A sphere of mass 2kg and radius 0.5 m is rolling with an initial speed of 1 ms–1 goes up an inclined plane which makes an angle of 30° with the horizontal plane, without slipping. How low will the sphere take to return to the starting point A ?
(1) 0.60 s
(2) 0.52 s
(3) 0.57 s
(4) 0.80 s
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Correct option is (3) 0.57 s
\( a=\frac{g\sin \theta}{1+\frac{I}{mR^2}} \)
\( \frac{5}{7}×\frac{10}{2} =\frac{25}{7}\)
\( t=\frac{2v_0}{a}=\frac{2×1×7}{25} \)
=0.56 s
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