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QJEEM24Ph8db8: JEE Main 2024 Physics - Class 11 JEEM24Ph8db8 Solution: Four particles each of mass are placed at four corners of a…

Four particles each of mass 1 kg1 \mathrm{~kg} are placed at four corners of a square of side 2 m2 \mathrm{~m} . Moment of inertia of system about an axis perpendicular to its plane and passing through one of its vertex is _____ kgm2\mathrm{kgm}^2 .

JEE Main 2024 (Online) 27th January Morning Shift Physics - Rotational Motion Question 30 English

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JEE Main 2024 (Online) 27th January Morning Shift Physics - Rotational Motion Question 30 English Explanation

amp;I=ma2+ma2+m(2a)2amp;=4ma2amp;=4×1×(2)2=16\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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