The following bodies, (1) a ring (2) a disc (3) a solid cylinder (4)… | JEE Main 2021 (17 Mar, Shift 1)

Q58JEE Main 2021 · 17 MAR · SHIFT 1Medium

Rolling Motion

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]

Numerical answer type. Work it out, then open the answer.

Show answer and solution

Answer: 4

Rolling acceleration $a = \dfrac{g\sin\theta}{1 + k^2/R^2}$ ; smallest $k^2/R^2$ reaches first.
Ring $1$ , disc $\frac{1}{2}$ , solid cylinder $\frac{1}{2}$ , solid sphere $\frac{2}{5}$ .
The solid sphere reaches first: answer 4.

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Rolling Motion question from JEE Main 2021 (17 Mar, Shift 1)

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