Question

A solid ball is placed on a rough horizontal surface with initial velocity of its $COM$ as $v_0$ and initial angular velocity ${\omega }_0$ as shown and given in List 1

Answer 1

(A) Anticlockwise rotation is produced when a body moves in backward direction.The linear velocity is related to this angular velocity is $w_{o}R=3V_o$

The velocity of centre of mass in forward direction but the backward motion try to opposite direction.So, body up ultimately returns during its motion.

(B) Clockwise rotation is produced when body moves in forward direction and $CM$ also has velocity in forward direction.

The combine effect of those try to move the body in forward direction. And also it will have its initial angular velocity in clockwise direction.

(C)The centre of mass of the body is $V_o$ in forward direction.This forward motion will produced rotation in body in clockwise direction.

(D)This clockwise rotation tends to move the body in forward direction and the body will final angukar velocity in clockwise direction.