Question 1

A uniform rod is 2.0 m long.The rod is pivoted about a horizontal,frictionless pin through one end.The rod is released from rest at an angle of 30° above the horizontal.What is the angular acceleration of the rod at the instant it is released?

Accepted Answer

A)  4.7 rad/s2
B)  6.9 rad/s2
C)  6.4 rad/s2
D)  5.6 rad/s2
E)  4.2 rad/s2F) B) and E)
G) A) and E)

Question 2

A uniform solid sphere rolls without slipping along a horizontal surface.What fraction of its total kinetic energy is in the form of rotational kinetic energy about the CM?

Accepted Answer

The answer of A uniform solid sphere rolls without slipping...

Question 3

A horizontal disk with a radius of 10 cm rotates about a vertical axis through its center.The disk starts from rest at t = 0 and has a constant angular acceleration of 2.1 rad/s2.At what value of t will the radial and tangential components of the linear acceleration of a point on the rim of the disk be equal in magnitude?

Accepted Answer

A)  0.55 s
B)  0.63 s
C)  0.69 s
D)  0.59 s
E)  0.47 sF) A) and B)
G) C) and D)

Question 4

A uniform meter stick is pivoted to rotate about a horizontal axis through the 25-cm mark on the stick.The stick is released from rest in a horizontal position.The moment of inertia of a uniform rod about an axis perpendicular to the rod and through the center of mass of the rod is given by (1/12) ML2.Determine the magnitude of the initial angular acceleration of the stick.

Accepted Answer

A)  17 rad/s2
B)  13 rad/s2
C)  15 rad/s2
D)  19 rad/s2
E)  23 rad/s2F) D) and E)
G) A) and B)

Question 5

A wheel (radius = 0.20 m) is mounted on a frictionless,horizontal axis.A light cord wrapped around the wheel supports a 0.50-kg object,as shown in the figure.When released from rest the object falls with a downward acceleration of 5.0 m/s2.What is the moment of inertia of the wheel? 2.What is the moment of inertia of the wheel?   A) 0.023 kg⋅m2 B) 0.027 kg⋅m2 C) 0.016 kg⋅m2 D) 0.019 kg⋅m2 E) 0.032 kg⋅m2 " class="answers-bank-image d-inline" rel="preload" >

Accepted Answer

A)  0.023 kg⋅m2
B)  0.027 kg⋅m2
C)  0.016 kg⋅m2
D)  0.019 kg⋅m2
E)  0.032 kg⋅m2F) A) and C)
G) A) and B)

Question 6

Exhibit 10-3
The graph below shows a plot of angular velocity in rad/s versus time in s from t = 0 s to t = 7 s.  Use this exhibit to answer the following question(s) .
-Refer to Exhibit 10-3.The angular position,θ,at t = 0 s is 3.0 rad,clockwise.The angular position,θ,at t = 7 s is

Accepted Answer

A)  27 rad,CW.
B)  27 rad,CCW.
C)  33 rad,CW.
D)  33 rad,CCW.
E)  36 rad,CCW.F) B) and D)
G) B) and C)

Question 7

The graph below shows a plot of angular acceleration in rad/s2 versus time from t = 0 s to t = 8 s.The change in angular velocity,Δω,during this 8-second period is 2 versus time from t = 0 s to t = 8 s.The change in angular velocity,Δω,during this 8-second period is   A)    ,CW. B)    ,CCW. C)    ,CW. D)    ,CCW. E)    ,CW. " class="answers-bank-image d-inline" rel="preload" >

