Two bodies of masses 4 kg and 6 kg are tied to the ends of a massless string. The string passes over a pulley which is frictionless (see figure). The acceleration of the system in terms of acceleration due to gravity g is

Given,  m1=4 kg,m2=6 kg and a=?The free body diagram of given system is shown belowThe balancing equations for given system are          T-m1g=m1a                                     …(i)and   m2g-T=m2a                                      … (ii)Adding Eqs. (i) and (ii), we getm2g-m1g=m1a+m2a⇒  a=m2-m1m1+m2·g=6-44+6×g=g5