A sphere of mass 2 \(\mathrm{~kg}\) and radius 0.5 \(\mathrm{~m}\) is rolling with an initial sp....

A sphere of mass 2 \(\mathrm{~kg}\) and radius 0.5 \(\mathrm{~m}\) is rolling with an initial speed of 1 \(\mathrm{~m} / \mathrm{s}\) goes up an inclined plane which makes an angle of \(30^{\circ}\) with the horizontal plane, without slipping. How long will the sphere take to return to the starting point A? (Take \(g=10 \mathrm{~ms}^{-2}\))
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[@NishanthNaik.]

Hmm