A solid sphere with a velocity (of centre of | vedclass

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(D) When a sphere is placed on a rough horizontal surface,the frictional force depends on the condition of rolling. If the sphere is placed such that

Vedclass · Accepted Answer

none of the above

Vedclass · Answer

(D) When a sphere is placed on a rough horizontal surface,the frictional force depends on the condition of rolling. If the sphere is placed such that the velocity of the point of contact $v_p = v - r\omega = 0$,then the relative velocity between the sphere and the surface is zero. In this specific case,there is no relative motion between the point of contact and the surface,so the frictional force acting on the sphere is zero. Since the problem does not specify that $v 
eq r\omega$,it is possible for the frictional force to be zero. Therefore,none of the given statements (which claim the force must be forward,backward,or cannot be zero) are universally true.

$A$ solid sphere with a velocity (of centre of mass) $v$ and angular velocity $\omega$ is gently placed on a rough horizontal surface. The frictional force on the sphere:

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