Three solid spheres each of mass m and diameter d are stuck together such that the lines connecting the centres form an equilateral triangle of side length d. Find the ratio I 0 /I A , where I 0 is the moment of inertia of the system about an axis passing through the centroid and I a is the moment of inertia of the system about an axis passing through the centre of any sphere and perpendicular to the plane of the triangle.
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The moment of inertia of the system about the point O is
moment of inertia of the system about the point A is
So, the ratio 
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