First slide

Moment of intertia

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

$\frac{5 {ml}^{2}}{24}$
C

$\frac{{ml}^{2}}{3}$
D

none of these

Solution

I (about ${YY}^{'}$ ) = $\frac{{ml}^{2}}{12}$
Using parallel axis theorem:
(about AD) $\frac{{ml}^{2}}{12} + \frac{{ml}^{2}}{4} = \frac{{ml}^{2}}{3}$

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