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JEE Main 2022 · 30 Jun · Shift 1, Physics question 53

Four particles with a mass of 1 kg, 2 kg, 3 kg and 4 kg are situated at the corners of a square with side 1 m (as shown in the figure). The moment of inertia of the system, about an axis passing through the point O and perpendicular to the plane of the square, is ______ kg m2^2.

Square ABCD of side 1 m with A (1 kg) top left, D (4 kg) top right, C (3 kg) bottom right, B (2 kg) bottom left; O is the centre where the diagonals cross.
Answer and worked solution

Official answer: 5

Each mass is 12\frac1{\sqrt2} m from O: I=12(1+2+3+4)=5I=\frac12(1+2+3+4)=5 kg m².

Answer: 5

Topics:Moment of inertia
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