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 A23g 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