A hanging body of mass m1 is pulled by a force F = m2 g acting on the massless inextensible smooth string. The acceleration of m1 is:
Here T = F = m2g
Now Free Body Diagram of block m1
T - m1g = m1a
(m2g - m1g) = m1a
a=(m2−m1)m1g
Two spheres of masses m1 and m2 (m1>m2) respectively are tied to the ends of a light, inextensible string which passes over a light frictionless pulley. When the masses are released from their initial state of rest, the acceleration of their centre of mass is: