by BlastRoom
Analyze rolling bodies as simultaneous translation and rotation with shared energy.
#physics

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The figure shows a wheel rolling without slipping to the right. The center C moves at 4.0 m/s. What is the speed of the contact point P relative to the ground?

Use the velocity diagram for a wheel rolling without slipping to the right. If C is the center and T is the top point, what is the speed of T relative to the ground?

The figure shows a wheel rolling without slipping to the left. What is the velocity of the center C relative to the ground?

A wheel rolls without slipping to the right. In the figure, point P touches the ground. What is the speed of the top point T?

The diagram gives velocities for a wheel rolling without slipping to the right. What is the speed of the point P at the ground contact?

A rolling wheel's velocity diagram is drawn with 1 square = 0.50 m/s. What speed does the top point T have relative to the ground?

The wheel in the figure rolls without slipping to the left. What is the velocity of the top point T relative to the ground?

Look at the rolling wheel diagram. Which marked point has zero speed relative to the ground at this instant?

In the figure, a wheel rolls without slipping to the right with center speed 9.0 m/s. What is the ratio of the top point's speed to the center's speed?

A wheel rolls without slipping to the right. Use the velocity of the top point T in the diagram. What is the speed of the center C?

A 1.5 kg wheel of radius 0.25 m rolls without slipping at a center speed of 5.0 m/s. What is its angular velocity?
A 0.80 kg wheel of radius 0.40 m rolls without slipping at 2.4 m/s while its center accelerates at 1.2 m/s². What is its angular acceleration?
A 0.60 kg ball of radius 0.18 m rolls without slipping at a center speed of 4.5 m/s. Through what angle does it rotate in 2.0 s at that speed?
A 5.0 kg drum of radius 0.75 m rolls without slipping at a center speed of 6.0 m/s. What is the drum's angular velocity?
A 0.20 kg wheel of radius 0.12 m rolls without slipping as its speed increases from 3.6 m/s to 6.0 m/s in 4.0 s. What is its angular acceleration?
A solid cylinder has mass 2.0 kg, radius 0.10 m, and speed 3.0 m/s while rolling without slipping. For this axis, I = 0.5MR². What is its total kinetic energy?
A thin hoop has mass 1.2 kg, radius 0.20 m, and speed 4.0 m/s while rolling without slipping. For this axis, I = MR². What is its rotational kinetic energy?
A solid sphere has mass 3.0 kg, radius 0.15 m, and speed 2.0 m/s while rolling without slipping. For this axis, I = (2/5)MR². What is its total kinetic energy?
A solid cylinder of mass 0.50 kg and radius 0.050 m rolls without slipping at 10.0 m/s. For this axis, I = 0.5MR². What is its total kinetic energy?
A thin hoop of mass 0.80 kg and radius 0.40 m rolls without slipping at 5.0 m/s. For this axis, I = MR². What is its total kinetic energy?
A solid sphere of mass 2.5 kg and radius 0.10 m rolls without slipping at 6.0 m/s. For this axis, I = (2/5)MR². What fraction of its total kinetic energy is rotational?
A 1.0 kg solid sphere and a 1.0 kg thin hoop, each radius 0.15 m, start from rest at 0.0 m/s at the same height on a ramp. With g = 9.8 m/s², which reaches the bottom first?
Two solid cylinders roll without slipping from rest at 0.0 m/s down the same ramp: A is 1.0 kg and 0.10 m radius; B is 4.0 kg and 0.30 m radius. With g = 9.8 m/s², what happens?
A 2.0 kg wheel of radius 0.35 m rolls without slipping along level ground at 4.0 m/s. If friction at the contact enforces the no-slip condition, what type of friction is it?
A solid cylinder and a thin hoop roll without slipping from rest at 0.0 m/s down the same ramp. The cylinder is 1.0 kg, 0.10 m radius; the hoop is 2.0 kg, 0.30 m radius. With g = 9.8 m/s², which wins?
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