A small ball B of mass m is suspended with a light inelastic string of length L from a block A of same mass m which can move on a smooth horizontal surface as shown in the figure. The ball is displaced by the angle θ from equilibrium position & then released. Maximum velocity of block during subsequent motion of the system after release of ball is

Question

A small ball B of mass m is suspended with a light inelastic string of length L from a block A of same mass m which can move on a smooth horizontal surface as shown in the figure. The ball is displaced by the angle θ from equilibrium position & then released. Maximum velocity of block during subsequent motion of the system after release of ball is, g L 1 - cos θ 1 / 2, 2 g L 1 - cos θ 1 / 2, g L cos θ 1 / 2, Insufficient information to decide

MARKS App · Accepted Answer

KE gain by system = m g L 1 - cos θ half of that will be shared by block 1 2 mv 2 = 1 2 mg L 1 - cos θ ⇒ v = gL 1 - cos θ

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