Question 1

A 10 kg object has a moment of inertia of 1.25 kg m2.If a torque of 2.5 N.m is applied to the object,the angular acceleration is

Accepted Answer

A)   10 rad/s2.
B)   8.0 rad/s2.
C)   6.0 rad/s2.
D)   4.0 rad/s2.
E)   2.0 rad/s2.

Question 2

Jim and Mary are carrying Bob on a horizontal stretcher.The uniform stretcher is 2.00 m long and weighs 80 N.Bob weighs 600 N.Bob's center of gravity is 80 cm from Mary.Jim and Mary are at the ends of the stretcher.The force that Jim is exerting to support the stretcher,with Bob on it,is

Accepted Answer

A)   280 N.
B)   320 N.
C)   380 N.
D)   400 N.
E)   520 N.

Question 3

A torque of 15.0 N.m is applied to a bolt.The bolt rotates through an angle of 360 degrees.The work done in turning the bolt is

Accepted Answer

A)   94.2 J.
B)   91.3 J.
C)   96.7 J.
D)   89.9 J.
E)   98.1 J.

Question 4

A pirate demands that his 75kg prisoner "walk the plank".The prisoner walks out on an 8.0m long,50kg horizontal board that juts out from the side of the pirate ship.If he walks out 7.5m from the place where the board is connected to the ship's side,what is the net torque applied to the board?

Accepted Answer

A)   5500 Nm
B)   7500Nm
C)   0 Nm
D)   2000 Nm
E)   Cannot determine

Question 5

A 10 kg solid cylinder (I = 1/2 MR2) with a radius of 30.0 cm is rotating about a vertical axis through its center.If the angular momentum is increasing at the rate of 25 kg m2/s,then what is the torque?

Accepted Answer

A)   70 N.m
B)   45 N.m
C)   37 N.m
D)   25 N.m
E)   12 N.m

Question 6

An ice dancer with her arms stretched out starts into a spin with an angular velocity of 1.00 rad/s.Her moment of inertia with her arms stretched out is 2.48 kg m2.What is her angular velocity when she pulls in her arms to make her moment of inertia 1.40 kg m2?

Accepted Answer

A)   2.67 rad/s
B)   2.45 rad/s
C)   2.03 rad/s
D)   1.90 rad/s
E)   1.77 rad/s

Question 7

A 2.00 kg mass is located at (4.00 m,0.00 m,0.00 m) and a 4.00 kg mass is located at (0.00 m,3.00 m,0.00 m) .If this system of masses rotated about the X-axis perpendicular to the Z-Y plane,then the moment of inertia of this system is

Accepted Answer

A)   23 kg m2.
B)   28 kg m2.
C)   33 kg m2.
D)   36 kg m2.
E)   41 kg m2.

Question 8

A 6.00 kg mass is located at (2.00 m,2.00 m,2.00 m) and a 5.00 kg mass is located at (-1.0 m,3.00 m,-2.00 m) .If this system of masses rotated about the X-axis perpendicular to the Z-Y plane,then the moment of inertia of this system is

Accepted Answer

A)   281 kg m2.
B)   167 kg m2.
C)   113 kg m2.
D)   85 kg m2.
E)   69 kg m2.

Question 9

A 6.00 kg mass is located at (2.00 m,2.00 m,2.00 m) and a 5.00 kg mass is located at (-1.0 m,3.00 m,-2.00 m) .If this system of masses rotated about the Y-axis perpendicular to the Z-X plane,then the moment of inertia of this system is

Accepted Answer

A)   73 kg m2.
B)   66 kg m2.
C)   60 kg m2.
D)   55 kg m2.
E)   48 kg m2.

Question 10

A 20.0 cm wrench is used to generate a torque at a bolt.A force of 50 N is applied at the end of the wrench at an angle of 60.0 degrees to the wrench.The torque generated at the bolt is

Accepted Answer

A)   4.9 N.m.
B)   5.7 N.m.
C)   6.0 N.m.
D)   7.5 N.m.
E)   8.7 N.m.

