A 66-N. m torque acts on a wheel with a moment of inertia 175 kg .m2.If the wheel starts from rest, how long will it take the wheel to make one revolution?

A) 0.37 s B) 0.71 s C) 2.4 s D) 5.8 s E) 6.9 s A) 0.37 s B) 0.71 s C) 2.4 s D) 5.8 s E) 6.9 s

A string is wrapped around a pulley of radius 0.20 m and moment of inertia 0.40 kg .m2.The string is pulled with a force of 28 N.What is the magnitude of the resulting angular acceleration of the pulley?

A) 22 rad/s2 B) 14 rad/s2 C) 68 rad/s2 D) 0.55 rad/s2 E) 8.0 rad/s2 A) 22 rad/s2 B) 14 rad/s2 C) 68 rad/s2 D) 0.55 rad/s2 E) 8.0 rad/s2

Exam 9: Rotational Dynamics

A wrench is used to tighten a nut as shown in the figure.A 12-N force is applied 7.0 cm from the axis of rotation.What is the magnitude of the torque due to the applied force?

(Multiple Choice)

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Question 21

A 66-N. m torque acts on a wheel with a moment of inertia 175 kg .m².If the wheel starts from rest, how long will it take the wheel to make one revolution?

(Multiple Choice)

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Question 22

A massless frame in the shape of a square with 2-m sides has a 1-kg ball at each corner.What is the moment of inertia of the four balls about an axis through the corner marked O and perpendicular to the plane of the paper?

(Multiple Choice)

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Question 23

A horizontal, 10-m plank weighs 100 N.It rests on two supports that are placed 1.0 m from each end as shown in the figure.How close to one end can an 800-N person stand without causing the plank to tip?

(Multiple Choice)

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Question 24

In the drawing shown, the large wheel has a radius of 7.1 m.A rope is wrapped around the edge of the wheel and a 7.6 kg-box hangs from the rope.A smaller disk of radius 1.38 m is attached to the wheel.A rope is wrapped around the edge of the disk as shown.An axis of rotation passes through the center of the wheel-disk system.What is the value of the mass M that will prevent the wheel from rotating?

(Multiple Choice)

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Question 25

A string is wrapped around a pulley of radius 0.20 m and moment of inertia 0.40 kg .m².The string is pulled with a force of 28 N.What is the magnitude of the resulting angular acceleration of the pulley?

(Multiple Choice)

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Question 26

A 2.0-kg solid cylinder of radius 0.5 m rotates at a rate of 40 rad/s about its cylindrical axis.What power is required to bring the cylinder to rest in 10 s?

(Multiple Choice)

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Question 27

A 3.0-kg ball and a 1.0-kg ball are placed at opposite ends of a massless beam so that the system is in equilibrium as shown.Note: The drawing is not drawn to scale.What is the value of the ratio of the lengths, b/a?

(Multiple Choice)

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Question 28

Two skaters, each of mass 40 kg, approach each other along parallel paths that are separated by a distance of 2 m.Both skaters have a speed of 10 m/s.The first skater carries a 2-m pole that may be considered massless.As he passes the pole, the second skater catches hold of the end.The two skaters then go around in a circle about the center of the pole. -What is their combined angular momentum about the center of the pole?

(Multiple Choice)

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Question 29

An 80-kg man balances the boy on a teeter-totter as shown.Note: Ignore the weight of the board. -What is the approximate mass of the boy?

(Multiple Choice)

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Question 30

A 45-N brick is suspended by a light string from a 2.0-kg pulley.The brick is released from rest and falls to the floor below as the pulley rotates through 5.0 rad.The pulley may be considered a solid disk of radius 1.5 m.What is the angular speed of the pulley?

(Multiple Choice)

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Question 31

Which one of the following statements concerning the moment of inertia I is false?

(Multiple Choice)

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Question 32

Three objects are positioned along the x axis as follows: 4.4 kg at x = + 1.1 m, 3.7 kg at x = -0.80 m, and 2.9 kg at x = -1.6 m.The acceleration due to gravity is the same everywhere.What is the distance from the location of the center of gravity to the location of the center of mass for this system?

(Multiple Choice)

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Question 33

Complete the following statement: When a net torque is applied to a rigid object, it always produces a

(Multiple Choice)

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Question 34

Two uniform solid spheres, A and B have the same mass.The radius of sphere B is twice that of sphere A.The axis of rotation passes through each sphere.Which one of the following statements concerning the moments of inertia of these spheres is true?

(Multiple Choice)

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Question 35

A rider on a motorcycle that has a mass of 195 kg is traveling with a speed of 24 m/s.Each of the two wheels of the motorcycle has a radius of 0.29 m and a moment of inertia of 0.46 kg .m².What is the approximate total rotational kinetic energy of the wheels?

