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A thread is passing through a hole at th...

A thread is passing through a hole at the centre of frictionless table. At the upper end a block of mass `0.5 kg` is tied and a block of mass `8.0 kg` is tied at the lower end which is freely hanging. The smaller mass is rotate, on the table with a constant angular velocity about the axis passing through the hole so as to balance the heavier mass. If the mass of the hanging block is changed from `8.0 kg` to `1.0 kg`, what is the fractional change in the radius and the angular velocity of the smaller mass so that it balances the hanging mass again?

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