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A particle A of mass 2m is held on a smo...

A particle A of mass 2m is held on a smooth horizontal table and is attached to one end of an inelastic string which runs over a smooth light pulley at the edge of the table. At the other end of the string there hangs another particle B of mass m, the distance from A to the pulley is l. The particle A is then projected towards the pulley with velocity u.

(a) Find the time before the string becomes taut, and shown that after the string becomes taut, the initial velocity of A and B is `4u//3`.
(b) Find the common velocity when A reaches the pulley (assume that B has not yet reached the ground).

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