Wedge Problems #!#Block sliding down a smooth fixed inclined surface #!#Two blocks on a wedge

Figure shows a fixed wedge on which two blocks of masses 2 kg and 3 kg are placed on its smooth inclined surfaces. When the two blocks are released from rest, find the acceleration of centre of mass of the two blocks.

A block of mass M slides down a rough inclined surface of inclination theta and reaches the bottom at speed at 'v' . However , if it slides down a smooth inclined surface of same length and same inclination , it reaches the bottom with the speed kv. Coefficient of friction between the block and the rough incline is :

In the figure the wedge is pushed with an acceleration of sqrt3 m//s ^(2) . It is seen that the block start climbing up on the smooth inclined face of wedge . What will be the time taken by the block to reach the top?

Block A of mass m is placed over a wedge of same mass m. Both the block and wedge are placed on a fixed inclined plane. Assuming all surfaces to be smooth calculate the displacement of the block A in ground frame in 1s .

A triangular wedge is placed on smooth horizontal surface. A block is placed on wedge as shown in the figure. Coefficient of friction between block and wedge is mu . Initially system reamins at rest.

In the fig the wedge is pushed with a an acceleration of 10sqrt(3)m//s^(2) it is seen that the block starts climbing upon the smooth inclined face of wedge What will be the time taken by the block to rach the top ?

A wedge of mass m is placed on a horizontal smooth table. A block of mass m is placed at the mid point of the smooth inclined surface having length L along its line of greatest slope. Inclination of the inclined surface is theta= 45^(@) . The block is released and simultaneously a constant horizontal force F is applied on the wedge as shown. (a) What is value of F if the block does not slide on the wedge? (b) In how much time the block will come out of the incline surface if applied force is 1.5 times that found in part (a)

In the system shown block is released from rest on the inclined surface of the wedge. The acceleration of the wedge will be (assume friction to be absent)

Find the relation among the acceleration of blocks A and B constrained to move along the inclined surfaces of the fixed wedge shown in figure