A thread is passing through a hole at the centre of frictionless table. At the upper end a block of mass 0.5kg is tied and a block of mass 8.0kg 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 8.0kg to 1.0kg, what is the fractional change in the radius and the angular velocity of the smaller mass so that it balances the hanging mass again?

