A solid sphere of radius r = 5 cm and mass m = 0.2 kg rolls in a groove as shown. The angle, $\theta$, between the points of contact with the groove is 120S1U1P1$\circ$S1S1P0. If the sphere has a linear velocity of 10 mm/s, what is the rotational kinetic energy?

A) 0.8 mJ B) 1.0 mJ C) 1.6 mJ D) 2.0 mJ E) undetermined. A) 0.8 mJ B) 1.0 mJ C) 1.6 mJ D) 2.0 mJ E) undetermined.

Exam 9: Rotation

Four 50-g point masses are at the corners of a square with 20-cm sides. What is the moment of inertia of this system about an axis perpendicular to the plane of the square and passing through its center?

(Multiple Choice)

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Question 81

The rotational inertia of an object about an axis depends on the

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Question 82

A body of mass m is whirled at a constant angular velocity on the end of a string of length R. To double the kinetic energy of the body as it whirls while maintaining the angular velocity, the length of the string must be changed to

(Multiple Choice)

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Question 83

The diagrams above show the application of a force to a level arm. Which diagram has the largest (magnitude) torque about the hinge?

(Multiple Choice)

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Question 84

A 2.0-kg mass is attached to the end of a 5.0-m rope. The mass moves in a circular path on a horizontal frictionless surface. If the breaking strength of the rope is 40 N, the maximum translational speed with which you can swing the mass without breaking the rope is approximately

(Multiple Choice)

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Question 85

The moment of inertia of a certain wheel about its axle is mR². The translational speed of its axle after it starts from rest and rolls without slipping down an inclined plane 2.13 m high is

(Multiple Choice)

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Question 86

The Crab Pulsar rotates 30 times per second. However, its period is increasing by about 10^-5 s per year. How many years will it take before its period of rotation has doubled?

(Multiple Choice)

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Question 87

A solid sphere of radius r = 5 cm and mass m = 0.2 kg rolls in a groove as shown. The angle, $\theta$ , between the points of contact with the groove is 120^$\circ$. If the sphere has a linear velocity of 10 mm/s, what is the rotational kinetic energy? $A solid sphere of radius r = 5 cm and mass m = 0.2 kg rolls in a groove as shown. The angle, \theta , between the points of contact with the groove is 120<sup> \circ </sup>. If the sphere has a linear velocity of 10 mm/s, what is the rotational kinetic energy?$

(Multiple Choice)

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Question 88

A uniform cylinder (I = mR²) of diameter 0.20 m and mass 12 kg rolls without slipping down a 37º inclined plane. The acceleration of the cylinder down the plane is approximately

(Multiple Choice)

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Question 89

A 1.0-kg metal hoop with a radius of 0.5 m has a translational velocity of 2.0 m/s as it rolls without slipping. The angular momentum of this hoop about its center of mass is

(Multiple Choice)

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Question 90

A hoop of radius 3.05 n has a mass of 145 kg. Its moment of inertia is mR². The hoop rolls without slipping along a horizontal plane. If the center of mass of the hoop has a speed of 0.305 m/s, the work required to bring the hoop to rest is

(Multiple Choice)

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Question 91

To increase the moment of inertia of a body about an axis, you must

(Multiple Choice)

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Question 92

A uniform stick 1 m long is placed horizontally on the ground along an east-west axis. A force of 1.0 N is applied to the center of the stick in a direction 30º west of north. The torque exerted by the force relative to the east end of the stick is

(Multiple Choice)

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Question 93

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 is the average torque exerted by the axe on the grindstone?

(Multiple Choice)

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Question 94

Two uniform discs, each with the same mass but with radii differing by a factor of two, roll without slipping down an inclined plane. If the two discs start from rest at the same height h, calculate the ratio of the angular velocity of the small disc divided by that of the larger disc.

(Multiple Choice)

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Question 95

A solid sphere (I = 0.4MR²) of radius 0.06 m and mass 0.50 kg rolls without slipping 14m down a 30º inclined plane. At the bottom of the plane, the linear velocity of the center of mass of the sphere is approximately

(Multiple Choice)

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Question 96

In the figure, R₁ = R₂ and cm is the center of mass. The rotational inertia about an axis through point P₁ is I₁, the rotational inertia about an axis through point P₂ is I₂, and the rotational inertia about an axis through the cm is I_cm. The relationship among the moments is

(Multiple Choice)

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Question 97

A solid cylinder of mass m = 3 kg and radius r = 12 cm is initially rotating about its central axis with angular frequency $\omega$ = 25 radians/s. How many revolutions does it make after a retarding force of 0.5 N is applied to the outer surface?

