Find the acceleration of `m_(1)` and `m_(2)` in an Atwood's Machine if there is friction present between surface of pulley and the thread and thread does not slip over the surface ofpulley. Moment of inertia of pulley is I.

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.

A pulley fixed to the ceiling carries a thread with bodies of masses m_1 and m_2 attached to its ends. The masses of the pulley and the thread are negligible, friction is absent. Find the acceleration w_C of the centre of inertia of this system.

In the arrangement shown in fig the bodies have masses m_(0), m_(1) and m_(2) the friction is absent the masses of pulleys and the threads are negligible find the acceleration of the body m_(1)

In figure , find the acceleration of m assuming that there is friction between m and M,and all other surface are smooth and pulleys light and m = coeffiicient of friction between m and M .

(1) Find the acceleration of centre of mass of the system shown. (ii) Find the normal reaction applied by the pulley on the thread.

Find the relation between acceleration of the two blocks m_(1) and m_(2) . Assume pulleys are massless and frictionless and the strings are inextensible .

A fixed pulley carries a weightless thread with masses m_(1) and m_(2) at its ends. There is friction between the thread and the pulley. It is such that the thread starts slipping when the ratio m_(2)//m_(1)=eta_(0) find : (a) The friction coefficient (b) The acceleration of the mass when m_(2)//m_(1)=eta gt eta_(0)

In the figure, the massless and inextensible thread does not slip on the pulley. It is wound over pulley as shown. If the system is released from rest,