A rope passes over a pulley, which is sufficiently high. Two monkeys of equal weights climb the rope from opposite ends, one of then climbing quickly than the other, relative to the rope. Which of the monkeys will reach the top first ? Assume that pulley is weightless, while the rope is weightless as well as inextensible.

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 hanges vertically. A constant magnetic field B exists perpendicular to the table. If the system is released from rest, calculate. the acceleration of the mass at the instant when the velocity of the rod is half the terminal velocity.

A monkey of mass 40kg climbs on a rope (Fig. 5.20) which can stand a maximum tension of 600 N. in which of the following cases will the rope break: the monkey:-

Two girls, each of weight 400 N climb up a rope through a height of 8 m. We name one of the girls A and the other B. Girl A takes 20 s while B takes 50 s to accomplish this task. What is the power expended by each girl?

A circus artist is climbing a 20m long rope, which is tightly stretched and tied from the top of a vertical pole to the ground. Find the height of the pole, if the angle made by the rope with the ground level is 30^@ (see fig.).

A monkey of mass 40kg climbs on a rope (Fig. 5.20) which can stand a maximum tension of 600 N. in which of the following cases will the rope break: the monkey:- climbs up with a uniform speed of 5 m s^-1

A monkey of mass 40kg climbs on a rope (Fig. 5.20) which can stand a maximum tension of 600 N. in which of the following cases will the rope break: the monkey:- climbs down with an acceleration of 4 m s^-2

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 hanges vertically. A constant magnetic field B exists perpendicular to the table. If the system is released from rest, calculate. the terminal velocity achieved by the rod.

Answer the following :- In Fig. 6.13(i) the man walks 2 m carrying a mass of 15 kg on his hands. In Fig. 6.13(ii), he walks the same distance pulling the rope behind him. The rope goes over a pulley, and a mass of 15 kg hangs at its other end. In which case is the work done greater ?