The ring and the disk shown above have identical masses, radii, and velocities,

Question

The ring and the disk shown above have identical masses, radii, and velocities, and are not attached to each other. If the ring and the disk each roll without slipping up an inclined plane, how will the distances that they move up the plane before coming to rest compare? The ring will move farther than will the disk. The disk will move farther than will the ring. The ring and the disk will move equal distances. The relative distances depend on the angle of elevation of the plane. The relative distances depend on the length of the plane.

Explanation / Answer

Here , for the ring and disk

moment of inertia of ring = m * r^2

moment of inertia of disk = 0.5 * m * r^2

as the moment of inertia of ring is higher , for same velocity in rolling

kinetic energy of ring will be higher than the disk

hence , it reach to a greater height as it has more energy

therefore the correct option is

a) the ring will move farther than will the disk

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