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

Options

A. `3/5v`
B. `2/5v`
C. `4/5v`
D. None of these

Answer

B

Explanation

`v_(f)=v-f/mt" ".......(1)`
`"fr"=Ialpha=2/3mr^(2)alpha" ""So"" "alpha=3/2("f")/(mr)`
`omega_("f")=0+alphat" ".......(2)`
`"for pure rolling "v_("f")=r omega_("f")Rightarrowv_("f")=2/5v`