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A solid cylinder of mass M and radius R ...

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

A

1/3 g sin`theta`

B

2/3 g sin`theta`

C

2/5 g sin`theta`

D

2/7 g sin`theta`

Text Solution

Verified by Experts

The correct Answer is:
B
Acceleration of a rolling body down an inclined plane is
`a=(gsintheta)/(1+k^(2)/R^(2))`
For solid cylinder, `k^(2)=R^(2)/2`
`therefore a=(gsintheta)/(1+1/2) = 2/3 g sintheta`
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