Question 369: Centre of Mass and Rotational Motion

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 $$	heta $$ with the horizontal. Then its acceleration is

Accepted Answer

A uniform body of radius R, mass M and moment of inertia $$I$$
rolls down (without slipping) an inclined plane making an angle 
ÃÂ¸ with the horizontal. Then its acceleration is
$$a = {{g\,\sin \,	heta } \over {1 + {I \over {M{R^2}}}}}$$

Answer

$${{g\,\sin 	heta } \over {1 - M{R^2}/I}}$$

Answer

$${{g\,\sin 	heta } \over {1 + I/M{R^2}}}$$

Answer

$${{g\,\sin 	heta } \over {1 + M{R^2}/I}}$$

Answer

$${{g\,\sin 	heta } \over {1 - I/M{R^2}}}$$

Centre of Mass and Rotational Motion

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

Choose the correct answer: