The angular momentum of a flywheel about its axis is 925 kg · m2/s.If its moment of inertia about the same axis is 2.50 kg · m2,its angular velocity is

A) 370 rev/min B) 62 rev/min C) 36 rev/min D) 2210 rad/s E) 370 rad/s A) 370 rev/min B) 62 rev/min C) 36 rev/min D) 2210 rad/s E) 370 rad/s

Exam 10: Conservation of Angular Momentum

A phonograph turntable in the xz plane is rotating clockwise as viewed from above.The vector that represents the torque with which the motor turns the table is

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Question 21

A merry-go-round with a moment of inertia of 6.78 $\times$ 10³ kg · m² is coasting at 2.20 rad/s.When a 72.6-kg man steps onto the rim,the angular velocity decreases to 2.0 rad/s.The radius of the merry-go-round is

(Multiple Choice)

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Question 22

The energy-level diagram that most closely represents a rotating molecule with constant moment of inertia is

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Question 23

Two identical cylindrical discs have a common axis.Initially one of the discs is spinning.When the two discs are brought into contact,they stick together.Which of the following is true?

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Question 24

If the angular momentum of a system is constant,which of the following statements must be true?

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Question 25

The angular momentum of a flywheel about its axis is 925 kg · m²/s.If its moment of inertia about the same axis is 2.50 kg · m²,its angular velocity is

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Question 26

Which of the following statements is true?

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Question 27

A wheel of moment of inertia 0.136 kg · m² is spinning with an angular speed of 5000 rad/s.A torque is applied about an axis perpendicular to the spin axis.If the applied torque has a magnitude of 67.8 N · m,the angular velocity of precession will be

(Multiple Choice)

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Question 28

A wheel is rotating in the direction indicated.If you pull down on the end of the axle nearest you,that end of the axle tends to move

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Question 29

A man is walking north carrying a suitcase that contains a spinning gyroscope mounted on an axle attached to the front and back of the case.The angular velocity of the gyroscope points north.The man now begins to turn to walk east.As a result,the front end of the suitcase

(Multiple Choice)

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Question 30

A particle of mass m is moving with a velocity ,in the yz plane as shown.The vector that most nearly represents the angular momentum about the x axis is

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Question 31

Use the figure to the right to answer the next problem. A ball of mass of mass m is tied with a light string to a vertical post of radius R_p and slides on a frictionless horizontal surface. As the ball travels around the post, the string wraps around the post, shortening the length. At t = 0 s, its speed is v_o and radius is r_o. -What is the angular momentum of the ball after the string has wrapped once around the post?

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Question 32

Let us compare the angular momentum of Mars (L_M)in its orbit around the Sun to that of Earth (L_E).The mean orbital speed of Mars is 24 km/s,whereas that of Earth is 30 km/s.The mean orbital radius of Mars is 228 $\times$ 10⁶ km,whereas that of Earth is 150 $\times$ 10⁶ km.If the mass of Mars is 11% that of Earth,calculate the ratio L_M / L_E.

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Question 33

A disc-shaped grindstone of mass 3.0 kg and radius 8.0 cm is spinning at 600 rev/min.After the power is shut off,a man continues to sharpen his axe by holding it against the grindstone until it stops 10 s later.What was the stone's initial kinetic energy when the power was turned off?

(Multiple Choice)

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Question 34

We would like to compare the angular momentum of Mars about its axis of rotation with that of Earth's.The mass of Mars is 11% that of Earth,with a radius 53% that of Earth,and a rotational period 103% that of Earth.Assuming both planets to be uniform spheres calculate the ratio of the angular momentum of Mars to that of Earth.

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Question 35

Two balls,each of mass m,are attached to the ends of a rod of length l and mass M.The system is then rotated about a frictionless pivot located at the center of mass with angular velocity $\omega$ .The angular momentum of the system in vector form about the pivot is $Two balls,each of mass m,are attached to the ends of a rod of length l and mass M.The system is then rotated about a frictionless pivot located at the center of mass with angular velocity \omega .The angular momentum of the system in vector form about the pivot is$

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Question 36

A disc with moment of inertia I₁ = 40 kg.m² and angular velocity $\omega$ ₁ = 20 rad/s is dropped on to a stationary second disc along the axis of rotation.The second disc has moment of inertia I₂ = 60 kg.m².How much rotational kinetic energy is lost?

