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Q.

A uniform solid cylinder of mass m and radius R is placed on a rough horizontal surface. A horizontal constant force F is applied at the top point P of the cylinder so that it starts pure rolling. The acceleration of the cylinder is 

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a

4F/3m

b

F/m

c

F/2m

d

2F/3m

answer is B.

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Detailed Solution

Translation, F−FR= Macm

Rotational, (F+ FR)R = I α = MR2/2α  

 F+ FR=M.acm/2

After solving,

acm=4FM

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