Find the acceleration of masses `m_(1)` and `m_(2)` connected by an inextensible string, shown in figure-2.13(a). The string and pulley are assumed to be massless and frictionless.

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 situation is shown in figure-2.15, Find the acceleration of masses m_(1) abd m_(2) mass of pulley is m_(P) . Consider the string going over the pulley is massless and frictionless.

Two blocks of masses m and 3m are connected by an inextensible string and the string passes over a fixed pulley which is massless and frictionless. A bullet of mass m moving with a velocity 'u' hits the hanging block of mass 'm' and gets exbedded in it. Find the height through which block A rises after the collision.

In the arrangement shown, find the acceleration of each block, tension in the string and reaction in the pulley. The string and pulley are light (massless) (m_(1)gtm_(2)) . Neglect the friction in pulley.

The acceleration of the block (A) and (B) respectively in situation shown in the figure is: (pulleys and string are massless).

A system of two blocks A and B are connected by an inextensible massless string as shown in Fig. The pulley is massless and frictionless. Initially, the system is at rest. A bullet of mass m moving with a velocity u as shown hits block If and gets embedded into it. The impulse imparted by tension force to the block of mass 3m is

A lift can move upward or downward. A light inextensible string fixed from ceiling of lift when a frictionless pulley and tensions in string T_(1) . Two masses of m_(1) and m_(2) are connected with inextensible light string and tension in this string T_(2) as shown in figure. Read the questionbs carefully and answer If m_(1)+m_(2)=m and lift is moving with constant velocity then value of T_(1) :

A lift can move upward or downward. A light inextensible string fixed from ceiling of lift when a frictionless pulley and tensions in string T_(1) . Two masses of m_(1) and m_(2) are connected with inextensible light string and tension in this string T_(2) as shown in figure. Read the questionbs carefully and answer If m_(1) is very small as compared to m_(2) and lift is moving with constant velocity then value of T_(2) is nearly :

Two masses m_(1) and m_(2) are connected by a massless string as shown in Fig. Find the value of tension in the string if a force of 200 N is applied on (i) m_(1) and m_(2) .