(Multiple Choice)

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Question 36

A string is wrapped around a pulley of radius 0.05 m and moment of inertia 0.2 kg .m².If the string is pulled with a force , the resulting angular acceleration of the pulley is 2 rad/s².Determine the magnitude of the force .

(Multiple Choice)

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Question 37

9-3 A 2.0-kg hoop rolls without slipping on a horizontal surface so that its center proceeds to the right with a constant linear speed of 6.0 m/s. -A compact disc rotates about its center at constant angular speed.Which one of the following quantities is constant and non-zero for a dust particle near the edge of the disc?

(Multiple Choice)

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Question 38

Three objects are attached to a massless rigid rod that has an axis of rotation as shown.Assuming all of the mass of each object is located at the point shown for each, calculate the moment of inertia of this system.

(Multiple Choice)

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Question 39

A spinning star begins to collapse under its own gravitational pull.Which one of the following occurs as the star becomes smaller?

(Multiple Choice)

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Question 40

Showing 21 - 40 of 57

Exam 9: Rotational Dynamics

A wrench is used to tighten a nut as shown in the figure.A 12-N force is applied 7.0 cm from the axis of rotation.What is the magnitude of the torque due to the applied force?

A 66-N. m torque acts on a wheel with a moment of inertia 175 kg .m2.If the wheel starts from rest, how long will it take the wheel to make one revolution?

A massless frame in the shape of a square with 2-m sides has a 1-kg ball at each corner.What is the moment of inertia of the four balls about an axis through the corner marked O and perpendicular to the plane of the paper?

A horizontal, 10-m plank weighs 100 N.It rests on two supports that are placed 1.0 m from each end as shown in the figure.How close to one end can an 800-N person stand without causing the plank to tip?

A string is wrapped around a pulley of radius 0.20 m and moment of inertia 0.40 kg .m2.The string is pulled with a force of 28 N.What is the magnitude of the resulting angular acceleration of the pulley?

A 2.0-kg solid cylinder of radius 0.5 m rotates at a rate of 40 rad/s about its cylindrical axis.What power is required to bring the cylinder to rest in 10 s?

A 3.0-kg ball and a 1.0-kg ball are placed at opposite ends of a massless beam so that the system is in equilibrium as shown.Note: The drawing is not drawn to scale.What is the value of the ratio of the lengths, b/a?

An 80-kg man balances the boy on a teeter-totter as shown.Note: Ignore the weight of the board. -What is the approximate mass of the boy?

A 45-N brick is suspended by a light string from a 2.0-kg pulley.The brick is released from rest and falls to the floor below as the pulley rotates through 5.0 rad.The pulley may be considered a solid disk of radius 1.5 m.What is the angular speed of the pulley?

Which one of the following statements concerning the moment of inertia I is false?

Complete the following statement: When a net torque is applied to a rigid object, it always produces a

Two uniform solid spheres, A and B have the same mass.The radius of sphere B is twice that of sphere A.The axis of rotation passes through each sphere.Which one of the following statements concerning the moments of inertia of these spheres is true?

A rider on a motorcycle that has a mass of 195 kg is traveling with a speed of 24 m/s.Each of the two wheels of the motorcycle has a radius of 0.29 m and a moment of inertia of 0.46 kg .m2.What is the approximate total rotational kinetic energy of the wheels?

A string is wrapped around a pulley of radius 0.05 m and moment of inertia 0.2 kg .m2.If the string is pulled with a force , the resulting angular acceleration of the pulley is 2 rad/s2.Determine the magnitude of the force .

Three objects are attached to a massless rigid rod that has an axis of rotation as shown.Assuming all of the mass of each object is located at the point shown for each, calculate the moment of inertia of this system.

A spinning star begins to collapse under its own gravitational pull.Which one of the following occurs as the star becomes smaller?

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A 66-N. m torque acts on a wheel with a moment of inertia 175 kg .m².If the wheel starts from rest, how long will it take the wheel to make one revolution?

A string is wrapped around a pulley of radius 0.20 m and moment of inertia 0.40 kg .m².The string is pulled with a force of 28 N.What is the magnitude of the resulting angular acceleration of the pulley?

A rider on a motorcycle that has a mass of 195 kg is traveling with a speed of 24 m/s.Each of the two wheels of the motorcycle has a radius of 0.29 m and a moment of inertia of 0.46 kg .m².What is the approximate total rotational kinetic energy of the wheels?

A string is wrapped around a pulley of radius 0.05 m and moment of inertia 0.2 kg .m².If the string is pulled with a force , the resulting angular acceleration of the pulley is 2 rad/s².Determine the magnitude of the force .