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Two particles of masses m(1) and m(2) a...

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.

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