Question 11

A pole-vaulter holds out a 5.5kg,4.75m pole horizontally in front of him.Assuming the pole is uniform in construction,and that he holds the pole with one hand at the very end,and one hand 0.75m from the end,what is the torque applied by the Earth to the pole?

Accepted Answer

A)   40N
B)   88N
C)   Not enough information is given
D)   128N

Question 12

A 1.500 m long uniform beam of mass 30.00 kg is supported by a wire as shown in the figure.The beam makes an angle of 10.00 degrees with the horizontal and the wire makes and angle of 30.00 degrees with the beam.A 50.00 kg mass,m,is attached to the end of the beam.What is the tension in the wire?

Accepted Answer

A)   2,034 N
B)   1,855 N
C)   1,435 N
D)   1,255 N
E)   1,035 N

Question 13

A 5.00 kg mass is located at (2.00 m,0.00 m,0.00 m) and a 3.00 kg mass is located at (0.00 m,4.00 m,0.00 m) .The center of gravity of the system of masses is

Accepted Answer

A)   (1.25 m,1.25 m,0) .
B)   (1.50 m,1.50 m,0) .
C)   (1.25 m,1.50 m,0) .
D)   (1.50 m,1.25 m,0) .
E)   (1.00 m,1.00 m,0) .

Question 14

A 20.0 kg hollow cylinder (I = MR2) has a diameter of 50.0 cm.The cylinder is rolling down a hill with a velocity of 5.00 m/s.The rotational kinetic energy of the rolling cylinder is

Accepted Answer

A)   225 J.
B)   200 J.
C)   175 J.
D)   150 J.
E)   250 J.

Question 15

A grinding wheel has a mass of 250 kg and moment of inertia of 500 kg m2.A torque of 100 N.m is applied to the grinding wheel.If the wheel starts from rest,what is the angular momentum of the wheel after 5.0 seconds?

Accepted Answer

A)   650 kg m2/s
B)   500 kg m2/s
C)   450 kg m2/s
D)   300 kg m2/s
E)   250 kg m2/s

Question 16

A 4.00 kg hollow cylinder of radius 5.00 cm starts from rest and rolls without slipping down a 30.0 degree incline.The acceleration of the center of mass of the cylinder is

Accepted Answer

A)   2.45 m/s2.
B)   2.98 m/s2.
C)   3.35 m/s2.
D)   3.98 m/s2.
E)   4.05 m/s2.

Question 17

A fire fighter tightens the nut on the top of a fire hydrant using a large wrench.If she applies a force of 250N perpendicular to the wrench,at a point 0.75m from the axis of rotation of the nut,how much work does she do on the nut as she rotates it through 45 ∘^{\circ}∘ ?

Accepted Answer

A)   190 J
B)   150 J
C)   290 J
D)   130 J

Question 18

A mass m1 is connected by a light string that passes over a pulley of mass M to a mass m2 sliding on a frictionless horizontal surface as shown in the figure.There is no slippage between the string and the pulley.The pulley has a radius of 25.0 cm and a moment of inertia of 1/2 MR2.If m1 is 4.00 kg,m2 is 4.00 kg,and M is 4.00 kg,then what is the tension in the string attached to m2? 1 is connected by a light string that passes over a pulley of mass M to a mass m2 sliding on a frictionless horizontal surface as shown in the figure.There is no slippage between the string and the pulley.The pulley has a radius of 25.0 cm and a moment of inertia of 1/2 MR2.If m1 is 4.00 kg,m2 is 4.00 kg,and M is 4.00 kg,then what is the tension in the string attached to m2?   A)  10.4 N B)  12.6 N C)  15.7 N D)  17.6 N E)  19.8 N" class="answers-bank-image d-inline" rel="preload" >

Accepted Answer

A)   10.4 N
B)   12.6 N
C)   15.7 N
D)   17.6 N
E)   19.8 N

Question 19

A 2.00 kg mass is located at (4.00 m,0.00 m,0.00 m) and a 4.00 kg mass is located at (0.00 m,3.00 m,0.00 m) .The center of gravity of the system of masses is

Accepted Answer

A)   (1.33 m,2.00 m,0) .
B)   (1.33 m,1.00 m,0) .
C)   (1.50 m,1.33 m,0) .
D)   (2.00 m,1.33 m,0) .
E)   (1.33 m,1.50 m,0) .