Accepted Answer

A)   2 versus time from t = 0 s to t = 8 s.The change in angular velocity,Δω,during this 8-second period is   
A)     ,CW. 
B)     ,CCW. 
C)     ,CW. 
D)     ,CCW. 
E)     ,CW. " class="answers-bank-image d-inline" rel="preload" > ,CW.
B)   2 versus time from t = 0 s to t = 8 s.The change in angular velocity,Δω,during this 8-second period is   
A)     ,CW. 
B)     ,CCW. 
C)     ,CW. 
D)     ,CCW. 
E)     ,CW. " class="answers-bank-image d-inline" rel="preload" > ,CCW.
C)   2 versus time from t = 0 s to t = 8 s.The change in angular velocity,Δω,during this 8-second period is   
A)     ,CW. 
B)     ,CCW. 
C)     ,CW. 
D)     ,CCW. 
E)     ,CW. " class="answers-bank-image d-inline" rel="preload" > ,CW.
D)   2 versus time from t = 0 s to t = 8 s.The change in angular velocity,Δω,during this 8-second period is   
A)     ,CW. 
B)     ,CCW. 
C)     ,CW. 
D)     ,CCW. 
E)     ,CW. " class="answers-bank-image d-inline" rel="preload" > ,CCW.
E)   2 versus time from t = 0 s to t = 8 s.The change in angular velocity,Δω,during this 8-second period is   
A)     ,CW. 
B)     ,CCW. 
C)     ,CW. 
D)     ,CCW. 
E)     ,CW. " class="answers-bank-image d-inline" rel="preload" > ,CW.F) A) and B)
G) A) and C)

Question 8

Exhibit 10-2
The figure below shows a graph of angular velocity versus time for a man bicycling around a circular track. 2,in the period from t = 6 min to t = 8 min? A) 0 B)    C)    D)    E)    " class="answers-bank-image d-inline" rel="preload" > Use this exhibit to answer the following question(s) .
-Refer to Exhibit 10-2.What is his average angular acceleration,in rad/s2,in the period from t = 6 min to t = 8 min?

Accepted Answer

A)  0
B)   2,in the period from t = 6 min to t = 8 min? 
A)  0 
B)     
C)     
D)     
E)     " class="answers-bank-image d-inline" rel="preload" >
C)   2,in the period from t = 6 min to t = 8 min? 
A)  0 
B)     
C)     
D)     
E)     " class="answers-bank-image d-inline" rel="preload" >
D)   2,in the period from t = 6 min to t = 8 min? 
A)  0 
B)     
C)     
D)     
E)     " class="answers-bank-image d-inline" rel="preload" >
E)   2,in the period from t = 6 min to t = 8 min? 
A)  0 
B)     
C)     
D)     
E)     " class="answers-bank-image d-inline" rel="preload" >F) D) and E)
G) A) and C)

Question 9

Two particles (m1 = 0.20 kg,m2 = 0.30 kg) are positioned at the ends of a 2.0-m long rod of negligible mass.What is the moment of inertia of this rigid body about an axis perpendicular to the rod and through the center of mass?

Accepted Answer

A)  0.48 kg⋅m2
B)  0.50 kg⋅m2
C)  1.2 kg⋅m2
D)  0.80 kg⋅m2
E)  0.70 kg⋅m2F) B) and E)
G) B) and D)

Question 10

A small sphere attached to a light rigid rod rotates about an axis perpendicular to and fixed to the other end of the rod.Relative to the positive direction of the axis of rotation,the angular positions of the sphere are negative,its angular velocity is negative,and its angular acceleration is positive.The sphere is

Accepted Answer

A)  rotating clockwise and slowing down.
B)  rotating counterclockwise and slowing down.
C)  rotating clockwise and speeding up.
D)  rotating counterclockwise and speeding up.
E)  first rotating counterclockwise and then clockwise.F) All of the above
G) B) and C)

Question 11

A wheel rotating about a fixed axis has a constant angular acceleration of 4.0 rad/s2.In a 4.0-s interval the wheel turns through an angle of 80 radians.Assuming the wheel started from rest,how long had it been in motion at the start of the 4.0-s interval?

