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A mass M is supported by a massless string wound round a uniform cylinder of mass M and radius E as shown in fig. On releasing the mass from rest, it

wiII fall with acceleration

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a
g
b
g /2
c
g /3
d
2g/ 3

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detailed solution

Correct option is D

Mgh=12Mv2+12Iω2=12Mv2+1212MR2ω2=12Mv2+14Mv2=34Mv2v=2ah∴ Mgh=34M×2aha=23g


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