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A round uniform body of radius R, mass M...

A round uniform body of radius `R`, mass `M` and moment of inertia 'I' rolls down (without slipping) and inclined plane making an angle `theta` with the horizontal. Then its acceleration is.

A

`(gsintheta)/(1+(I)/(MR^(2)))`

B

`(gsintheta)/(1+(MR^(2))/(I))`

C

`(gsintheta)/(1-(I)/(MR^(2)))`

D

`(gsintheta)/(1-(MR^(2))/(I))`

Text Solution

Verified by Experts

`a=(gsin theta)/(1+k^(2)//R^(2)) =(g sin theta)/(1+(mk^(2))/(mR^(2)))=(g sin theta)/(1+(I)/(mR^(2)))`
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