The following bodies, 1 a ring 2 a disc 3 a solid cylinder 4 a solid sphere, of same mass m and radius R are allowed to roll down without slipping simultaneously from the top of the inclined plane. The body which will reach first at the bottom of the inclined plane is [Mark the body as per their respective numbering given in the question]

Question

The following bodies, 1 a ring 2 a disc 3 a solid cylinder 4 a solid sphere, of same mass m and radius R are allowed to roll down without slipping simultaneously from the top of the inclined plane. The body which will reach first at the bottom of the inclined plane is [Mark the body as per their respective numbering given in the question],

MARKS App · Accepted Answer

M g s i n θ R = m k 2 + m R 2 α α = Rg sin θ k 2 + R 2 ⇒ a = g sin θ 1 + k 2 R 2 t = 2 s a = 2 s g sin θ 1 + k 2 R 2 for least time, k should be least and we know k , is least for the solid sphere.

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