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MHT CET 2023 (11 May, Shift 1) · Moment of Inertia & Radius of Gyration

Moment of Inertia & Radius of Gyration question from MHT CET 2023 (11 May, Shift 1)

Q99MHT CET 2023 · 11 MAY · SHIFT 1Medium

Moment of Inertia & Radius of Gyration

Radius of gyration of a thin uniform circular disc about the axis passing through its centre and perpendicular to its plane is $K_c$ . Radius of gyration of the same disc about a diameter of the disc is $K_d$ . The ratio $K_c : K_d$ is

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Answer: (a)

$K_c^2 = \frac{R^2}{2}$ (perpendicular axis), $K_d^2 = \frac{R^2}{4}$ (diameter).
$\frac{K_c}{K_d} = \sqrt{2}$
So the answer is (a) $\sqrt{2} : 1$ .

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