The radius of gyration of a cylindrical rod about an axis of rotation… | JEE Main 2022 (26 Jul, Shift 2)

Q115JEE Main 2022 · 26 JUL · SHIFT 2Medium

Moment of Inertia & Radius of Gyration

The radius of gyration of a cylindrical rod about an axis of rotation perpendicular to its length and passing through the center will be ___________ $\text{m}$ .

Given, the length of the rod is $10\sqrt{3}\text{ m}$ .

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

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Answer: 5

Thin rod about centre: $I = \frac{ML^2}{12} \Rightarrow K = \frac{L}{\sqrt{12}} = \frac{L}{2\sqrt{3}}$ .
$K = \frac{10\sqrt{3}}{2\sqrt{3}} = 5\text{ m}$

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