Accepted Answer

A)  2.5 s
B)  4.0 s
C)  3.5 s
D)  3.0 s
E)  4.5 sF) A) and D)
G) A) and C)

Question 12

When the sum of the external forces and the sum of the external torques on a body are both zero,we can conclude that

Accepted Answer

A)  the body is moving at constant velocity but is not rotating.
B)  the body is rotating at constant angular velocity but has no linear velocity.
C)  the body has neither linear nor angular velocity.
D)  the body may have constant linear or angular velocity,but not both simultaneously.
E)  the body may have constant linear or constant angular velocity,or both simultaneously.F) B) and D)
G) B) and E)

Question 13

A uniform rod of mass M = 1.2 kg and length L = 0.80 m,lying on a frictionless horizontal plane,is free to pivot about a vertical axis through one end,as shown.The moment of inertia of the rod about this axis is given by (1/3) ML2.If a force (F = 5.0 N,θ = 40°) acts as shown,what is the resulting angular acceleration about the pivot point? 2.If a force (F = 5.0 N,θ = 40°) acts as shown,what is the resulting angular acceleration about the pivot point?   A) 16 rad/s2 B) 12 rad/s2 C) 14 rad/s2 D) 10 rad/s2 E) 33 rad/s2 " class="answers-bank-image d-inline" rel="preload" >

Accepted Answer

A)  16 rad/s2
B)  12 rad/s2
C)  14 rad/s2
D)  10 rad/s2
E)  33 rad/s2F) None of the above
G) A) and B)

Question 14

Exhibit 10-1
The figure below shows a graph of angular velocity versus time for a woman bicycling around a circular track.  Use this exhibit to answer the following question(s) .
-The angular speed of the hour hand of a clock,in rad/min,is

Accepted Answer

A)    .
B)    .
C)    .
D)  π.
E)  120π.F) A) and C)
G) A) and E)

Question 15

A rod of length 1.00 m has a mass per unit length given by  
,where  
is in kg/m.The rod is placed on the x axis going from x = 0.00 m to x = 1.00 m.What is the moment of inertia of the rod in kg  
m2 about the y axis?

Accepted Answer

Question 16

The graphs below show angular velocity as a function of time.In which one is the magnitude of the angular acceleration constantly decreasing?

Accepted Answer

A)   
B)   
C)   
D)   
E)   F) B) and D)
G) C) and E)

Question 17

The graph below shows a plot of angular acceleration in rad/s2 versus time from t = 0 s to t = 8 s.The angular velocity at t = 0 s is 2 versus time from t = 0 s to t = 8 s.The angular velocity at t = 0 s is   ,CCW.The angular velocity,ω,at t = 8 s is   A)    ,CW. B)    ,CCW. C)    ,CW. D)    ,CCW. E)    ,CW. " class="answers-bank-image d-inline" rel="preload" >
,CCW.The angular velocity,ω,at t = 8 s is 2 versus time from t = 0 s to t = 8 s.The angular velocity at t = 0 s is   ,CCW.The angular velocity,ω,at t = 8 s is   A)    ,CW. B)    ,CCW. C)    ,CW. D)    ,CCW. E)    ,CW. " class="answers-bank-image d-inline" rel="preload" >

Accepted Answer

A)   2 versus time from t = 0 s to t = 8 s.The angular velocity at t = 0 s is   ,CCW.The angular velocity,ω,at t = 8 s is   
A)     ,CW. 
B)     ,CCW. 
C)     ,CW. 
D)     ,CCW. 
E)     ,CW. " class="answers-bank-image d-inline" rel="preload" > ,CW.
B)   2 versus time from t = 0 s to t = 8 s.The angular velocity at t = 0 s is   ,CCW.The angular velocity,ω,at t = 8 s is   
A)     ,CW. 
B)     ,CCW. 
C)     ,CW. 
D)     ,CCW. 
E)     ,CW. " class="answers-bank-image d-inline" rel="preload" > ,CCW.
C)   2 versus time from t = 0 s to t = 8 s.The angular velocity at t = 0 s is   ,CCW.The angular velocity,ω,at t = 8 s is   
A)     ,CW. 
B)     ,CCW. 
C)     ,CW. 
D)     ,CCW. 
E)     ,CW. " class="answers-bank-image d-inline" rel="preload" > ,CW.
D)   2 versus time from t = 0 s to t = 8 s.The angular velocity at t = 0 s is   ,CCW.The angular velocity,ω,at t = 8 s is   
A)     ,CW. 
B)     ,CCW. 
C)     ,CW. 
D)     ,CCW. 
E)     ,CW. " class="answers-bank-image d-inline" rel="preload" > ,CCW.
E)   2 versus time from t = 0 s to t = 8 s.The angular velocity at t = 0 s is   ,CCW.The angular velocity,ω,at t = 8 s is   
A)     ,CW. 
B)     ,CCW. 
C)     ,CW. 
D)     ,CCW. 
E)     ,CW. " class="answers-bank-image d-inline" rel="preload" > ,CW.F) A) and E)
G) C) and E)

