A thin spherical shell of radius R lying on a rough horizontal surface is hit sharply and horizontally by a cue. Where should it be hit so that the shell does not slip on the surface?

Answer

A, B, C

Explanation

Let the cue strickes at as height h above the center for pure rolling
`V_c=Romega`
Applying law of conservation of angular momentum at point A.
`-mu_Ch-thetaomega=0`
`mv_Ch=2/3mR^2(V_0/R)`
`h=(2R)/3`