Question

A cylinder rolls without slipping on a rough horizontal floor, its centre of mass moving with a speed $v$. It makes an elastic collision with smooth vertical wall. After impart.

• A. Its centre of mass will move with a speed $v$ initially
• B. Its motion will be rolling without slipping
• C. Its motion will be rolling with slipping initially and its rotational motion will stop momentarily at some instant
• D. Its motion will be rolling without slipping only after some time

Answer 1

The correct option is A Its centre of mass will move with a speed $v$ initially

After impact, the force of friction will act in a direction opposite to that of the motion. The body will have retained 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.