Question 1

A wheel rotates through an angle of 13.8 rad as it slows down uniformly from 22.0 rad/s to 13.5 rad/s.What is the magnitude of the angular acceleration of the wheel?

Accepted Answer

A)  0.616 rad/s2
B)  5.45 rad/s2
C)  111 rad/s2
D)  22.5 rad/s2
E)  10.9 rad/s2F) A) and E)
G) C) and D)

Question 2

A uniform ball is released from rest on a no-slip surface,as shown in the figure.After reaching its lowest point,the ball begins to rise again,this time on a frictionless surface.When the ball reaches its maximum height on the frictionless surface,it is

Accepted Answer

A)  higher than when it was released.
B)  lower than when it was released.
C)  at the same height from which it was released.
D)  It is impossible to tell without knowing the mass of the ball.
E)  It is impossible to tell without knowing the radius of the ball.F) C) and D)
G) C) and E)

Question 3

A machinist turns on the power on to a grinding wheel at time t = 0 s.The wheel accelerates uniformly from rest for 10 s and reaches the operating angular speed of 
The wheel is run at that angular velocity for 30 s,and then power is shut off.The wheel slows down uniformly at 
Until the wheel stops.What is the total number of revolutions made by the wheel in this situation?

Accepted Answer

A)  510
B)  280
C)  320
D)  470
E)  750F) C) and D)
G) A) and E)

Question 4

A wheel having a moment of inertia of 5.00 kg ∙ m2 starts from rest and accelerates under a constant torque of 3.00 N ∙ m for 8.00 s.What is the wheel's rotational kinetic energy at the end of 8.00 s?

Accepted Answer

A)  57.6 J
B)  64.0 J
C)  78.8 J
D)  122 JE) None of the above
F) B) and D)

Question 5

Suppose a solid uniform sphere of mass M and radius R rolls without slipping down an inclined plane starting from rest.The angular velocity of the sphere at the bottom of the incline depends on

Accepted Answer

A)  the mass of the sphere.
B)  the radius of the sphere.
C)  both the mass and the radius of the sphere.
D)  neither the mass nor the radius of the sphere.E) A) and D)
F) All of the above

Question 6

A solid uniform disk of diameter 3.20 m and mass 42 kg rolls without slipping to the bottom of a hill,starting from rest.If the angular speed of the disk is 4.27 rad/s at the bottom,how high did it start on the hill?

Accepted Answer

A)  3.57 m
B)  2.68 m
C)  3.14 m
D)  4.28 mE) C) and D)
F) A) and B)

Question 7

As shown in the figure,two blocks are connected by a light string that passes over a frictionless pulley having a moment of inertia of 0.0040 kg ∙ m2 and diameter 10 cm.The coefficient of kinetic friction between the table top and the upper block is 0.30.The blocks are released from rest,and the string does not slip on the pulley.How fast is the upper block moving when the lower one has fallen 0.60 m? 2 and diameter 10 cm.The coefficient of kinetic friction between the table top and the upper block is 0.30.The blocks are released from rest,and the string does not slip on the pulley.How fast is the upper block moving when the lower one has fallen 0.60 m?   A) 1.2 m/s B) 5.4 m/s C) 3.2 m/s D) 2.0 m/s E) 1.4 m/s" class="answers-bank-image d-inline" rel="preload" >

Accepted Answer

A)  1.2 m/s
B)  5.4 m/s
C)  3.2 m/s
D)  2.0 m/s
E)  1.4 m/sF) A) and B)
G) All of the above

Question 8

A solid uniform sphere is rolling without slipping along a horizontal surface with a speed of 5.5 m/s when it starts up a ramp that makes an angle of 25° with the horizontal.What is the speed of the sphere after it has rolled 3.0 m up as measured along the surface of the ramp?

