A small disc is on the top of a hemisphere of radius $R$. The smallest horizontal velocity that shou

Question

A small disc is on the top of a hemisphere of radius $R$. The smallest horizontal velocity that should be given to the disc for it to leave the hemisphere and not slide down it (if there is no friction) is\

Professor PC Thomas Classes · Answer

\ The velocity v to be given to the particle must be such that the weight mg is completely utilized to supply centripetal force. $\frac{m v^{2}}{R}=m g$ $$ =\sqrt{R g} $$