Question 18

If M = 0.50 kg,L = 1.2 m,and the mass of each connecting rod shown is negligible,what is the moment of inertia about an axis perpendicular to the paper through the center of mass? Treat the mass as particles. 2 B) 2.8 kg⋅m2 C) 3.2 kg⋅m2 D) 2.3 kg⋅m2 E) 3.9 kg⋅m2 " class="answers-bank-image d-inline" rel="preload" >

Accepted Answer

A)  3.7 kg⋅m2
B)  2.8 kg⋅m2
C)  3.2 kg⋅m2
D)  2.3 kg⋅m2
E)  3.9 kg⋅m2F) B) and D)
G) C) and E)

Question 19

Exhibit 10-1
The figure below shows a graph of angular velocity versus time for a woman bicycling around a circular track.  Use this exhibit to answer the following question(s) .
-Refer to Exhibit 10-1.What is her angular displacement (in rad) in the first 12 minutes?

Accepted Answer

A)  0
B)  2π
C)  4π
D)  16π
E)  32πF) A) and D)
G) C) and D)

Question 20

Exhibit 10-1
The figure below shows a graph of angular velocity versus time for a woman bicycling around a circular track.  Use this exhibit to answer the following question(s) .
-The angular speed of the minute hand of a clock,in rad/s,is

Accepted Answer

A)    .
B)    .
C)    .
D)  π.
E)  120π.F) All of the above
G) A) and B)

Exam 10: Rotation of a Rigid Object About a Fixed Axis

Correct Answer
verified

If M = 0.50 kg,L = 1.2 m,and the mass of each connecting rod shown is negligible,what is the moment of inertia about an axis perpendicular to the paper through the center of mass? Treat the mass as particles.

Correct Answer
verified

Exhibit 10-1 The figure below shows a graph of angular velocity versus time for a woman bicycling around a circular track. Use this exhibit to answer the following question(s) . -The angular speed of the minute hand of a clock,in rad/s,is

Correct Answer
verified

Two particles (m₁ = 0.20 kg,m₂ = 0.30 kg) are positioned at the ends of a 2.0-m long rod of negligible mass.What is the moment of inertia of this rigid body about an axis perpendicular to the rod and through the center of mass?

Correct Answer
verified

A wheel (radius = 0.20 m) is mounted on a frictionless,horizontal axis.A light cord wrapped around the wheel supports a 0.50-kg object,as shown in the figure.When released from rest the object falls with a downward acceleration of 5.0 m/s².What is the moment of inertia of the wheel?

Correct Answer
verified

The graph below shows a plot of angular acceleration in rad/s² versus time from t = 0 s to t = 8 s.The change in angular velocity,Δω,during this 8-second period is

Correct Answer
verified

Correct Answer
verified

The graph below shows a plot of angular acceleration in rad/s² versus time from t = 0 s to t = 8 s.The angular velocity at t = 0 s is ,CCW.The angular velocity,ω,at t = 8 s is

Correct Answer
verified

When the sum of the external forces and the sum of the external torques on a body are both zero,we can conclude that

Correct Answer
verified

Exhibit 10-1 The figure below shows a graph of angular velocity versus time for a woman bicycling around a circular track. Use this exhibit to answer the following question(s) . -The angular speed of the hour hand of a clock,in rad/min,is

Correct Answer
verified

Correct Answer
verified

A wheel rotating about a fixed axis has a constant angular acceleration of 4.0 rad/s².In a 4.0-s interval the wheel turns through an angle of 80 radians.Assuming the wheel started from rest,how long had it been in motion at the start of the 4.0-s interval?

