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Two particles A and B, each of mass m, a...

Two particles `A` and `B`, each of mass `m`, are connected by a light rod of length `L` lying on a smooth horizontal surface. A particle of mass `m` moving with speed `v_(0)` strikes to the end of rod and sticks to `A` as shown . Find
(a) the velocity of the center of mass,
(b) the angular velocity about the center of mass of system (`A+B+` particle) and
(c) the linear speeds of `A` and `B` immediately after collision.

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