Question

Radius of gyration of a thin uniform rod of mass M length L about an axis perpendicular to it at one of its ends is:

• A. $L$
• B. $L/2$
• C. $L/2\sqrt{(}3)$
• D. $L/\sqrt{(}3)$

Answer 1

The correct option is D $L/\sqrt{(}3)$

The moment of inertia of a rod of mass m about an axis perpendicular to it at one of its ends is given by $I=M{L}^2/3$. Comparing this with the general equation for the moment of inertia, we get, $I=M{K}^2$, K is the radius of gyration, we get $K=L/\sqrt{3}$
The correct options is option d