A thin spherical shell lying on a rough horizontal surface is hit by as cue in such a way that the line of action passes through the centre of the shell. As a result the shell starts moving with a linear speed v without any initial angualr velocity. Find the linear speed of the shell after it starts pure rolling on the surface.

A thin spherical shell lying on a rough horizontal surface is hit by a

1.	A thin spherical shell lying on a rough horizontal surface is hit by as cue in such a way that the line of action passes through the centre of the shell. As a result the shell starts moving with a linear speed v without any initial angualr velocity. Find the linear speed of the shell after it starts pure rolling on the surface.
Answer» Correct Answer - C The shell will move a velocity nearly equal to v due to this motion a frictioN/Al force wil act. In the background direction, for which after some time the shell attains a pure roling. If we consider moment about A, then it wil be zero. Therefore Net angular momentum about A before pure rolling. =net angular moment after pure rolling `=(2/3)MR^2xx(V_0/R)+(MxV_0xxR)=MVR` `rarr (5/3)V_0=V` `rarr V_0=(3V)/5`

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