(Multiple Choice)

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Question 37

A spinning bicycle wheel with a loaded rim (essentially a hoop)is supported by a line at one end of its axle.The radius of the wheel is 0.305 m,and the wheel has a mass of 3.63 kg.It is spinning at 80.0 rad/s,and the center of mass is 15.2 cm from the point of support.The angular velocity of precession is

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Question 38

A force _x in the negative x direction is applied to a particle in the xy plane.The arrow that best represents the torque produced by _x on the particle with respect to the origin is

(Multiple Choice)

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Question 39

If the sum of the external torques on a system is zero,there is

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Question 40

Showing 21 - 40 of 66

Exam 10: Conservation of Angular Momentum

A phonograph turntable in the xz plane is rotating clockwise as viewed from above.The vector that represents the torque with which the motor turns the table is

A merry-go-round with a moment of inertia of 6.78 ×\times× 103 kg · m2 is coasting at 2.20 rad/s.When a 72.6-kg man steps onto the rim,the angular velocity decreases to 2.0 rad/s.The radius of the merry-go-round is

The energy-level diagram that most closely represents a rotating molecule with constant moment of inertia is

Two identical cylindrical discs have a common axis.Initially one of the discs is spinning.When the two discs are brought into contact,they stick together.Which of the following is true?

If the angular momentum of a system is constant,which of the following statements must be true?

The angular momentum of a flywheel about its axis is 925 kg · m2/s.If its moment of inertia about the same axis is 2.50 kg · m2,its angular velocity is

Which of the following statements is true?

A wheel of moment of inertia 0.136 kg · m2 is spinning with an angular speed of 5000 rad/s.A torque is applied about an axis perpendicular to the spin axis.If the applied torque has a magnitude of 67.8 N · m,the angular velocity of precession will be

A wheel is rotating in the direction indicated.If you pull down on the end of the axle nearest you,that end of the axle tends to move

A man is walking north carrying a suitcase that contains a spinning gyroscope mounted on an axle attached to the front and back of the case.The angular velocity of the gyroscope points north.The man now begins to turn to walk east.As a result,the front end of the suitcase

A particle of mass m is moving with a velocity ,in the yz plane as shown.The vector that most nearly represents the angular momentum about the x axis is

A disc-shaped grindstone of mass 3.0 kg and radius 8.0 cm is spinning at 600 rev/min.After the power is shut off,a man continues to sharpen his axe by holding it against the grindstone until it stops 10 s later.What was the stone's initial kinetic energy when the power was turned off?

Two balls,each of mass m,are attached to the ends of a rod of length l and mass M.The system is then rotated about a frictionless pivot located at the center of mass with angular velocity ω\omegaω .The angular momentum of the system in vector form about the pivot is

A disc with moment of inertia I1 = 40 kg.m2 and angular velocity ω\omegaω 1 = 20 rad/s is dropped on to a stationary second disc along the axis of rotation.The second disc has moment of inertia I2 = 60 kg.m2.How much rotational kinetic energy is lost?

A force x in the negative x direction is applied to a particle in the xy plane.The arrow that best represents the torque produced by x on the particle with respect to the origin is

If the sum of the external torques on a system is zero,there is

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A merry-go-round with a moment of inertia of 6.78 $\times$ 10³ kg · m² is coasting at 2.20 rad/s.When a 72.6-kg man steps onto the rim,the angular velocity decreases to 2.0 rad/s.The radius of the merry-go-round is

The angular momentum of a flywheel about its axis is 925 kg · m²/s.If its moment of inertia about the same axis is 2.50 kg · m²,its angular velocity is

A wheel of moment of inertia 0.136 kg · m² is spinning with an angular speed of 5000 rad/s.A torque is applied about an axis perpendicular to the spin axis.If the applied torque has a magnitude of 67.8 N · m,the angular velocity of precession will be

A disc with moment of inertia I₁ = 40 kg.m² and angular velocity $\omega$ ₁ = 20 rad/s is dropped on to a stationary second disc along the axis of rotation.The second disc has moment of inertia I₂ = 60 kg.m².How much rotational kinetic energy is lost?

A force _x in the negative x direction is applied to a particle in the xy plane.The arrow that best represents the torque produced by _x on the particle with respect to the origin is