Two masses `m_(1)` kg and `m_(2)` kg passes over an atwoods machine. Find the ratio of masses `m_(1)` and `m_(2)` so that string passing over the pulley will just start slipping over its surface. The friction coefficient between the string and pulley surface is 0.2.

A situation is shown in figure-2.15, Find the acceleration of masses m_(1) abd m_(2) mass of pulley is m_(P) . Consider the string going over the pulley is massless and frictionless.

Two blocks of masses M_(1)=4 kg and M_(2)=6kg are connected by a string of negligible mass passing over a frictionless pulley as shown in the figure below. The coefficient of friction between the block M_(1) and the horizontal surface is 0.4. when the system is released, the masses M_(1) and M_(2) start accelrating. What additional mass m should be placed over M_(1) so that the masses (M_(1)+m) slide with a uniform speed?

Find the mass (in kg) of the hanging block which will prevent the smaller block from slipping over the triangular block. All the surfaces are frictionless and the strings and the pulleys are light. Given m=M=1kg,cottheta=2 ,

Two blocks of masses m_(1)=2 kg and m_(2)=5 kg hang over a massless pulley as shown in the fig A force F_(0)=100N acting at the axis of the pulley accelerates the system upwards Find (a) the acceleration of each mass (b) the tension in the string.

Two masses of 10 kg and 20 kg are connected with an inextensible string passing over two smooth pulleys as shown in the figure. The acceleration of 20 kg mass will be :

Two masses m_(1) and m_(2) are connected by a light string passing over a smooth pulley. When set free m_(1) moves downward by 2 m in 2 s. The ratio m_(1)//m_(2) is