Find the moment of inertia of system passing about one of its diagonal.
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M.I about an axis parallel to one side and intersecting other side at mid-point is (m×l^2)/12 . Similarly for the other axis perpendicular to this is same due to symmetry of square. Therefore by applying perpendicular axis theorem the M.I of the square along an axis perpendicular to plan of square is (m×l^2)/6.
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The moment of inertia of the system about the diagonal of the square is N x 10. Four solid spheres each of diameter 5 cm and mass 0.5 kg are placed with their centres at the corners of a square of side 4 cm. The moment of inertia of the system about the diagonal of the square is N x 10-4 kg-m2, then N is.
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