Correct Answer
verified

Exhibit 10-1 The figure below shows a graph of angular velocity versus time for a woman bicycling around a circular track. Use this exhibit to answer the following question(s) . -Refer to Exhibit 10-1.What is her angular displacement (in rad) in the first 12 minutes?

Correct Answer
verified

A uniform solid sphere rolls without slipping along a horizontal surface.What fraction of its total kinetic energy is in the form of rotational kinetic energy about the CM?

Correct Answer
verified

Exhibit 10-2 The figure below shows a graph of angular velocity versus time for a man bicycling around a circular track. Use this exhibit to answer the following question(s) . -Refer to Exhibit 10-2.What is his average angular acceleration,in rad/s²,in the period from t = 6 min to t = 8 min?

Correct Answer
verified

Correct Answer
verified

A rod of length 1.00 m has a mass per unit length given by ,where is in kg/m.The rod is placed on the x axis going from x = 0.00 m to x = 1.00 m.What is the moment of inertia of the rod in kg m² about the y axis?

Correct Answer
verified

A uniform rod is 2.0 m long.The rod is pivoted about a horizontal,frictionless pin through one end.The rod is released from rest at an angle of 30° above the horizontal.What is the angular acceleration of the rod at the instant it is released?

Correct Answer
verified

Exhibit 10-3 The graph below shows a plot of angular velocity in rad/s versus time in s from t = 0 s to t = 7 s. Use this exhibit to answer the following question(s) . -Refer to Exhibit 10-3.The angular position,θ,at t = 0 s is 3.0 rad,clockwise.The angular position,θ,at t = 7 s is

Correct Answer
verified

The graphs below show angular velocity as a function of time.In which one is the magnitude of the angular acceleration constantly decreasing?

Correct Answer
verified

Exam 10: Rotation of a Rigid Object About a Fixed Axis

Correct AnswerverifiedShow Answer

If M = 0.50 kg,L = 1.2 m,and the mass of each connecting rod shown is negligible,what is the moment of inertia about an axis perpendicular to the paper through the center of mass? Treat the mass as particles.

Correct AnswerverifiedShow Answer

Exhibit 10-1 The figure below shows a graph of angular velocity versus time for a woman bicycling around a circular track. Use this exhibit to answer the following question(s) . -The angular speed of the minute hand of a clock,in rad/s,is

Correct AnswerverifiedShow Answer

Two particles (m1 = 0.20 kg,m2 = 0.30 kg) are positioned at the ends of a 2.0-m long rod of negligible mass.What is the moment of inertia of this rigid body about an axis perpendicular to the rod and through the center of mass?

Correct AnswerverifiedShow Answer

A wheel (radius = 0.20 m) is mounted on a frictionless,horizontal axis.A light cord wrapped around the wheel supports a 0.50-kg object,as shown in the figure.When released from rest the object falls with a downward acceleration of 5.0 m/s2.What is the moment of inertia of the wheel?

Correct AnswerverifiedShow Answer

The graph below shows a plot of angular acceleration in rad/s2 versus time from t = 0 s to t = 8 s.The change in angular velocity,Δω,during this 8-second period is

Correct AnswerverifiedShow Answer

Correct AnswerverifiedShow Answer

The graph below shows a plot of angular acceleration in rad/s2 versus time from t = 0 s to t = 8 s.The angular velocity at t = 0 s is ,CCW.The angular velocity,ω,at t = 8 s is

Correct AnswerverifiedShow Answer

When the sum of the external forces and the sum of the external torques on a body are both zero,we can conclude that

Correct AnswerverifiedShow Answer

Exhibit 10-1 The figure below shows a graph of angular velocity versus time for a woman bicycling around a circular track. Use this exhibit to answer the following question(s) . -The angular speed of the hour hand of a clock,in rad/min,is

Correct AnswerverifiedShow Answer

Correct AnswerverifiedShow Answer

A wheel rotating about a fixed axis has a constant angular acceleration of 4.0 rad/s2.In a 4.0-s interval the wheel turns through an angle of 80 radians.Assuming the wheel started from rest,how long had it been in motion at the start of the 4.0-s interval?

