A smooth ring of mass M is threaded on a string whose ends are then threaded over two smooth fixed pulleys with masses m and m' tied on to them respectively. The various portions of strings are vertical. The system is free to move. What is the condition if M alone is to remain at rest ?

A smooth massless string passes over a smooth fixed pulley. Two masses m_1 and m_2 (m_1 > m_2) are tied at the two ends of the string. The masses are allowed to move under gravity starting from rest. The total external force acting on the two masses is

A smooth ring of mass m can slide on a fixed horizontal rod. A string tied to the ring pases over a fixed pulley B and carries a block C of mass 2m as shown below. As the ring starts sliding

two masses 2m and m are attached to the the ends of a string while passing over a smooth Pulley of mass m and radius R . The ratio of tensions in both the strings is

A block of mass 2 m hangs by an inextensible light string that passes over a smooth pulley. Another mass m hangs from the other end of the string and is connected to a vertical massless spring. The system is stationary. Just after the string is cut, the accelerations of m and 2m, respectively, are -

Two identical blocks each of mass ''M'' are tied to the ends of a string and the string is laid over a smooth fixed pulley. Initially the masses are held at rest at the same level. What fraction of mass must be removed from one block and added to the other, so that is has an acceleration of 1//5^(th) of the acceleration due to gravity ? .