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Question

# A circular pulley of mass ′M′ and radius ′R′, is hinged at the centre. A long string is wound over this disc and two bodies of mass m1 and m2 are attached at its free ends. Now the bodies are released. Find the acceleration of each body.

A
2[m1m2]gM+(m1+m2)
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B
[m1m2]gM+2(m1+m2)
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C
2[m1m2]gM+2(m1+m2)
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D
[m1m2]gM+(m1+m2)
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Solution

## The correct option is C 2[m1−m2]gM+2(m1+m2)Pulley: τ=T1R−T2R Iα=(T1−T2)R 12MR2×aR=(T1−T2)R Ma2=T1−T2 From (i) and (ii) T1−T2=m1g−m1a−m2g−m2a Ma2+(m1+m2)a=(m1−m2)g a=2(m1−m2)gM+2(m1+m2)

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