A uniform chain of length l and mass m lies on a smooth table. A very small part of this chain hangs from the table. It begins to fall under the weight of hanging part. Find the velocity of chain when the length of hanging part becomes y.

A uniform rope of length l and mass m lies on a smooth horizontal table with its length perpendicular to the edge of the table and a small part of the rope having over the edge. The rope starts sliding from rest under the weight of the over hanging end. The velocity of the rope when the length of the hanging part is . x

A uniform rope of length l and mass m lies on a smooth horizontal table with its length perpendicular to the edge of the table and a small part of the rope having over the edge. The rope starts sliding from rest under the weight of the over hanging end. The velocity of the rope when the length of the hanging part is . x

A uniform chain of length l and mass m is placed on a smooth table with one-fourth of its length hanging over the edge. The work that has to be done to pull the whole chain back onto the table is :

A uniform chain of length l and mass m is placed on a smooth table with one-fourth of its length hanging over the edge. The work that has to be done to pull the whole chain back onto the table is :