First slide

Moment of inertia

Question

The moment of inertia of a door of mass m, length 2l and width l about its longer side is

Moderate

A

$\frac{11 {ml}^{2}}{24}$
B

$\frac{5 m l^{2}}{24}$
C

$\frac{m l^{2}}{3}$
D

none of these

Solution

$(About Y Y^{'}) = \frac{m l^{2}}{12}$
Using parallel axis theorem,
$I (about A D) = \frac{m l^{2}}{12} + \frac{m l^{2}}{4} = \frac{m l^{2}}{3}$

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