Constraint Rotation

A uniform rod of mass m and length 2l lies on a smooth horizontal surface. A particle of mass m is connected to a string of length l whose other end is connected to the rod. Initially the string is taut and both rod and string lies in the same horizontal plane with \(90^\circ\) angle between them If the particle is given initially a velocity v perpendicular to the string then just after giving velocity v to the particle...

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