Four particles with masses 1 kg, 2 kg, 3 kg and 4 kg are situated at the corners of a square with side 1 m. The moment of inertia of the system about an axis passing through the centre O of the square and perpendicular to its plane is kg m².

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5. Every corner of a square is the same distance from the centre: half the diagonal. r=(√2)/2=1/(√2) m, so r²=1/2 m² for all four. I=Σ mᵢrᵢ²=r²Σ mᵢ=1/2(1+2+3+4). I=(10)/2=5 kg m². Because r is the same for all of them, only the total mass matters and the individual values never need to be tracked.

Four particles with masses 1 kg, 2 kg, 3 kg and 4 kg are situated at the corners of a square with side 1 m. The moment of inertia of the system about an axis passing through the centre O of the square and perpendicular to its plane is ______ kg m².

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