Question 442: Centre of Mass and Rotational Motion

Question

The radius of gyration of a cylindrical rod about an axis of rotation perpendicular to its length and passing through the center will be ___________ $$\mathrm{m}$$.
Given, the length of the rod is $$10 \sqrt{3} \mathrm{~m}$$.

Accepted Answer

$$l = {{M{L^2}} \over {12}} = M{K^2}$$
$$K = {L \over {\sqrt {12} }} = {{10\sqrt 3 } \over {\sqrt {12} }} = 5\,m$$

Centre of Mass and Rotational Motion

The radius of gyration of a cylindrical rod about an axis of rotation perpendicular to its length and passing through the center will be ___________ $\mathrm{m}. Given, the length of the rod is 10 \sqrt{3} \mathrm{~m}$.

Choose the correct answer: