JEE MAIN - Physics (2024 - 27th January Morning Shift - No. 26)
Four particles each of mass $$1 \mathrm{~kg}$$ are placed at four corners of a square of side $$2 \mathrm{~m}$$. Moment of inertia of system about an axis perpendicular to its plane and passing through one of its vertex is _____ $$\mathrm{kgm}^2$$.
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Answer
16
Explanation
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$$\begin{aligned} & \mathrm{I}=\mathrm{ma}^2+\mathrm{ma}^2+\mathrm{m}(\sqrt{2 \mathrm{a}})^2 \\ & =4 \mathrm{ma}^2 \\ & =4 \times 1 \times(2)^2=16 \end{aligned}$$
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