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MHT CET 2025 (20 Apr, Shift 1) · Moment of Inertia & Radius of Gyration

Moment of Inertia & Radius of Gyration question from MHT CET 2025 (20 Apr, Shift 1)

Q46MHT CET 2025 · 20 APR · SHIFT 1Medium

Moment of Inertia & Radius of Gyration

Two spheres each of mass $M$ and radius $R$ are connected with a massless rod of length 4 R. The moment of inertia of the system about an axis passing through the centre of one of the spheres and perpendicular to the rod will be

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Answer: (b)

Sphere on the axis: $\frac{2}{5}MR^2$ .
Other sphere, centre at $4R$ : $\frac{2}{5}MR^2 + M(4R)^2$ .
$I = \frac{4}{5}MR^2 + 16MR^2 = \frac{84}{5}MR^2$ , so the answer is (b).

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