Three rings each of mass 'M' and radius 'R' are arranged as shown in… | MHT CET 2021 (21 Sep, Shift 2)

Q126MHT CET 2021 · 21 SEP · SHIFT 2Medium

Moment of Inertia & Radius of Gyration

Three rings each of mass 'M' and radius 'R' are arranged as shown in the figure. The moment of inertia of system about axis YY' will be

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Answer: (b)

Ring 1: YY' is a diameter, $\frac{1}{2}MR^2$ .
Rings 2, 3: YY' is a tangent in their plane, $\frac{1}{2}MR^2 + MR^2 = \frac{3}{2}MR^2$ each.
$I = \frac{1}{2}MR^2 + 3MR^2 = \frac{7}{2}MR^2$ , so the answer is (b).

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