Question 20

A 3.00 kg hollow sphere of radius 5.00 cm starts from rest and rolls without slipping down a 15.0 degree incline.If the length of the incline is 100 cm,then the velocity of the center of mass of the hollow sphere at the bottom of the incline is

Accepted Answer

A)   3.02 m/s.
B)   2.59 m/s.
C)   2.37 m/s.
D)   2.02 m/s.
E)   1.75 m/s.

Exam 8: Torque and Angular Momentum

A torque of 15.0 N.m is applied to a bolt.The bolt rotates through an angle of 360 degrees.The work done in turning the bolt is

Correct Answer
verified

A 6.00 kg mass is located at (2.00 m,2.00 m,2.00 m) and a 5.00 kg mass is located at (-1.0 m,3.00 m,-2.00 m) .If this system of masses rotated about the Y-axis perpendicular to the Z-X plane,then the moment of inertia of this system is

Correct Answer
verified

A fire fighter tightens the nut on the top of a fire hydrant using a large wrench.If she applies a force of 250N perpendicular to the wrench,at a point 0.75m from the axis of rotation of the nut,how much work does she do on the nut as she rotates it through 45 $^{\circ}$ ?

Correct Answer
verified

A 2.00 kg mass is located at (4.00 m,0.00 m,0.00 m) and a 4.00 kg mass is located at (0.00 m,3.00 m,0.00 m) .If this system of masses rotated about the X-axis perpendicular to the Z-Y plane,then the moment of inertia of this system is

Correct Answer
verified

A 20.0 cm wrench is used to generate a torque at a bolt.A force of 50 N is applied at the end of the wrench at an angle of 60.0 degrees to the wrench.The torque generated at the bolt is

Correct Answer
verified

A pirate demands that his 75kg prisoner "walk the plank".The prisoner walks out on an 8.0m long,50kg horizontal board that juts out from the side of the pirate ship.If he walks out 7.5m from the place where the board is connected to the ship's side,what is the net torque applied to the board?

Correct Answer
verified

A 4.00 kg hollow cylinder of radius 5.00 cm starts from rest and rolls without slipping down a 30.0 degree incline.The acceleration of the center of mass of the cylinder is

Correct Answer
verified

A grinding wheel has a mass of 250 kg and moment of inertia of 500 kg m².A torque of 100 N.m is applied to the grinding wheel.If the wheel starts from rest,what is the angular momentum of the wheel after 5.0 seconds?

Correct Answer
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A 2.00 kg mass is located at (4.00 m,0.00 m,0.00 m) and a 4.00 kg mass is located at (0.00 m,3.00 m,0.00 m) .The center of gravity of the system of masses is

Correct Answer
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Jim and Mary are carrying Bob on a horizontal stretcher.The uniform stretcher is 2.00 m long and weighs 80 N.Bob weighs 600 N.Bob's center of gravity is 80 cm from Mary.Jim and Mary are at the ends of the stretcher.The force that Jim is exerting to support the stretcher,with Bob on it,is

Correct Answer
verified

A pole-vaulter holds out a 5.5kg,4.75m pole horizontally in front of him.Assuming the pole is uniform in construction,and that he holds the pole with one hand at the very end,and one hand 0.75m from the end,what is the torque applied by the Earth to the pole?

Correct Answer
verified

Correct Answer
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A 10 kg object has a moment of inertia of 1.25 kg m².If a torque of 2.5 N.m is applied to the object,the angular acceleration is

Correct Answer
verified

A 3.00 kg hollow sphere of radius 5.00 cm starts from rest and rolls without slipping down a 15.0 degree incline.If the length of the incline is 100 cm,then the velocity of the center of mass of the hollow sphere at the bottom of the incline is

Correct Answer
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A 6.00 kg mass is located at (2.00 m,2.00 m,2.00 m) and a 5.00 kg mass is located at (-1.0 m,3.00 m,-2.00 m) .If this system of masses rotated about the X-axis perpendicular to the Z-Y plane,then the moment of inertia of this system is

Correct Answer
verified

A 20.0 kg hollow cylinder (I = MR²) has a diameter of 50.0 cm.The cylinder is rolling down a hill with a velocity of 5.00 m/s.The rotational kinetic energy of the rolling cylinder is

Correct Answer
verified

A 1.500 m long uniform beam of mass 30.00 kg is supported by a wire as shown in the figure.The beam makes an angle of 10.00 degrees with the horizontal and the wire makes and angle of 30.00 degrees with the beam.A 50.00 kg mass,m,is attached to the end of the beam.What is the tension in the wire?

