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A uniform square plate of mass m=100gm a...

A uniform square plate of mass m=100gm and side a=24cm can rotate about a smooth vertical axis passing through one edge.It is initially at rest.A particle of mass m=100gm is moving horizontally and perpendicular to the plane of the plate with velocity u=70cm/s .It collides with the plate elastically at the centre of the plate.Find the angular velocity (in rad/s) of the plate just after collision?

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