`(1)` Find the acceleration of centre of mass of the system shown.

`(ii)` Find the normal reaction applied by the pulley on the thread.

The acceleration of centre of mass of system as shown in figure is

Find the acceleration of the block of mass m in the arrangement shown in the following figures. The masses of the pulleys and the threads, as well as the friction are assumed to be negligible.

find the acceleration of the block of mass M in the situation shown in figure. All the surfaces are frictionless and the pulleys and the string are light.

find the acceleration of the block of mass M in the situation shown in figure. All the surfaces are frictionless and the pulleys and the string are light.

find the acceleration of the block of mass M in the situation shown in figure. All the surfaces are frictionless and the pulleys and the string are light.

The system shown in fig. is given an acceleration a towards left. Assuming all the surfaces to be frictionless, find the normal reactions applied by wedge on the sphere.

The system shown in fig. is given an acceleration a towards left. Assuming all the surfaces to be frictionless, find the normal reactions applied by wedge on the sphere.