A chain of length `l` and mass `m` lies in a pile on the floor. If its end A is raised vertically at a constant speed `v_0`, express in terms of the length y of chain which is off the floor at any given instant.
(a) The magnitude of the force P applied to end A.
(b) Energy lost during the lifting of the chain.

A chain of length l and mass m lies on the surface of a smooth sphere of radius R>l with one end tied to the top of the sphere.

A uniform chain of length l and mass m overhangs a smooth table with its two third part lying on the table. Find the kinetic energy of the chain as it completely slips off the table.

A uniform chain of length l and mass m overhangs a smooth table with its two third part lying on the table. Find the kinetic energy of the chain as it completely slips off the table.

A very flexible uniform chain of mass M and length l is suspended vertically in a lift so that its lower end is just touching the surface of the floor. When the upper end of the chain is released, it falls with each link coming to rest the instant it strikes the floor of the lift.Find the force exerted by the floor of the lift on the chain at the moment, when one fourth of the chain has already rested on the floor. Assume that lift is moving up with an acceleration g/2.

A chain of length L and mass m is placed upon a smooth surface. The length of BA is (L-b) . Calculate the velocity of the chain when its end reaches B

A chain of length l and mass m lies of the surface of a smooth hemisphere of radius Rgtl with one end tied to the top of the hemisphere. Taking base of the hemisphere as reference line, find the gravitational potential energy of the chain.

A chain of length l and mass m lies of the surface of a smooth hemisphere of radius Rgtl with one end tied to the top of the hemisphere. Taking base of the hemisphere as reference line, find the gravitational potential energy of the chain.

A rod of length 2 m is held vertically with one of its end on the floor. It is then allowed to fall. Calculate the speed of the other end when it strikes the floor. Assume that the end of the rod which is on the floor does not slip.