First slide

Moment of intertia

Question

What will be the moment of inertia of thin rod of mass M and length L about an axis passing through its end and perpendicular to the length ?

Moderate

A

$\frac{{ML}^{2}}{3}$
B

$\frac{{ML}^{2}}{12}$
C

$\frac{{ML}^{2}}{2}$
D

${ML}^{2}$

Solution

According to the theorem of parallel axes,
$I = \frac{{ML}^{2}}{12} + M {(\frac{L}{2})}^{2} = \frac{{ML}^{2}}{12} + \frac{{ML}^{2}}{4} = \frac{{ML}^{2}}{3}$

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