Consider a situation in which a ring, a solid cylinder and a solid sphere roll down on the same inclined plane without slipping. Assume that they start rolling from rest and having identical diameter. The correct statement for this situation is (a) All of them will have same velocity. (b) The ring has greatest and the cylinder has the least velocity of the centre of mass at the bottom of the inclined plane. (c) The sphere has the greatest and the ring has the least velocity of the centre of mass at the bottom of the inclined plane. (d) The cylinder has the greatest and the sphere has the least velocity of the centre of mass at the bottom of the inclined plane.

Answer: (c). v² = (2gh)/(1 + k²/R²): smaller k²/R² gives larger speed. Sphere 2/5 < cylinder 1/2 < ring 1. So the sphere is fastest and the ring slowest: answer (c).

Consider a situation in which a ring, a solid cylinder and a solid… | JEE Main 2021 (22 Jul, Shift 2)

Q55JEE Main 2021 · 22 JUL · SHIFT 2Medium

Rolling Motion

Consider a situation in which a ring, a solid cylinder and a solid sphere roll down on the same inclined plane without slipping. Assume that they start rolling from rest and having identical diameter.

The correct statement for this situation is

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Answer: (c)

$v^2 = \dfrac{2gh}{1 + k^2/R^2}$ : smaller $k^2/R^2$ gives larger speed.
Sphere $\frac{2}{5}$ < cylinder $\frac{1}{2}$ < ring $1$ .
So the sphere is fastest and the ring slowest: answer (c).

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Rolling Motion question from JEE Main 2021 (22 Jul, Shift 2)

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