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A uniform disc is rotating at a constant speed in a vertical plane about a fixed horizontal axis passing through the centre of the disc. A piece of the disc from its rim detaches itself from the disc at the instant when it is at a horizontal level with the centre of the disc and moving upward. Then about the fixed axis, the angular speed of the remaining disc is
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remains unchanged

Since the broken away piece of mass m (say) has the same linear speed as it had before detaching from the disc, the angular speed of the remaining disc will remain unchanged.
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