The radius of gyration of a solid cylinder of mass (M) and r... | Physics | SolveeIt | Solveeit

Today, August 18

Question

The radius of gyration of a solid cylinder of mass $M$ and radius $R$ about its own axis is

A

$\frac{R}{\sqrt{2}}$

B

$\frac{R}{2}$

C

$\frac{R}{\sqrt{3}}$

D

$\frac{R}{3}$

Answer

$\frac{R}{\sqrt{2}}$

Explanation

Solution

The radius of gyration of a solid cylinder $k=\sqrt{\frac{I}{M}}=\sqrt{\frac{M R^{2}}{2}}$ $k=\frac{R}{\sqrt{2}}$