Accepted Answer

A)  4.0 m/s
B)  8.0 m/s
C)  1.9 m/s
D)  2.2 m/s
E)  3.5 m/sF) B) and C)
G) A) and E)

Question 9

When a rigid object rotates about a fixed axis,what is true about all the points in the object? (There could be more than one correct choice. )

Accepted Answer

A)  They all have the same angular speed.
B)  They all have the same tangential speed.
C)  They all have the same angular acceleration.
D)  They all have the same tangential acceleration.
E)  They all have the same radial acceleration.F) A) and B)
G) A) and C)

Question 10

A string is wrapped tightly around a fixed pulley that has a moment of inertia of 0.0352 kg ∙ m2 and a radius of 12.5 cm.A mass of 423 g is attached to the free end of the string.With the string vertical and taut,the mass is gently released so it can descend under the influence of gravity.As the mass descends,the string unwinds and causes the pulley to rotate,but does not slip on the pulley.What is the speed of the mass after it has fallen through 1.25 m?

Accepted Answer

A)  2.00 m/s
B)  2.28 m/s
C)  1.97 m/s
D)  3.94 m/s
E)  4.95 m/sF) A) and B)
G) A) and E)

Question 11

A solid uniform cylinder is rolling without slipping.What fraction of its kinetic energy is rotational?

Accepted Answer

A)  1/3
B)  2/3
C)  1/2
D)  1/4
E)  3/4F) B) and D)
G) A) and D)

Question 12

A hoop is rolling without slipping along a horizontal surface with a forward speed of 5.50 m/s when it starts up a ramp that makes an angle of 25.0° with the horizontal.What is the speed of the hoop after it has rolled 3.00 m up as measured along the surface of the ramp?

Accepted Answer

A)  4.22 m/s
B)  1.91 m/s
C)  2.06 m/s
D)  3.79 m/s
E)  8.02 m/sF) B) and E)
G) D) and E)

Question 13

Suppose a uniform solid sphere of mass M and radius R rolls without slipping down an inclined plane starting from rest.The linear velocity of the sphere at the bottom of the incline depends on

Accepted Answer

A)  the mass of the sphere.
B)  the radius of the sphere.
C)  both the mass and the radius of the sphere.
D)  neither the mass nor the radius of the sphere.E) B) and D)
F) B) and C)

Question 14

A pencil that is 15.7 cm long is released from a vertical position with the eraser end resting on a table.The eraser does not slip as it tips over.Treat the pencil like a uniform rod.What is the angular speed of the pencil just before it hits the table?

Accepted Answer

A)  13.7 rad/s
B)  7.23 rad/s
C)  3.70 rad/s
D)  24.5 rad/s
E)  16.8 rad/sF) A) and E)
G) C) and D)

Question 15

A solid sphere and a solid cylinder,both uniform and of the same mass and radius,roll without slipping at the same forward speed.It is correct to say that the total kinetic energy of the solid sphere is

Accepted Answer

A)  more than the total kinetic energy of the cylinder.
B)  less than the total kinetic energy of the cylinder.
C)  equal to the total kinetic energy of the cylinder.D) A) and B)
E) A) and C)

Question 16

What is the kinetic energy of a 120-cm thin uniform rod with a mass of 450 g that is rotating about its center at 3.60 rad/s?

Accepted Answer

A)  0.350 J
B)  4.20 J
C)  0.700 J
D)  0.960 J
E)  2.10 JF) A) and C)
G) A) and D)

Question 17

A hoop with a mass of 2.75 kg is rolling without slipping along a horizontal surface with a speed of 4.5 m/s when it starts down a ramp that makes an angle of 25° below the horizontal.What is the forward speed of the hoop after it has rolled 3.0 m down as measured along the surface of the ramp?

Accepted Answer

A)  4.9 m/s
B)  6.3 m/s
C)  5.2 m/s
D)  5.7 m/s
E)  8.0 m/sF) D) and E)
G) C) and D)

Question 18

A uniform solid disk is released from rest and rolls without slipping down an inclined plane that makes an angle of 25° with the horizontal.What is the forward speed of the disk after it has rolled 3.0 m,measured along the plane?

Accepted Answer

A)  2.0 m/s
B)  3.5 m/s
C)  4.1 m/s
D)  5.7 m/s
E)  6.3 m/sF) C) and E)
G) B) and E)

Question 19

A solid sphere,solid cylinder,and a hollow pipe all have equal masses and radii.If the three of them are released simultaneously at the top of an inclined plane and do not slip,which one will reach the bottom first?

