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A small ball B of mass m is suspended wi...

A small ball `B` of mass `m` is suspended with light inelastic string of length `L` from a block `A` of same mass in which can move on smooth horizontal surface as shown in the figure. The ball is displaced by angle `theta` from equilibrium position and then released.

The displacement of block when equilibrium position is

A

`(Lsintheta)/2`

B

`Lsintheta`

C

`L`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
If ball and blocks are taken as system, then in horizontal direction no exteral force is present. Hence, centre of mass remains in rest in horizontal direction.
`:. m(Lsinthetax-)-mx=0`
or `mLsinthetas-mx-mx=0`

`:. x=L/2sintheta`
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