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Rotational Dynamics — Physics STD 12 Science — Question

Maharashtra BoardEnglish MediumSTD 12 SciencePhysicsRotational Dynamics1 Mark
Question
A spherical shell and a uniform solid sphere roll down the same inclined plane. Compare their accelerations.
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Answer

The ratio of the accelerations, in the usual notation,
$\frac{a_{\text {shell }}}{a_{\text {sphere }}}=\frac{\frac{3}{5} g \sin \theta}{\frac{5}{7} g \sin \theta}=\frac{21}{25}=0.84$

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