Four particles, each of mass 1 kg, are placed at the four corners of a square of side 2 m. The moment of inertia of the system about an axis perpendicular to its plane and passing through one of its vertices is kg m².

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16. For point masses, I=Σ m r², with r measured from the axis. The axis passes through one vertex, so that particle sits on it: r=0. Two particles are at the far ends of the adjacent sides: r=2 m each, so r²=4. The fourth is across the diagonal: r=2√2 m, so r²=8. I=(1)(0)+(1)(4)+(1)(4)+(1)(8)=16 kg m².

Four particles, each of mass 1 kg, are placed at the four corners of a square of side 2 m. The moment of inertia of the system about an axis perpendicular to its plane and passing through one of its vertices is ______ kg m².

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