A 10 kg sphere with a 25.0 cm radius has a moment of inertia of 2/5 MR2. If a torque of 2.0 N•m is applied to the object, the angular acceleration is

A) 1.0 rad/s2. B) 2.0 rad/s2. C) 4.0 rad/s2. D) 6.0 rad/s2. E) 8.0 rad/s2. A) 1.0 rad/s2. B) 2.0 rad/s2. C) 4.0 rad/s2. D) 6.0 rad/s2. E) 8.0 rad/s2.

An 8.00 kg object has a moment of inertia of 1.50 kg m2. If a torque of 2.00 N•m is applied to the object, the angular acceleration is

A) 0.750 rad/s2. B) 1.00 rad/s2. C) 1.33 rad/s2. D) 2.01 rad/s2. E) 2.67 rad/s2. A) 0.750 rad/s2. B) 1.00 rad/s2. C) 1.33 rad/s2. D) 2.01 rad/s2. E) 2.67 rad/s2.

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 the increase in her rotational kinetic energy when she pulls in her arms to make her moment of inertia 1.40 kg m2?

A) 0.957 J B) 0.902 J C) 0.870 J D) 0.750 J E) 0.690 J A) 0.957 J B) 0.902 J C) 0.870 J D) 0.750 J E) 0.690 J

Exam 8: Torque and Angular Momentum

A mass m₁ is connected by a light string that passes over a pulley of mass M to a mass m₂ as shown in the figure. Both masses move vertically and there is no slippage between the string and the pulley. The pulley has a radius of 20.0 cm and a moment of inertia of ½ MR². If m₁ is 3.00 kg, m₂ is 6.00 kg and M is 4.00 kg, then what is the tension in the string that is attached to mass m₁?

(Multiple Choice)

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Question 41

An irregularly shaped object is attached to an axle so that it may be spun. If a torque of 250 N·m must be applied for 1.25 s in order to give it a rotation period of 0.10 s, what is its moment of inertia?

(Multiple Choice)

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Question 42

A mass m₁ is connected by a light string that passes over a pulley of mass M to a mass m₂ as shown in the figure. Both masses move vertically and there is no slippage between the string and the pulley. The pulley has a radius of 30.0 cm and a moment of inertia of MR². If m₁ is 4.00 kg, m₂ is 3.00 kg and M is 6.00 kg, then what is the tension in the string that is attached to m₂?

(Multiple Choice)

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Question 43

A mass m₁ is connected by a light string that passes over a pulley of mass M to a mass m₂ as shown in the figure. Both masses move vertically and there is no slippage between the string and the pulley. The pulley has a radius of 30.0 cm and a moment of inertia of MR². If m₁ is 4.00 kg, m₂ is 3.00 kg and M is 6.00 kg, then what is the magnitude of the acceleration of the masses?

(Multiple Choice)

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Question 44

A 10 kg sphere with a 25.0 cm radius has a moment of inertia of 2/5 MR². If a torque of 2.0 N•m is applied to the object, the angular acceleration is

(Multiple Choice)

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(27)

Question 45

A 30.0 cm wrench is used to generate a torque at a bolt. A force of 50.0 N is applied at the end of the wrench at an angle of 70.0 degrees. The torque generated at the bolt is

(Multiple Choice)

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Question 46

Chris and Jamie are carrying Wayne on a horizontal stretcher. The uniform stretcher is 2.00 m long and weighs 100 N. Wayne weighs 800 N. Wayne's center of gravity is 75.0 cm from Chris. Chris and Jamie are at the ends of the stretcher. The upward force that Jamie is exerting to support the stretcher, with Wayne on it, is

(Multiple Choice)

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Question 47

A propeller is spun up from rest to 1500 rpm in 15.0 s under the influence of a constant torque. If the work done by the engine in giving the propeller its final angular velocity is 25 kJ, what is the torque supplied by the engine?

(Multiple Choice)

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Question 48

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 ½ MR². If m₁ is 1.00 kg, m₂ is 2.00 kg, and M is 4.00 kg, then what is the tension in the string attached to m₁?

(Multiple Choice)

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Question 49

A mass m₁ is connected by a light string that passes over a pulley of mass M to a mass m₂ as shown in the figure. Both masses move vertically and there is no slippage between the string and the pulley. The pulley has a radius of 20.0 cm and a moment of inertia of ½ MR². If m₁ is 3.00 kg, m₂ is 6.00 kg and M is 4.00 kg, then what is the magnitude of the acceleration of the masses?

(Multiple Choice)

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Question 50

A 2.00 kg hollow sphere of radius 6.00 cm starts from rest and rolls without slipping down a 10.0 degree incline. If the length of the incline is 50.0 cm, then the velocity of the center of mass of the hollow sphere at the bottom of the incline is

(Multiple Choice)

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Question 51

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 ½ 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?

