In the given figure if system is released from rest,then find the minimum value of coefficient of friction such that block A of mass 2m does not move.

In the diagram shown, the block A and B are of the same mass M and the mass of the block C is (M_(1)) . Friction is present only under the block A. the whole system is suddenly released from the state of rest. The minimum coefficient of friction on keep the block A in the state of rest is equal to .

A light thread is wound on a disk of mass m and other end of thread is connected to a block of mass m, which is placed on a rough ground as shown in diagram. Find the minimum value of coefficient of friction for which block remain at rest.

The system is pulled to an elongation A and Then released. Find the minimum value of coefficient of friction between m and M for which m doesn't slips over M.

A block of mass M is placed on a rough horizontal surface. It is connected by means of a light inextensible string passing over a smooth pulley . The other end of string is connected to a block of mass m. There is no friction between vertical surface and block m The minimum value of coefficient of friction mu such that system remains at rest , is

Two blocks of mass M and 2M are connected to the two ends of a light, inextensible string passing over an ideal pulley as shown in figure. The system is released from rest. (a) One second after the system is released, a particle of mass M hits the block of mass M and sticks to it. The particle hits the block with a speed of 10 m/s while travelling downward. Find the total distance travelled by block of mass 2M after it is released. (b) One second after the system is released, a particle of mass 2M hits the block of mass M and sticks to it. The particle hits the block with a speed of 10 m/s while travelling in upward direction. Find distance travelled by the block of mass 2M after it is released to the time it comes to rest for the first time (g = 10 m//s)^(2)

In the system shown in figure, the block A is released from rest. Find Tension in the string.

A wedge of mass 2m and a cube of mass m are shown in figure. Between cube and wedge, there is no friction. The minimum coefficient of friction between wedge and ground so that wedge does not move is

In the arrangement shown in figure pulley P can move whereas other two pulleys are fixed. All of them are light. String is light and inextensible. The coefficient of friction between 2 kg and 3 kg block is mu = 0.75 and that between 3 kg block and the table is mu = 0.5 . The system is released from rest (i) Find maximum value of mass M, so that the system does not move. Find friction force between 2 kg and 3 kg blocks in this case. (ii) If M = 4 kg, find the tension in the string attached to 2 kg block. (iii) If M = 4 kg and mu_(1) = 0.9 , find friction force between the two blocks, and acceleration of M. (iv) Find acceleration of M if m_(1) = 0.75, m_(2) = -0.9 and M = 4 kg.

Initially spring is in natural length and block of mass m is released from rest what should be the minimum value of M (in kg) to just move the 2kg block. If this minimum value is (x)/(8) kg. Find x