Accepted Answer

A)  sphere
B)  pipe
C)  cylinder
D)  The pipe and cylinder arrive together before the sphere.
E)  They all reach the bottom at the same time.F) A) and C)
G) A) and E)

Question 20

Through how many degrees does a 33 rpm turntable rotate in

Accepted Answer

A)  63°
B)  35°
C)  46°
D)  74°E) A) and B)
F) B) and D)

Exam 10: Rotational Kinematics and Energy

Correct Answer
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A solid uniform cylinder is rolling without slipping.What fraction of its kinetic energy is rotational?

Correct Answer
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Correct Answer
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A pencil that is 15.7 cm long is released from a vertical position with the eraser end resting on a table.The eraser does not slip as it tips over.Treat the pencil like a uniform rod.What is the angular speed of the pencil just before it hits the table?

Correct Answer
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Correct Answer
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A wheel rotates through an angle of 13.8 rad as it slows down uniformly from 22.0 rad/s to 13.5 rad/s.What is the magnitude of the angular acceleration of the wheel?

Correct Answer
verified

A solid uniform sphere is rolling without slipping along a horizontal surface with a speed of 5.5 m/s when it starts up a ramp that makes an angle of 25° with the horizontal.What is the speed of the sphere after it has rolled 3.0 m up as measured along the surface of the ramp?

Correct Answer
verified

A uniform solid disk is released from rest and rolls without slipping down an inclined plane that makes an angle of 25° with the horizontal.What is the forward speed of the disk after it has rolled 3.0 m,measured along the plane?

Correct Answer
verified

What is the kinetic energy of a 120-cm thin uniform rod with a mass of 450 g that is rotating about its center at 3.60 rad/s?

Correct Answer
verified

Suppose a solid uniform sphere of mass M and radius R rolls without slipping down an inclined plane starting from rest.The angular velocity of the sphere at the bottom of the incline depends on

Correct Answer
verified

When a rigid object rotates about a fixed axis,what is true about all the points in the object? (There could be more than one correct choice. )

Correct Answer
verified

A solid uniform disk of diameter 3.20 m and mass 42 kg rolls without slipping to the bottom of a hill,starting from rest.If the angular speed of the disk is 4.27 rad/s at the bottom,how high did it start on the hill?

Correct Answer
verified

A hoop with a mass of 2.75 kg is rolling without slipping along a horizontal surface with a speed of 4.5 m/s when it starts down a ramp that makes an angle of 25° below the horizontal.What is the forward speed of the hoop after it has rolled 3.0 m down as measured along the surface of the ramp?

Correct Answer
verified

A wheel having a moment of inertia of 5.00 kg ∙ m² starts from rest and accelerates under a constant torque of 3.00 N ∙ m for 8.00 s.What is the wheel's rotational kinetic energy at the end of 8.00 s?

Correct Answer
verified

Through how many degrees does a 33 rpm turntable rotate in

Correct Answer
verified

A solid sphere,solid cylinder,and a hollow pipe all have equal masses and radii.If the three of them are released simultaneously at the top of an inclined plane and do not slip,which one will reach the bottom first?

Correct Answer
verified

Suppose a uniform solid sphere of mass M and radius R rolls without slipping down an inclined plane starting from rest.The linear velocity of the sphere at the bottom of the incline depends on

Correct Answer
verified

A uniform ball is released from rest on a no-slip surface,as shown in the figure.After reaching its lowest point,the ball begins to rise again,this time on a frictionless surface.When the ball reaches its maximum height on the frictionless surface,it is

Correct Answer
verified

A solid sphere and a solid cylinder,both uniform and of the same mass and radius,roll without slipping at the same forward speed.It is correct to say that the total kinetic energy of the solid sphere is

Correct Answer
verified

A hoop is rolling without slipping along a horizontal surface with a forward speed of 5.50 m/s when it starts up a ramp that makes an angle of 25.0° with the horizontal.What is the speed of the hoop after it has rolled 3.00 m up as measured along the surface of the ramp?

Correct Answer
verified

Exam 10: Rotational Kinematics and Energy

Correct AnswerverifiedShow Answer

A solid uniform cylinder is rolling without slipping.What fraction of its kinetic energy is rotational?

