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

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Q. The moment of inertia of a door of mass $m$ , length $2 \ell $ and width $\ell $ about its longer side is

NTA AbhyasNTA Abhyas 2022

Solution:

I about $Y^{\prime}=\frac{ m \ell^{2}}{12}$
Using parallel axis theorem:
$I(\text { about } AD )=\frac{ m \ell^{2}}{12}+\frac{ m \ell^{2}}{4}=\frac{ m \ell^{2}}{3}$
Solution