Question

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

• A. $\frac{gsin\theta }{1+\frac{M{R}^2}{I}}$
• B. $\frac{gsin\theta }{1-\frac{I}{M{R}^2}}$
• C. $\frac{gsin\theta }{1-\frac{M{R}^2}{I}}$
• D. $\frac{gsin\theta }{1+\frac{I}{MR}}$

Answer 1

The correct option is D $\frac{gsin\theta }{1+\frac{I}{MR}}$

Acceleration of a uniform body of radius R and mass M and moment of inertia I rolls down (without slipping) an inclined plane making an angle $\theta$ with the horizontal is given by $a=\frac{gsin\theta }{1+\frac{I}{M{R}^2}}$