In an At wood's machine the pulley mounted in horizontal frictionless bearings has a radius R=0.05m.The cord passing over the pulley carries a block of mass `m_(1) =0.75` kg at one end and a block of mass`m_(2) = 0.50` kg on the other end . When set free from rest, the heavier block is observed to fall' a distance 1 metre in 10 seconds. Find the moment ofinertia of the pulley.

A block A of mass 7 kg is placed on a frictionless table. A thread tied to it passes over a frictionless pulley and carries a body B of mass 3 kg at the other end. The acceleration of the system is (given g=10ms^(-2) )

Two blocks are connected by a string that passes over a pulley of radius R and moment of inertia I . The block of mass m_(1) sides on a frictionless, horizontal surface, the block of mass m_(2) is suspended from the string. Find the acceleration a of the blocks and the tension T_(1) and T_(2) assuming that the string does not slip on the pulley.

In figure m_(1)= 1 kg and m_(2)= 4 kg Find the mass m of the hanging block which will provent the smaller block from slipping over the triangular block .All the surface are frictionless and the string and the pulleys are light

A block of mass m_(1) rests on a horizontal table. A string tied to the block is passed on a frictionless pulley fixed at the end of the table and to the other end of string is hung another block of mass m_(2) . The acceleration of the system is

Figure 5-20 shows a block S (the sliding block) with mass M = 3.3 kg. The block is free to move along a horizontal frictionless surface and connected, by a cord that wraps over a frictionless pulley, to a second block H (the hanging block), with mass m = 2.1 kg. The cord and pulley have negligible masses compared to the blocks (they are "massless"). The hanging block H falls as the sliding block S accelerates to the right. Find (a) the acceleration of block S, (b) the acceleration of block H, and ( c ) the tension in the cord. Figure 5.20 A block S of mass M is connected to a block H of mass m by a cord that wraps over a pulley.

A string with one end fixed on a right well , passing over a fixed frictionless pulley at a distance of 2 m from the well , has a point mass M = 2kg attached to the it at a distance of I m from the well . A mass m= 0.5 kg attached at the free end is field at rest as this the string is horizontal between the wall and the pulley when will be the speed with which the mass M with hit the well when the mass m is released ?

The pulley as shown in the figure, consists of two discs of different diameters attached to the same shaft. The rope connected to the block of mass m_(1) = 1 kg passes over a smooth peg, while the block of mass m_(2) = 3 kg hangs vertically from one disc . The moment of inertia of the pulley is 0 . 2 kg m^(2), r_(1) = 5 cm and r_(2) = 10 cm . Find the tensions in the ropes and the accelerations of the blocks .