Q.

A solid sphere rolls without slipping on a rough horizontal floor, moving with a speed v. It makes an elastic collision with a smooth vertical wall. After impact

Moderate

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it will move with a speed v initially

its motion will be rolling without slipping

its motion will be rolling with slipping initially and its rotational motion will stop momentarily at some instant

its motion will be rolling without slipping only after some time.

answer is 1,3,4.

(Detailed Solution Below)

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Detailed Solution

After impact, the force of friction will act in a direction opposite to that of the motion. The body will retain its initial angular motion (clockwise). The force of friction will cause linear retardation, reducing v. It will also cause an anticlockwise angular acceleration, which will reduce ω to zero and then introduce anticlockwise ω till rolling without slipping begins. F will then disappear.

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