Solid sphere A is rotating about an axis PQ. If the radius of the sphere is 5 cm then its radius of gyration about PQ will be √(x) cm. The value of x is ________. Numerical answer type. Work it out, then open the answer.

Answer: 110. From the figure the centre of sphere A is 10 cm from axis PQ. k² = 2/5R² + d² = 2/5(25) + 100 = 110 cm² k = √(110) cm, so x = 110.

Solid sphere A is rotating about an axis PQ. If the radius of the… | JEE Main 2023 (24 Jan, Shift 1)

Q102JEE Main 2023 · 24 JAN · SHIFT 1Medium

Moment of Inertia & Radius of Gyration

Solid sphere A is rotating about an axis PQ. If the radius of the sphere is 5 cm then its radius of gyration about PQ will be $\sqrt{x}$ cm. The value of $x$ is ________.

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

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Answer: 110

From the figure the centre of sphere A is 10 cm from axis PQ.
$k^2 = \frac{2}{5}R^2 + d^2 = \frac{2}{5}(25) + 100 = 110\ \text{cm}^2$
$k = \sqrt{110}$ cm, so $x = 110$ .

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