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Question

A hollow cylinder of mass M and radius R is pulled by a horizontal force F acting at its centre of mass on a horizontal surface where the coefficient of friction is μ.
If hollow cylinder is performing pure rolling then frictional force f will be :
131043_b95622dfa0a94128bd1779e35b726cf6.PNG

A
F
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B
F2
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C
F3
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D
2F
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Solution

The correct option is B F2
There are two horizontal force on the hollow cylinder. One is friction force and other is F, in opposite direction. Taking the torque around top point ( there will be one pseudo force but that would pass via top point so there will no effect of that force in torque) .
Then, net torque around top point =0
F×Rf×2R=0
f=F2

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