Two loads of the same mass are tied to the ends of a weightless inextensible thread passed through a weightless pulley (Fig. ). Initially, the system is at rest,and the loads are at the same level. Then the right load abruptly acquires a horizontal velocity v in the plane of the figure. Which load will be lower in a time?

Two blocks of masses 2 kg and 1 kg respectively are tied to the ends of a string which passes over a light frictionless pulley . The masses are held at rest at the same horizontal level and then released . The distance traversed by centre of mass in 2 s is ( g = 10 m//s^(2) )

Two identical blocks each of mass ''M'' are tied to the ends of a string and the string is laid over a smooth fixed pulley. Initially the masses are held at rest at the same level. What fraction of mass must be removed from one block and added to the other, so that is has an acceleration of 1//5^(th) of the acceleration due to gravity ? .

Two unequal masses of 1 kg and 2 kg are attached at the two ends of a light inextensible string passing over a smooth pulley as shown in figure. If the system is released from rest, find the work done by string on both the blocks in 1 s. (Take g = 10 ms^(-2) )

A ball is tied by a weightless inextensible thread to a fixed cylinder of radius r. At the initial moment the thread is wound so that the ball touches the cylinder. Then the ball acquires a velocity v in the raidal direction, and the thread starts unwinding (Fig). Determine the length l of the upwound segment of the thread by the instant of time t, neglecting the force of gravity.

A block is connected to an identical block through a weightless pulley by a weightless inextensible thread of length 2l (Fig). The left block rests on a table at a distance l from its edge, while the right block is kept at the same level so that the thread is unstretched and does not sag, and then released. What will happen first will the left block reach the edge of the table (and touch the pulley) or the right block hit and table?

A person hoists one of two loads of equal mass at a constant velocity v (Fig). At the moment when the two loads are at the same height h, the upper pulley is released (is able to rotate without friction like the lower pulley). Indicate the load which touches the floor first after a certain time t, assuming that the person continues to slack the rope at the same constant velocity v. The masses of the pulleys and the ropes and the elongation of the ropes should be neglected.

A system of two blocks A and B are connected by an inextensible massless string as shown in Fig. The pulley is massless and frictionless. Initially, the system is at rest. A bullet of mass m moving with a velocity u as shown hits block If and gets embedded into it. The impulse imparted by tension force to the block of mass 3m is

Two masses M and m are connected by a light inextensible string which passes over a small pulley as shown in the diagram. If the mass m is moving downward with a velocity v when the string makes an angle of 45^(@) with the horizontal, find the total K.E. of the two masses. AsSigmae that the mass M moves horizontally.