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Question

An unstretchable massless rope is wrapped around a solid cylinder of mass m and radius r. One end of the rope is fixed while cylinder is released from the rest. The acceleration of the centre of cylinder is

A
23g
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B
12g
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C
32g
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D
34g
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Solution

The correct option is A 23g
We know that the acceleration for such a case is
a=g1+Imr2(negative sign indicates the opposite direction)
for a solid cylinder we have I=12mr2
Thus we get
a=23g

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