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.

Options

A. `(q sin theta)/(1 + (MR^(2))/I)`
B. `(g sin theta)/(1-I/(MR^(2)))`
C. `(q sin theta)/(1-(MR^(2))/I)`
D. `(q sin theta)/(1+ I/(MR^(2))`

Answer

D

Explanation

Acceleration of a uniform body of radius R and mass M and moment of inertia I rolling down (without slipping) an inclined plane making an angle `theta` with the horizontal is given by:`a=(gsin theta)/(1+ I/(MR^(2)))`