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 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)

Find the acceleration of masses m_(1) and m_(2) moving down the smooth incline plane. The string and the pulley are masseless and frictionless.

A pulley fixed to the ceiling carries a thread with bodies of masses m_(1) and m_(2) attached at its ends. The masses of the pulley and thread are negligible, friction is absent. Find the acceleration of the centre of mass (a_("cm")) of this system.

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 the figure, the blocks have masses 3m,m and 2m , the friction is absent, the masses of the pulleys and the threads are negligible. Find the acceleration of mass 3m .

A pulley fixed to the ceiling of an elevator car carries a thread whose ends are attached to the masses m_(1) and m_(2) . The car starts going up with an acceleration a_(0) . Assuming the masses of the pulley and the thread as well as the friction to be negligible, find: (a) the acceleration of the load m_(1) relative to the elevator shaft and relative to the car (b) the force exerted by the pulley on the ceiling of the car. Given m_(1) gt m_(2) .

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.

When we ignore friction and mass of pulley what would be the accelerations of the two blocks m_(1) and m_(2) .