(Multiple Choice)

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Question 98

A disk with a radius of 1.5 m whose moment of inertia is 34 kg · m² is caused to rotate by a force of 160 N tangent to the circumference. The angular acceleration of the disk is approximately

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Question 99

A wagon wheel consists of 8 spokes of uniform diameter, each of mass m_s and length L cm. The outer ring has a mass m_ring. What is the moment of inertia of the wheel? Assume that each spoke extends from the center to the other ring and the ring is of negligible thickness.

(Multiple Choice)

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Question 100

Showing 81 - 100 of 119

Four 50-g point masses are at the corners of a square with 20-cm sides. What is the moment of inertia of this system about an axis perpendicular to the plane of the square and passing through its center?

The rotational inertia of an object about an axis depends on the

A body of mass m is whirled at a constant angular velocity on the end of a string of length R. To double the kinetic energy of the body as it whirls while maintaining the angular velocity, the length of the string must be changed to

The diagrams above show the application of a force to a level arm. Which diagram has the largest (magnitude) torque about the hinge?

A 2.0-kg mass is attached to the end of a 5.0-m rope. The mass moves in a circular path on a horizontal frictionless surface. If the breaking strength of the rope is 40 N, the maximum translational speed with which you can swing the mass without breaking the rope is approximately

The moment of inertia of a certain wheel about its axle is mR². The translational speed of its axle after it starts from rest and rolls without slipping down an inclined plane 2.13 m high is

The Crab Pulsar rotates 30 times per second. However, its period is increasing by about 10^-5 s per year. How many years will it take before its period of rotation has doubled?

A uniform cylinder (I = mR²) of diameter 0.20 m and mass 12 kg rolls without slipping down a 37º inclined plane. The acceleration of the cylinder down the plane is approximately

A 1.0-kg metal hoop with a radius of 0.5 m has a translational velocity of 2.0 m/s as it rolls without slipping. The angular momentum of this hoop about its center of mass is

A hoop of radius 3.05 n has a mass of 145 kg. Its moment of inertia is mR². The hoop rolls without slipping along a horizontal plane. If the center of mass of the hoop has a speed of 0.305 m/s, the work required to bring the hoop to rest is

To increase the moment of inertia of a body about an axis, you must

A uniform stick 1 m long is placed horizontally on the ground along an east-west axis. A force of 1.0 N is applied to the center of the stick in a direction 30º west of north. The torque exerted by the force relative to the east end of the stick 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 is the average torque exerted by the axe on the grindstone?

Two uniform discs, each with the same mass but with radii differing by a factor of two, roll without slipping down an inclined plane. If the two discs start from rest at the same height h, calculate the ratio of the angular velocity of the small disc divided by that of the larger disc.

A solid sphere (I = 0.4MR²) of radius 0.06 m and mass 0.50 kg rolls without slipping 14m down a 30º inclined plane. At the bottom of the plane, the linear velocity of the center of mass of the sphere is approximately

In the figure, R₁ = R₂ and cm is the center of mass. The rotational inertia about an axis through point P₁ is I₁, the rotational inertia about an axis through point P₂ is I₂, and the rotational inertia about an axis through the cm is I_cm. The relationship among the moments is

A solid cylinder of mass m = 3 kg and radius r = 12 cm is initially rotating about its central axis with angular frequency $\omega$ = 25 radians/s. How many revolutions does it make after a retarding force of 0.5 N is applied to the outer surface?

A disk with a radius of 1.5 m whose moment of inertia is 34 kg · m² is caused to rotate by a force of 160 N tangent to the circumference. The angular acceleration of the disk is approximately

A wagon wheel consists of 8 spokes of uniform diameter, each of mass m_s and length L cm. The outer ring has a mass m_ring. What is the moment of inertia of the wheel? Assume that each spoke extends from the center to the other ring and the ring is of negligible thickness.

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Conservation of Angular Momentum

Gravity

Static Equilibrium and Elasticity

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Exam 9: Rotation

Four 50-g point masses are at the corners of a square with 20-cm sides. What is the moment of inertia of this system about an axis perpendicular to the plane of the square and passing through its center?

The rotational inertia of an object about an axis depends on the

A body of mass m is whirled at a constant angular velocity on the end of a string of length R. To double the kinetic energy of the body as it whirls while maintaining the angular velocity, the length of the string must be changed to

The diagrams above show the application of a force to a level arm. Which diagram has the largest (magnitude) torque about the hinge?

A 2.0-kg mass is attached to the end of a 5.0-m rope. The mass moves in a circular path on a horizontal frictionless surface. If the breaking strength of the rope is 40 N, the maximum translational speed with which you can swing the mass without breaking the rope is approximately

The moment of inertia of a certain wheel about its axle is mR2. The translational speed of its axle after it starts from rest and rolls without slipping down an inclined plane 2.13 m high is

The Crab Pulsar rotates 30 times per second. However, its period is increasing by about 10-5 s per year. How many years will it take before its period of rotation has doubled?

