Two particles of masses `m_(1)` and `m_(2)` are connected by a light and inextensible string which passes over a fixed pulley. Initially, the particle `m_(1)` moves with velocity `v_(0)` when the string is not taut. Neglecting fricting in all contacting surface, find the velocities of the particles `m_(1)` and `m_(2)` just after the string is taut.