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Q.

A homogeneous cylinder of mass M and radius R is pulled on a horizontal plane by a horizontal force F acting through its centre of mass. Assuming rolling without slipping the angular acceleration of the cylinder is

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a

3F / 2MR

b

2F / 3MR

c

F / 2MR

d

3F / 4MR

answer is B.

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Detailed Solution

Torque about COM = f R.: FromWe can write , f R =  (1/2 m R2) αf = 1/2 m R α------- (1)From Fnet = m ac ,F -f = m ac ---------------- (2)Also, ac = R α ---------------- (3)Solving, α = 2F / 3m R
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