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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Aicharya · Accepted Answer

$a=g \sin \theta$ Case - (II) $a^{\prime}=\frac{g \sin \theta}{1+\frac{K^2}{R^2}} \quad\left(\text { here } \frac{K^2}{R^2}=\frac{2}{5}\right)$ $\begin{aligned} & \therefore \frac{a}{a}=\left(1+\frac{K^2}{R^2}\right) g \sin \theta \ & =\frac{1}{1+\frac{2}{5}}=\frac{1}{\frac{7}{5}}=\frac{5}{7}\end{aligned}$

The ratio of the acceleration for a solid sphere (mass ‘ m ' and radius R ) rolling down an incline of angle…

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