The radius of gyration of a uniform rod of length L about an axis… - Vidyadip

MCQ

The radius of gyration of a uniform rod of length $L$ about an axis passing through its centre of mass and perpendicular to its length is:

✓
$\frac{\text{L}}{\sqrt{12}}$
B
$\frac{\text{L}^2}{12}$
C
$\frac{\text{L}^2}{\sqrt{3}}$
D
$\frac{\text{L}}{\sqrt{2}}$

✓

Answer

Correct option: A.

$\frac{\text{L}}{\sqrt{12}}$

$\text{I}=\text{MK}^2=\frac{\text{ML}^2}{12}$
$\therefore\text{K}=\frac{\text{L}}{\sqrt{12}}$

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