Crey | Four spheres, each of mass M and radius r are situated at the four corners of square of side R . The moment of inertia of the system about an axis perpendicular to the plane of square and passing through its centre will be 5M(4r² + 5 R²) / 2, 2M(4r² + 5 R²) / 5, 2M(4r² + 5 r²) / 5, 5M(4r² + 5 r²) / 2

Question

Four spheres, each of mass M and radius r are situated at the four corners of square of side R . The moment of inertia of the system about an axis perpendicular to the plane of square and passing through its centre will be

Options :

5M(4r² + 5 R²) / 2
2M(4r² + 5 R²) / 5
2M(4r² + 5 r²) / 5
5M(4r² + 5 r²) / 2

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