1. Tardigrade
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  4. Consider a uniform square plate of side ' a ' and mass ' m '. The moment of inertia of this plate about an axis perpendicular to its plane and passing through one of its corners is:

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Q. Consider a uniform square plate of side ' $a$ ' and mass ' $m$ '. The moment of inertia of this plate about an axis perpendicular to its plane and passing through one of its corners is:

Solution:

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$I_{A}=I_{C M}+m\left(\frac{a}{\sqrt{2}}\right)^{2}$
$I_{A}=\frac{m a^{2}}{6}+\frac{m a^{2}}{2}$
$I_{A}=\frac{2}{3} m a^{2}$