AP Physics C Rotation Review

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A wheel of 0.5 m radius rolls without slipping on a horizontal surface. The axle of the wheel advances at constant velocity, moving a distance of 20 m in 5 s. The angular speed about its point of contact on the surface is

• 2 rad/s

• 4 rad/s

• 8 rad/s

• 16 rad/s

• 32 rad/s

A sphere of mass M, radius r and rotational inertia I is released from rest at the top of an inclined plane. If the plane is frictionless, what is the speed of the center of mass of the sphere at the bottom of the incline?

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Tags

NGSS.HS-PS2-1

NGSS.HS-PS3-1

NGSS.HS-PS3-2

NGSS.HS-PS2-4

A sphere of mass M, radius r, and rotational inertia I is released from rest at the top of an inclined plane of height h. If the plane has friction so that the sphere rolls without slipping, what is the speed of the center of mass at the bottom of the incline?

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Tags

NGSS.HS-PS2-1

NGSS.HS-PS3-1

NGSS.HS-PS3-2

A system of two wheels fixed to each other is free to rotate about a frictionless axis through the common center of the wheels and perpendicular to the page. Four forces are exerted tangentially to the rims of the wheels, as shown. The magnitude of the net torque on the system about the axis is

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• FR

• 2FR

• 5FR

• 14FR

A particle is moving in a circle of radius 2 m according to the relation θ = 3t^2 +2t, where θ is measured in radians and t in seconds. The speed of the particle at t= 4 s is

• 13 m/s

• 16 m/s

• 26 m/s

• 52 m/s

• 338 m/s

A light rigid rod with masses attached to its ends is pivoted about a horizontal axis as shown above. When released from rest in a horizontal orientation, the rod begins to rotate with an angular acceleration of magnitude

• g/7l

• g/5l

• g/4l

• 5g/7l

• g/l

Tags

NGSS.HS-PS2-1

A wheel with rotational inertia I is mounted on a fixed, frictionless axle. The angular speed ω of the wheel is increased from zero to ωf in a time interval T. What is the average power input to the wheel during this time interval?

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NGSS.HS-PS3-3

Two blocks are joined by a light string that passes over the pulley shown above, which has radius R and moment of inertia I about its center. T1 and T2 are the tensions in the string on either side of the pulley and α is the angular acceleration of the pulley. Which of the following equations best describes the pulley's rotational motion during the time the blocks accelerate?

• m_2gR = Iα

• (T1 + T2)R = Iα

• T2R = Iα

• (T2 - T1)R = Iα

• (m2 – m1)gR = Iα

Tags

NGSS.HS-PS2-1