Correct AnswerverifiedShow Answer

Correct AnswerverifiedShow Answer

A pencil that is 15.7 cm long is released from a vertical position with the eraser end resting on a table.The eraser does not slip as it tips over.Treat the pencil like a uniform rod.What is the angular speed of the pencil just before it hits the table?

Correct AnswerverifiedShow Answer

Correct AnswerverifiedShow Answer

A wheel rotates through an angle of 13.8 rad as it slows down uniformly from 22.0 rad/s to 13.5 rad/s.What is the magnitude of the angular acceleration of the wheel?

Correct AnswerverifiedShow Answer

A solid uniform sphere is rolling without slipping along a horizontal surface with a speed of 5.5 m/s when it starts up a ramp that makes an angle of 25° with the horizontal.What is the speed of the sphere after it has rolled 3.0 m up as measured along the surface of the ramp?

Correct AnswerverifiedShow Answer

A uniform solid disk is released from rest and rolls without slipping down an inclined plane that makes an angle of 25° with the horizontal.What is the forward speed of the disk after it has rolled 3.0 m,measured along the plane?

Correct AnswerverifiedShow Answer

What is the kinetic energy of a 120-cm thin uniform rod with a mass of 450 g that is rotating about its center at 3.60 rad/s?

Correct AnswerverifiedShow Answer

Suppose a solid uniform sphere of mass M and radius R rolls without slipping down an inclined plane starting from rest.The angular velocity of the sphere at the bottom of the incline depends on

Correct AnswerverifiedShow Answer

When a rigid object rotates about a fixed axis,what is true about all the points in the object? (There could be more than one correct choice. )

Correct AnswerverifiedShow Answer

A solid uniform disk of diameter 3.20 m and mass 42 kg rolls without slipping to the bottom of a hill,starting from rest.If the angular speed of the disk is 4.27 rad/s at the bottom,how high did it start on the hill?

Correct AnswerverifiedShow Answer

A hoop with a mass of 2.75 kg is rolling without slipping along a horizontal surface with a speed of 4.5 m/s when it starts down a ramp that makes an angle of 25° below the horizontal.What is the forward speed of the hoop after it has rolled 3.0 m down as measured along the surface of the ramp?

Correct AnswerverifiedShow Answer

A wheel having a moment of inertia of 5.00 kg ∙ m2 starts from rest and accelerates under a constant torque of 3.00 N ∙ m for 8.00 s.What is the wheel's rotational kinetic energy at the end of 8.00 s?

Correct AnswerverifiedShow Answer

Through how many degrees does a 33 rpm turntable rotate in

Correct AnswerverifiedShow Answer

A solid sphere,solid cylinder,and a hollow pipe all have equal masses and radii.If the three of them are released simultaneously at the top of an inclined plane and do not slip,which one will reach the bottom first?

Correct AnswerverifiedShow Answer

Suppose a uniform solid sphere of mass M and radius R rolls without slipping down an inclined plane starting from rest.The linear velocity of the sphere at the bottom of the incline depends on

Correct AnswerverifiedShow Answer

A uniform ball is released from rest on a no-slip surface,as shown in the figure.After reaching its lowest point,the ball begins to rise again,this time on a frictionless surface.When the ball reaches its maximum height on the frictionless surface,it is

Correct AnswerverifiedShow Answer

A solid sphere and a solid cylinder,both uniform and of the same mass and radius,roll without slipping at the same forward speed.It is correct to say that the total kinetic energy of the solid sphere is

Correct AnswerverifiedShow Answer

A hoop is rolling without slipping along a horizontal surface with a forward speed of 5.50 m/s when it starts up a ramp that makes an angle of 25.0° with the horizontal.What is the speed of the hoop after it has rolled 3.00 m up as measured along the surface of the ramp?

Correct AnswerverifiedShow Answer

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A wheel having a moment of inertia of 5.00 kg ∙ m² starts from rest and accelerates under a constant torque of 3.00 N ∙ m for 8.00 s.What is the wheel's rotational kinetic energy at the end of 8.00 s?

Correct Answer
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