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  • A sphere starts rolling on rough inclined plane of inclination . Find its acceleration of C.M.?<div class='qna

A sphere starts rolling on rough inclined plane of inclination \theta. Find its acceleration of C.M.?

Option: 1

\mathrm{5 g \sin \theta}


Option: 2

\mathrm{\frac{7}{9} \sin \theta}


Option: 3

\mathrm{\frac{5}{7} g \sin \theta}


Option: 4

\mathrm{g\, \sin \theta}


Answers (1)

best_answer

Using,
       \mathrm{a_{C M} =\frac{\text { unbalanced load }}{\text { total inertia }} }
                 \mathrm{=\frac{m g \sin \theta}{m+\frac{I}{R^{2}}} }
                \mathrm{ =\frac{m g \sin \theta}{m+\frac{2}{5} \frac{m R^{2}}{R^{2}}}=\frac{5}{7} \, g \sin \theta } Ans.

Posted by

Kuldeep Maurya

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