In Figure Q3, there is a thin and homogeneous 10-kg semicircular disk with negligible thickmess and radius R = 1 m. A circular hole with radius of r = 0.3 m is centered at the centroid of the disk. A frictionless ball joint at point 0 solely holds the disk in the air. This ball joint is alsoā¦
Block A has a mass of 1.0 kg and block Bās mass is 4.0 kg. The two blocks rest on a frictionless surface and are pushed with a force of magnitude 10.0 N. a) What is the acceleration of the blocks? b) With what force does A push on B? B push on A?
A Pulley String B A block on a horizontal frictionless surface is attached to a hanging block by a rope over a pulley. A) Draw force diagrams for each block. B) State what motions may result for the blocks and give reasons for your answer. C) Derive a formula for the acceleration of theā¦
The Moonās orbit is roughly circular about the Earth at a distance of 384,400 km.
Free body diagram can be applied upon a body while different forces are acting upon it and the body is at rest. True or Falso
Following is the equation of an RLC series circuit. if R=100?, L=10H and C= 0.025F. Solve this equation and find the values of s. s^2 + s(R/L) + 1/LC = 0 The values of s are: -4.18 and -95.83 The values of s are: 4.18 and 95.83 The values of s are: -0.418 and -9.583 The values of s are:ā¦
A vector can be divided by another vector and the final result would be a new vector.
Pound (lb) is the unit of
Study the information given in the information above and answer the questions that follow. 2.1 Calculate the volume in \( \mathrm{ml} \) of one can of cold drink, rounded to the nearest whole number. 2.2 Determine the height of the cooler bag, rounded to the nearest whole number. 2.3 Determineā¦
Question 36 (5 points) The equation for the following straight line is:
A quadratic equation has the power of two as the highest power and it has two roots. The two roots may be equal. TRUE OR FALSE
A suspended box of 20kg is shown in the figure below. What would be the value of tension, T?
A linear trajectory is planned for a robot to pick up a part in a manufacturing process. Determine the equation of the velocity (v) for the following time zone: 2 ā¤ t ā¤ 3 s (see the figure given below). Here the a is the slope of the trajectory, and it is also known as acceleration of theā¦
What are the values of magnitude (r) and angle (Īø) for these complex numbers in polar form? (5 + 4j)/(4 +5j)
Complex numbers can be added graphically or algebaically true or false
10e(jĻ) = 10
When a complex number is multiplied with its complex conjugate then the result becomes a more complex number.
A quadratic equation can be factored by the following method(s):
Cramer's rule is one of the three basic trigonometric functions.
The velocity of a vehicle during braking is measured at two points in time as shown: (2s, 8m/s) (3s, 6m/s) Find the equation of the line v(t) = v0 + at
The energy dissipated by a resistor varies with time t in s according to the quadratic equation W = 3t2 + 6t. Solve for t if when W = 45 joules.
When a complex number is divided by its conjugate then the final result becomes a new complex number.
Vectors can be expressed in both rectangular and polar coordinate systems.
A 100N force acts on a body at an angle of 400į¶± with the horizontal. Find both vertical (Fy) and horizontal (Fx) components of this force.
If two linear equations have the same slope then they are parallel.
A group of complex numbers can be added together and the final result can be represented with either a single complex number or a real number or an imaginary number.
What are the values of magnitude (r) and angle (Īø) for these complex numbers in polar form? (5+4j)(4+5j)
An LRC series circuit has the total impedance, ZT = ZR + ZL + ZC where ZR = R, ZL = jĻL and ZC = 1/( jĻC). The values of R = 100 Ī©, L = 500mH, C=25ĀµF, and Ļ = 120Ļ rad/s. Determine the value of ZT in rectangular form.
Draw a FBD diagram for this
Kinematics is a subject which deals with forces acting upon a body when that body is at rest. true or false
Find the magnitude of the force F and its direction (theta) so that the particle P is in equilibrium with the two other forces shown in the diagram below.
sin(Ī± - 90) = - cos (Ī±) true or false
1. Vector 1 is 30 m/s at 300Ā° and Vector 2 is 80 m/s at 50Ā°. Direction at CCW due East. Calculate the resultant vector using Pythagorean theorem and/or trigonometry.
The distance between the second and sixth node in a standing wave is 45 cm (see picture). What is the wavelength?
sin(Ī± - 90) = - cos (Ī±)
Current, i flowing through an inductor is i = t2-8t. If current, i = 9A then what is the value of time, t?
An equation of straight line is also known as a quadratic equation. true or false
4)The force measured at points A, B, and C are 80KN, 200kN and 190kN, respectively Taking the nose (most front) of the aircraft as datum, calculate where does the location of the center of gravity (CG) of the aircraft lie on the x and y axis
John leaves the base camp and hikes 11 km NORTH, and then hikes 11 km WEST. Determine John's resulting displacement. Displacement is a vector quantity - it has both magnitude (length) and direction (Īø). The magnitude of this vector (displacement) is the distance between the starting point andā¦
The slope and intercept of this linear equation: y + x ā 9= 0 are: slope = 1 and intercept = -9
A vector cannot have negative direction.
Sin(Ī± + 90) = cos (Ī±)
Speed is a vector quantity and it has both direction and magnitude.
Air at 25Ā°C and 1 atm is flowing over a long flat plate with a velocity of 18 m/s. The density and kinematic viscosity of air at 1 atm and 25Ā°C are Ļ = 1.184 kg/m3 and Ī½ = 1.562Ć10ā5 m2/s. Determine the distance in meter from the leading edge of the plate where the flow becomes turbulent .
A steel disc of outer radius r1 = 141.0 mm and thickness 25.4 mm is pivoted about its centre with low friction bearings and is free to rotate. It has a larger steel disc of outer radius r2 = 432 mm and thickness 76.2 mm fixed to it as shown in the diagram below, so that both discs rotateā¦
The three cell box girder of Figure 1 Q.1 is subjected to a clockwise torque of 10,000 kNm. Sketch the shear flow diagram for the girder. Hence, determine the shear stress set up in each member and the angle of twist of the girder. Given: Modulus of Rigidity = 80 GN/m^2
Check photo
Initial velocity (V0) and acceleration (a) are constants. Linearise the following equation
Block A has a mass of 1.0 kg and block Bās mass is 4.0 kg. The two blocks rest on a frictionless surface and are pushed with a force of magnitude 10.0 N. a) What is the acceleration of the blocks? b) With what force does A push on B? B push on A?
A Pulley String B A block on a horizontal frictionless surface is attached to a hanging block by a rope over a pulley. A) Draw force diagrams for each block. B) State what motions may result for the blocks and give reasons for your answer. C) Derive a formula for the acceleration of theā¦