A uniform disc of mass m and radius R rotates about a fixed vertical axis passing through its centre with angular velocity omega. A particle of same angular velocity mass m and moving horizontally with velocity 2omegaR towards centre of the disc collides and sticks to its rim. The angular velocity of the disc after the particle sticks to it is
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Since the particle of mass hits the rim radially and sticks to it, there is no torque acting on the particle about the center O.Hence, angular momentum
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