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

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Infinity Learn · Accepted Answer

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 $$getm2g-m1g=m1a+m2a$$⇒  $$a=m2-m1m1+m2$$·$$g=6-44+6$$×$$g=g5$$

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

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