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MHT CET 2023 (14 May, Shift 2) · Rolling Motion

Rolling Motion question from MHT CET 2023 (14 May, Shift 2)

Q42MHT CET 2023 · 14 MAY · SHIFT 2Medium

Rolling Motion

A solid cylinder and a solid sphere having same mass and same radius roll down on the same inclined plane. The ratio of the acceleration of the cylinder ' $a_c$ ' to that of sphere ' $a_s$ ' is

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Answer: (d)

Rolling acceleration: $a = \dfrac{g\sin\theta}{1 + k^2/R^2}$ .
Cylinder: $a_c = \frac{2}{3}g\sin\theta$ ; sphere: $a_s = \frac{5}{7}g\sin\theta$ .
$\dfrac{a_c}{a_s} = \dfrac{14}{15}$ .
So the answer is (d).

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