A solid sphere, disc and solid cylinder all of the same mass and made of the same material are allowed to roll down (from rest) on the inclined plane, then (a) solid sphere reaches the bottom first (b) solid sphere reaches the bottom last (c) disc will reach the bottom first (d) all reach the bottom at the same time

Answer: (a). Rolling acceleration a = (gsin θ)/(1 + k²/R²). Sphere 2/5 is less than disc and cylinder 1/2, so the sphere has the largest a. So the solid sphere reaches the bottom first: answer (a).

A solid sphere, disc and solid cylinder all of the same mass and made… | NEET 1993 (AIPMT)

Q92NEET 1993 · AIPMTMedium

Rolling Motion

A solid sphere, disc and solid cylinder all of the same mass and made of the same material are allowed to roll down (from rest) on the inclined plane, then

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Answer: (a)

Rolling acceleration $a = \dfrac{g\sin\theta}{1 + k^2/R^2}$ .
Sphere $\frac{2}{5}$ is less than disc and cylinder $\frac{1}{2}$ , so the sphere has the largest $a$ .
So the solid sphere reaches the bottom first: answer (a).

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Rolling Motion question from NEET 1993 (AIPMT)

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