A bucket of mass 8 kg is supported by a light rope wound around a solid wooden cylinder of mass 12 kg and radius 20 cm free to rotate about its axis. A man holding the free end of the rope, with the bucket and the cylinder at rest initially, lets go the bucket freely downwards in a well 50 m deep. Neglecting friction, obtain the speed of the bucket and the angular speed of the cylihder just before the bucket enters water.

A bucket of mass 8 kg is supported by a light rope wound around a soli

1.	A bucket of mass 8 kg is supported by a light rope wound around a solid wooden cylinder of mass 12 kg and radius 20 cm free to rotate about its axis. A man holding the free end of the rope, with the bucket and the cylinder at rest initially, lets go the bucket freely downwards in a well 50 m deep. Neglecting friction, obtain the speed of the bucket and the angular speed of the cylihder just before the bucket enters water.
Answer» SOLUTION :`m_(1)gh = (1//2) m_(1)v^(2) + (1//2) Iomega^(2), I=(1//2) m_(2)^(2) , OMEGA = v//r , m_(1)gh = 7v^(2), v = 23.66 ms^(-1), omega = v//r = 118.3 rad s^(-1)`