Find the acceleration of the hemisphere immediately after the system is released from rest. There is no friction anywhere.

A sphere of mass M is held at rest on a horizontal floor. One end of a light string is fixed at a point that is vertically above the centre of the sphere. The other end of the string is connected to a small particle of mass m that rests on the sphere. The string makes an angle alpha = 30^(@) with the vertical. Find the acceleration of the sphere immediately after it is released. There is no friction anywhere.

A rod 'A' constrained to move in vertical direction rests on a wedge B, as shown in the Fig. Find the accelerations of rod A and wedge B instantaneously after system is released from rest, neglecting friction at all the contact surfaces.

In the system shown in the diagram all surfaces are smooth, pulley and strings are ideal. If vec( a_(A)) and vec( a_(B)) are the accelerations of the two blocks, then just after the system is released from rest, then choose correct statement(s) :

A rod and a block are of same mass. Initially rod is in horizontal position. What will be acceleration of tip of the rod just after the system is released from this position shown in figure.

What is the acceleration of block A when the system is released from rest ?