The ratio of the acceleration for a solid sphere ( mass m and radius R) rolling down an incline of angle $θ$ without slipping and slipping down the incline without rolling is

Q. The ratio of the acceleration for a solid sphere (mass

^{'} m^{'}

and radius

^{'} R^{'}

) rolling down an incline of angle '

θ

' without slipping and slipping down the incline without rolling is.

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

The correct option is D g sin θ1+IMRAcceleration 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 θ with the horizontal is given by a=g sin θ1+IMR2

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

The correct option is D $\frac{g s i n θ}{1 + \frac{I}{M R}}$
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 $θ$ with the horizontal is given by $a = \frac{g s i n θ}{1 + \frac{I}{M R^{2}}}$