Correct Answer
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An ice dancer with her arms stretched out starts into a spin with an angular velocity of 1.00 rad/s.Her moment of inertia with her arms stretched out is 2.48 kg m².What is her angular velocity when she pulls in her arms to make her moment of inertia 1.40 kg m²?

Correct Answer
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A 10 kg solid cylinder (I = 1/2 MR²) with a radius of 30.0 cm is rotating about a vertical axis through its center.If the angular momentum is increasing at the rate of 25 kg m²/s,then what is the torque?

Correct Answer
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A 5.00 kg mass is located at (2.00 m,0.00 m,0.00 m) and a 3.00 kg mass is located at (0.00 m,4.00 m,0.00 m) .The center of gravity of the system of masses is

Correct Answer
verified

Exam 8: Torque and Angular Momentum

A torque of 15.0 N.m is applied to a bolt.The bolt rotates through an angle of 360 degrees.The work done in turning the bolt is

Correct AnswerverifiedShow Answer

A 6.00 kg mass is located at (2.00 m,2.00 m,2.00 m) and a 5.00 kg mass is located at (-1.0 m,3.00 m,-2.00 m) .If this system of masses rotated about the Y-axis perpendicular to the Z-X plane,then the moment of inertia of this system is

Correct AnswerverifiedShow Answer

A fire fighter tightens the nut on the top of a fire hydrant using a large wrench.If she applies a force of 250N perpendicular to the wrench,at a point 0.75m from the axis of rotation of the nut,how much work does she do on the nut as she rotates it through 45 ∘^{\circ}∘ ?

Correct AnswerverifiedShow Answer

A 2.00 kg mass is located at (4.00 m,0.00 m,0.00 m) and a 4.00 kg mass is located at (0.00 m,3.00 m,0.00 m) .If this system of masses rotated about the X-axis perpendicular to the Z-Y plane,then the moment of inertia of this system is

Correct AnswerverifiedShow Answer

A 20.0 cm wrench is used to generate a torque at a bolt.A force of 50 N is applied at the end of the wrench at an angle of 60.0 degrees to the wrench.The torque generated at the bolt is

Correct AnswerverifiedShow Answer

A pirate demands that his 75kg prisoner "walk the plank".The prisoner walks out on an 8.0m long,50kg horizontal board that juts out from the side of the pirate ship.If he walks out 7.5m from the place where the board is connected to the ship's side,what is the net torque applied to the board?

Correct AnswerverifiedShow Answer

A 4.00 kg hollow cylinder of radius 5.00 cm starts from rest and rolls without slipping down a 30.0 degree incline.The acceleration of the center of mass of the cylinder is

Correct AnswerverifiedShow Answer

A grinding wheel has a mass of 250 kg and moment of inertia of 500 kg m2.A torque of 100 N.m is applied to the grinding wheel.If the wheel starts from rest,what is the angular momentum of the wheel after 5.0 seconds?

Correct AnswerverifiedShow Answer

A 2.00 kg mass is located at (4.00 m,0.00 m,0.00 m) and a 4.00 kg mass is located at (0.00 m,3.00 m,0.00 m) .The center of gravity of the system of masses is

Correct AnswerverifiedShow Answer

Jim and Mary are carrying Bob on a horizontal stretcher.The uniform stretcher is 2.00 m long and weighs 80 N.Bob weighs 600 N.Bob's center of gravity is 80 cm from Mary.Jim and Mary are at the ends of the stretcher.The force that Jim is exerting to support the stretcher,with Bob on it,is

Correct AnswerverifiedShow Answer

A pole-vaulter holds out a 5.5kg,4.75m pole horizontally in front of him.Assuming the pole is uniform in construction,and that he holds the pole with one hand at the very end,and one hand 0.75m from the end,what is the torque applied by the Earth to the pole?

Correct AnswerverifiedShow Answer

Correct AnswerverifiedShow Answer

A 10 kg object has a moment of inertia of 1.25 kg m2.If a torque of 2.5 N.m is applied to the object,the angular acceleration is

Correct AnswerverifiedShow Answer

A 3.00 kg hollow sphere of radius 5.00 cm starts from rest and rolls without slipping down a 15.0 degree incline.If the length of the incline is 100 cm,then the velocity of the center of mass of the hollow sphere at the bottom of the incline is

Correct AnswerverifiedShow Answer

A 6.00 kg mass is located at (2.00 m,2.00 m,2.00 m) and a 5.00 kg mass is located at (-1.0 m,3.00 m,-2.00 m) .If this system of masses rotated about the X-axis perpendicular to the Z-Y plane,then the moment of inertia of this system is

Correct AnswerverifiedShow Answer

A 20.0 kg hollow cylinder (I = MR2) has a diameter of 50.0 cm.The cylinder is rolling down a hill with a velocity of 5.00 m/s.The rotational kinetic energy of the rolling cylinder is

Correct AnswerverifiedShow Answer

A 1.500 m long uniform beam of mass 30.00 kg is supported by a wire as shown in the figure.The beam makes an angle of 10.00 degrees with the horizontal and the wire makes and angle of 30.00 degrees with the beam.A 50.00 kg mass,m,is attached to the end of the beam.What is the tension in the wire?

Correct AnswerverifiedShow Answer

An ice dancer with her arms stretched out starts into a spin with an angular velocity of 1.00 rad/s.Her moment of inertia with her arms stretched out is 2.48 kg m2.What is her angular velocity when she pulls in her arms to make her moment of inertia 1.40 kg m2?

Correct AnswerverifiedShow Answer

A 10 kg solid cylinder (I = 1/2 MR2) with a radius of 30.0 cm is rotating about a vertical axis through its center.If the angular momentum is increasing at the rate of 25 kg m2/s,then what is the torque?

Correct AnswerverifiedShow Answer

A 5.00 kg mass is located at (2.00 m,0.00 m,0.00 m) and a 3.00 kg mass is located at (0.00 m,4.00 m,0.00 m) .The center of gravity of the system of masses is

Correct AnswerverifiedShow Answer

Correct Answer
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Correct Answer
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A fire fighter tightens the nut on the top of a fire hydrant using a large wrench.If she applies a force of 250N perpendicular to the wrench,at a point 0.75m from the axis of rotation of the nut,how much work does she do on the nut as she rotates it through 45 $^{\circ}$ ?

Correct Answer
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Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

A grinding wheel has a mass of 250 kg and moment of inertia of 500 kg m².A torque of 100 N.m is applied to the grinding wheel.If the wheel starts from rest,what is the angular momentum of the wheel after 5.0 seconds?

Correct Answer
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Correct Answer
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Correct Answer
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Correct Answer
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Correct Answer
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A 10 kg object has a moment of inertia of 1.25 kg m².If a torque of 2.5 N.m is applied to the object,the angular acceleration is

Correct Answer
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Correct Answer
verified

Correct Answer
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A 20.0 kg hollow cylinder (I = MR²) has a diameter of 50.0 cm.The cylinder is rolling down a hill with a velocity of 5.00 m/s.The rotational kinetic energy of the rolling cylinder is

Correct Answer
verified

Correct Answer
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An ice dancer with her arms stretched out starts into a spin with an angular velocity of 1.00 rad/s.Her moment of inertia with her arms stretched out is 2.48 kg m².What is her angular velocity when she pulls in her arms to make her moment of inertia 1.40 kg m²?

Correct Answer
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A 10 kg solid cylinder (I = 1/2 MR²) with a radius of 30.0 cm is rotating about a vertical axis through its center.If the angular momentum is increasing at the rate of 25 kg m²/s,then what is the torque?

Correct Answer
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Correct Answer
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