A solid sphere of radius r = 5 cm and mass m = 0.2 kg rolls in a groove as shown. The angle, θ\thetaθ , between the points of contact with the groove is 120 ∘\circ∘ . If the sphere has a linear velocity of 10 mm/s, what is the rotational kinetic energy?

A uniform cylinder (I = mR2) of diameter 0.20 m and mass 12 kg rolls without slipping down a 37º inclined plane. The acceleration of the cylinder down the plane is approximately

A 1.0-kg metal hoop with a radius of 0.5 m has a translational velocity of 2.0 m/s as it rolls without slipping. The angular momentum of this hoop about its center of mass is

A hoop of radius 3.05 n has a mass of 145 kg. Its moment of inertia is mR2. The hoop rolls without slipping along a horizontal plane. If the center of mass of the hoop has a speed of 0.305 m/s, the work required to bring the hoop to rest is

To increase the moment of inertia of a body about an axis, you must

A uniform stick 1 m long is placed horizontally on the ground along an east-west axis. A force of 1.0 N is applied to the center of the stick in a direction 30º west of north. The torque exerted by the force relative to the east end of the stick 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 is the average torque exerted by the axe on the grindstone?

Two uniform discs, each with the same mass but with radii differing by a factor of two, roll without slipping down an inclined plane. If the two discs start from rest at the same height h, calculate the ratio of the angular velocity of the small disc divided by that of the larger disc.

A solid sphere (I = 0.4MR2) of radius 0.06 m and mass 0.50 kg rolls without slipping 14m down a 30º inclined plane. At the bottom of the plane, the linear velocity of the center of mass of the sphere is approximately

In the figure, R1 = R2 and cm is the center of mass. The rotational inertia about an axis through point P1 is I1, the rotational inertia about an axis through point P2 is I2, and the rotational inertia about an axis through the cm is Icm. The relationship among the moments is

A solid cylinder of mass m = 3 kg and radius r = 12 cm is initially rotating about its central axis with angular frequency ω\omegaω = 25 radians/s. How many revolutions does it make after a retarding force of 0.5 N is applied to the outer surface?

A disk with a radius of 1.5 m whose moment of inertia is 34 kg · m2 is caused to rotate by a force of 160 N tangent to the circumference. The angular acceleration of the disk is approximately

A wagon wheel consists of 8 spokes of uniform diameter, each of mass ms and length L cm. The outer ring has a mass mring. What is the moment of inertia of the wheel? Assume that each spoke extends from the center to the other ring and the ring is of negligible thickness.

Systems of Measurement

Motion in One Dimension

Motion in Two and Three Dimensions

Newtons Laws

Applications of Newtons Laws

Work and Energy

Conservation of Energy

Systems of Particles and Conservation of Linear Momentum

Conservation of Angular Momentum

Gravity

Static Equilibrium and Elasticity

Fluids

Oscillations

Wave Motion

Superposition and Standing Waves

Temperature and the Kinetic Theory of Gases

Heat and the First Law of Thermodynamics

The Second Law of Thermodynamics

Thermal Properties and Processes

Filters

The moment of inertia of a certain wheel about its axle is mR². The translational speed of its axle after it starts from rest and rolls without slipping down an inclined plane 2.13 m high is

The Crab Pulsar rotates 30 times per second. However, its period is increasing by about 10^-5 s per year. How many years will it take before its period of rotation has doubled?

A uniform cylinder (I = mR²) of diameter 0.20 m and mass 12 kg rolls without slipping down a 37º inclined plane. The acceleration of the cylinder down the plane is approximately

A hoop of radius 3.05 n has a mass of 145 kg. Its moment of inertia is mR². The hoop rolls without slipping along a horizontal plane. If the center of mass of the hoop has a speed of 0.305 m/s, the work required to bring the hoop to rest is

A solid sphere (I = 0.4MR²) of radius 0.06 m and mass 0.50 kg rolls without slipping 14m down a 30º inclined plane. At the bottom of the plane, the linear velocity of the center of mass of the sphere is approximately

In the figure, R₁ = R₂ and cm is the center of mass. The rotational inertia about an axis through point P₁ is I₁, the rotational inertia about an axis through point P₂ is I₂, and the rotational inertia about an axis through the cm is I_cm. The relationship among the moments is

A solid cylinder of mass m = 3 kg and radius r = 12 cm is initially rotating about its central axis with angular frequency $\omega$ = 25 radians/s. How many revolutions does it make after a retarding force of 0.5 N is applied to the outer surface?

A disk with a radius of 1.5 m whose moment of inertia is 34 kg · m² is caused to rotate by a force of 160 N tangent to the circumference. The angular acceleration of the disk is approximately

A wagon wheel consists of 8 spokes of uniform diameter, each of mass m_s and length L cm. The outer ring has a mass m_ring. What is the moment of inertia of the wheel? Assume that each spoke extends from the center to the other ring and the ring is of negligible thickness.