(Multiple Choice)

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Question 52

A 4.00 kg hollow sphere (I = 2/3 MR²) is spinning with an angular velocity of 10.0 rad/s. The diameter of the sphere is 20.0 cm. The rotational kinetic energy of the spinning sphere is

(Multiple Choice)

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Question 53

A 75.0 kg ladder that is 3.00 m long is placed against a wall at an angle theta. The center of gravity of the ladder is at a point 1.20 m from the base of the ladder. The coefficient of static friction at the base of the ladder is 0.800. There is no friction between the wall and the ladder. What is the minimum angle the ladder must make with the horizontal for the ladder not to slip and fall?

(Multiple Choice)

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(36)

Question 54

An 8.00 kg object has a moment of inertia of 1.50 kg m². If a torque of 2.00 N•m is applied to the object, the angular acceleration is

(Multiple Choice)

5.0/5

(30)

Question 55

A torque of 20.0 N·m is applied to a bolt. The bolt rotates through an angle of 180 degrees. The work done in turning the bolt is

(Multiple Choice)

4.9/5

(30)

Question 56

A 100 kg solid spherical rock (I = 2/5 MR²) has a diameter of 50.0 cm. The rock is rolling down a hill with a velocity of 5.00 m/s. The total kinetic energy (angular + translational) of the rolling rock is

(Multiple Choice)

4.8/5

(44)

Question 57

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 the increase in her rotational kinetic energy when she pulls in her arms to make her moment of inertia 1.40 kg m²?

(Multiple Choice)

4.8/5

(40)

Question 58

A 30.0 cm wrench is used to generate a torque at a bolt. A force of 40 N is applied perpendicularly at the end of the wrench. The torque generated at the bolt is

(Multiple Choice)

4.8/5

(48)

Question 59

A 5.00 kg mass is located at (1.0 m, 0.00 m, 3.00 m), a 2.00 kg mass is located at (0.00 m, 3.00 m, −2.00 m), and a 3.00 kg mass is located at (−1.0 m , −2.00 m , 0.00 m). The center of gravity of the system of masses is

(Multiple Choice)

4.9/5

(36)

Question 60

Showing 41 - 60 of 91

Exam 8: Torque and Angular Momentum

An irregularly shaped object is attached to an axle so that it may be spun. If a torque of 250 N·m must be applied for 1.25 s in order to give it a rotation period of 0.10 s, what is its moment of inertia?

A 10 kg sphere with a 25.0 cm radius has a moment of inertia of 2/5 MR2. If a torque of 2.0 N•m is applied to the object, the angular acceleration is

A 30.0 cm wrench is used to generate a torque at a bolt. A force of 50.0 N is applied at the end of the wrench at an angle of 70.0 degrees. The torque generated at the bolt is

A propeller is spun up from rest to 1500 rpm in 15.0 s under the influence of a constant torque. If the work done by the engine in giving the propeller its final angular velocity is 25 kJ, what is the torque supplied by the engine?

A 2.00 kg hollow sphere of radius 6.00 cm starts from rest and rolls without slipping down a 10.0 degree incline. If the length of the incline is 50.0 cm, then the velocity of the center of mass of the hollow sphere at the bottom of the incline is

A 4.00 kg hollow sphere (I = 2/3 MR2) is spinning with an angular velocity of 10.0 rad/s. The diameter of the sphere is 20.0 cm. The rotational kinetic energy of the spinning sphere is

An 8.00 kg object has a moment of inertia of 1.50 kg m2. If a torque of 2.00 N•m is applied to the object, the angular acceleration is

A torque of 20.0 N·m is applied to a bolt. The bolt rotates through an angle of 180 degrees. The work done in turning the bolt is

A 100 kg solid spherical rock (I = 2/5 MR2) has a diameter of 50.0 cm. The rock is rolling down a hill with a velocity of 5.00 m/s. The total kinetic energy (angular + translational) of the rolling rock is

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 the increase in her rotational kinetic energy when she pulls in her arms to make her moment of inertia 1.40 kg m2?

A 30.0 cm wrench is used to generate a torque at a bolt. A force of 40 N is applied perpendicularly at the end of the wrench. The torque generated at the bolt is

A 5.00 kg mass is located at (1.0 m, 0.00 m, 3.00 m), a 2.00 kg mass is located at (0.00 m, 3.00 m, −2.00 m), and a 3.00 kg mass is located at (−1.0 m , −2.00 m , 0.00 m). The center of gravity of the system of masses is

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A 10 kg sphere with a 25.0 cm radius has a moment of inertia of 2/5 MR². If a torque of 2.0 N•m is applied to the object, the angular acceleration is

A 4.00 kg hollow sphere (I = 2/3 MR²) is spinning with an angular velocity of 10.0 rad/s. The diameter of the sphere is 20.0 cm. The rotational kinetic energy of the spinning sphere is

An 8.00 kg object has a moment of inertia of 1.50 kg m². If a torque of 2.00 N•m is applied to the object, the angular acceleration is

A 100 kg solid spherical rock (I = 2/5 MR²) has a diameter of 50.0 cm. The rock is rolling down a hill with a velocity of 5.00 m/s. The total kinetic energy (angular + translational) of the rolling rock is

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 the increase in her rotational kinetic energy when she pulls in her arms to make her moment of inertia 1.40 kg m²?