A uniform rod of length `L` lies on a smooth horizontal table. The rod has a mass `

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A uniform rod of length `L` lies on a smooth horizontal table. The rod has a mass `M`. A particle of mass `m` moving with speed `v` strikes the rod perpendicularly at one of the ends of the rod sticks to it after collision. Find the velocity of the centre of mass `C` and the angular, velocity of the system about the centre of mass after the collision.
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