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A thin spherical shell of radius R lying...

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?

Text Solution

Verified by Experts

The correct Answer is:
A, B, C
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`
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