Four identical solid spheres each of mass 'm' and radius 'a' are placed with their centres on the four corners of a square of side 'b'. The moment of inertia of the system about one side of square where the axis of rotation is parallel to the plane of the square is :

Question

${4 \over 5}m{a^2}$

${8 \over 5}m{a^2} + m{b^2}$

${4 \over 5}m{a^2} + 2m{b^2}$

${8 \over 5}m{a^2} + 2m{b^2}$

Solution

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