1
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Question

# A light string passes over a frictionless pulley. To one of its ends a mass of 8kg is attached. To its other end two masses of 7kg each are attached. The acceleration of the system will be

A
10.2g
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B
5.10g
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C
20.36g
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D
0.27g
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Solution

## The correct option is D 0.27gFrom free body diagram of body A,m1a=T1−m1g ....(i)For body B,m2a=m2g+T2−T1 ....(ii)For body C,m3a=m3g−T2 .....(iii)On solving equations (i), (ii) and (iii), we geta=[(m2+m3)−m1]gm1+m2+m3As, m1=8kg, m2=m3=7kga=622g=0.27g

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