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Q.

A solid cylinder of mass M and radius R rolls without slipping down an inclined plane making an angle θ with the horizontal. Then its acceleration is 

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a

13g sin θ

b

23gsin θ

c

25g sin θ

d

27g sin θ

answer is B.

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Detailed Solution

Acceleration of a rolling body down an inclined plane is

   a = g sin θ1+ k2R2

For solid cylinder, k2 = R22

a = g sin θ1+12 = 23g sin θ

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