A uniform chain of length / and mass m is lying on a smooth table and one third of its length is hanging vertically down over the edge of the table. Calculate the work required to pull the hanging part on the table.

A 1.5 m long chain of mass 0.8 kg is kept on a horizontal table and a part of its length hangs from the edge of the table. When the length of the hanging part is one- third the total length of the chain, it starts sliding off the table. What will be the work done by friction when the whole length of the chain slides off the table ?

Part of a uniform chain of length L is hanging out of a table. If the coefficient of friction between the chain and the table is , mu estimate the maximum length of the chain that can hang without slipping.

A pair of parallel horizontal conducting rails of negligible resistance shorted at one end is fixed on a table. The distance between the rails is L.A conducting massless rod of resistance R can slide on the rails frictionlessly. The rod is tied to a massless string which passes over a pulley fixed to the edge of the table. A mass m, tied to the other end of the string, hangs vertically. A constant magnetic field B exists perpendicular to the table. If the system is released from rest. Calculate (a) the terminal velocity achieed by the rod and (b) the acceleration of the mass at the instant, when the velocity of the rod is half the terminal velocity.