Question

The radius of gyration of a rod of mass $m$ and length $2l$ about an axis passing through one of its ends and perpendicular to its length is $\frac{2}{\sqrt{x}}l$. Find $x$.

Answer 1

$K=\sqrt{\frac{I}{m}}=\sqrt{\frac{m(2l{)}^2/3}{m}}=\frac{2}{\sqrt{3}}l$