A sphere of mass 2 kg 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 long will the sphere take to return to the starting point A?
The acceleration 'a' is calculated as: a = (g sinθ) / (1 + I/mr²) = (10 * sin30°) / (1 + 2/5) = 25/7 m/s² The time 't' is calculated as: t = 2v / a = (2 * 1) / (25/7) = 0.57 s
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