Two block of same mass'm' are joined with an ideal spring of spring constant k and sept on a rough surface as shown in figure. The spring is initially unstretched and coefficient of friction between the blocks and horizontal surface is `mu` and `2 mu` respectively. What should be the maximum speed of block 'A' such that the block 'B' does not move ?

Two block of masses m1 and m2 are connected with a massless unstretched spring and placed over a plank moving with an acceleration 'a' as shown in figure. The coefficient of friction between the blocks and platform is mu

A block is kept on a rough horizontal surface as shown. Its mass is 2 kg and coefficient of friction between block and surface (mu)=0.5. A horizontal force F is acting on the block. When

The coefficient of static friction between the two blocks shown in figure is mu and the table is smooth. What maximum horizontal forced F can be applied to he block of mass M so that the block move together?

A block of mass m is moving with a speed v on a horizontal rought surface and collides with a horizontal monted spring of spring constant k as shown in the figure .The coefficient of friction between the block and the floor is mu The maximum cobnpression of the spring is

The blocks ov mass m_(1)kg and m_(2)=2kg are connected by an ideal spring, rest on a rough horizontal surface. The spring is unstressed. The spring constant of spring is K=2N//m . The coefficient of friction between blocks and horizontal surface is mu=(1)/(2) . Now the left block is imparted a velocity u towards right as shown. The largest value of u( in m//s) such that the block of mass m_(2) never moves is ( Take g=10m//s^(2))

Two blocks of mass 10 kg and 2 kg are connected by an ideal spring of spring constant 1000 N/m and the system is placed on a horizontal surface as shown. The coefficient of friction between 10 kg block and surface is 0.5 but friction is assumed to be absent between 2 kg and surface. Initially blocks are at rest and spring is unstretched then 2 kg block is displaced by 1 cm to elongate the spring then released. Then the graph representing magnitude of frictional force on 10 kg block and time t is : (Time t is measured from that instant when 2 kg block is released to move)

A block of mass m is attached to one end of a mass less spring of spring constant k. the other end of spring is fixed to a wall the block can move on a horizontal rough surface. The coefficient of friction between the block and the surface is mu then the compession of the spring for which maximum extension of the spring becomes half of maximum compression is .

A block of mass m attached with a an ideal spring of force constant k is placed on a rough inclined plane having inclination theta with the horizontal and coefficient of friction mu=1//2 tan theta , Initially the block is held stationary with the spring in its relaxed state, find the maximum extension in the spring if the block is released.

Two block of masses M and m are connected to each other by a massless string and spring of force constant k as shown in the figure. The spring passes over a frictionless pulley connected rigidly to the egde of a stationary block A. The coefficient of friction between block M and plane horizontal surface of A is mu . The block M slides over the horizontal top surface of A and block m slides vertically downward with the same speed. The mass M is equal to