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A solid wooden door 1 m wide and 2 m hig...

A solid wooden door 1 m wide and 2 m high is hinged along one side and has a total mass of 50 kg . Initially open and at rest , the door is struck at its centre by a handful of sticky and mud of mass `0.5` kg travelling at 12 m/s just before impact . Find the final angular velocity of the door .
`"["(72)/(403)` rad/s]

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