Correct AnswerverifiedShow Answer

Exhibit 10-1 The figure below shows a graph of angular velocity versus time for a woman bicycling around a circular track. Use this exhibit to answer the following question(s) . -Refer to Exhibit 10-1.What is her angular displacement (in rad) in the first 12 minutes?

Correct AnswerverifiedShow Answer

A uniform solid sphere rolls without slipping along a horizontal surface.What fraction of its total kinetic energy is in the form of rotational kinetic energy about the CM?

Correct AnswerverifiedShow Answer

Exhibit 10-2 The figure below shows a graph of angular velocity versus time for a man bicycling around a circular track. Use this exhibit to answer the following question(s) . -Refer to Exhibit 10-2.What is his average angular acceleration,in rad/s2,in the period from t = 6 min to t = 8 min?

Correct AnswerverifiedShow Answer

Correct AnswerverifiedShow Answer

A rod of length 1.00 m has a mass per unit length given by ,where is in kg/m.The rod is placed on the x axis going from x = 0.00 m to x = 1.00 m.What is the moment of inertia of the rod in kg m2 about the y axis?

Correct AnswerverifiedShow Answer

A uniform rod is 2.0 m long.The rod is pivoted about a horizontal,frictionless pin through one end.The rod is released from rest at an angle of 30° above the horizontal.What is the angular acceleration of the rod at the instant it is released?

Correct AnswerverifiedShow Answer

Exhibit 10-3 The graph below shows a plot of angular velocity in rad/s versus time in s from t = 0 s to t = 7 s. Use this exhibit to answer the following question(s) . -Refer to Exhibit 10-3.The angular position,θ,at t = 0 s is 3.0 rad,clockwise.The angular position,θ,at t = 7 s is

Correct AnswerverifiedShow Answer

The graphs below show angular velocity as a function of time.In which one is the magnitude of the angular acceleration constantly decreasing?

Correct AnswerverifiedShow Answer

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

Two particles (m₁ = 0.20 kg,m₂ = 0.30 kg) are positioned at the ends of a 2.0-m long rod of negligible mass.What is the moment of inertia of this rigid body about an axis perpendicular to the rod and through the center of mass?

Correct Answer
verified

A wheel (radius = 0.20 m) is mounted on a frictionless,horizontal axis.A light cord wrapped around the wheel supports a 0.50-kg object,as shown in the figure.When released from rest the object falls with a downward acceleration of 5.0 m/s².What is the moment of inertia of the wheel?

Correct Answer
verified

The graph below shows a plot of angular acceleration in rad/s² versus time from t = 0 s to t = 8 s.The change in angular velocity,Δω,during this 8-second period is

Correct Answer
verified

Correct Answer
verified

The graph below shows a plot of angular acceleration in rad/s² versus time from t = 0 s to t = 8 s.The angular velocity at t = 0 s is ,CCW.The angular velocity,ω,at t = 8 s is

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

A wheel rotating about a fixed axis has a constant angular acceleration of 4.0 rad/s².In a 4.0-s interval the wheel turns through an angle of 80 radians.Assuming the wheel started from rest,how long had it been in motion at the start of the 4.0-s interval?

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

Exhibit 10-2 The figure below shows a graph of angular velocity versus time for a man bicycling around a circular track. Use this exhibit to answer the following question(s) . -Refer to Exhibit 10-2.What is his average angular acceleration,in rad/s²,in the period from t = 6 min to t = 8 min?

Correct Answer
verified

Correct Answer
verified

A rod of length 1.00 m has a mass per unit length given by ,where is in kg/m.The rod is placed on the x axis going from x = 0.00 m to x = 1.00 m.What is the moment of inertia of the rod in kg m² about the y axis?

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified