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The moments of inertia of a non-uniform ...

The moments of inertia of a non-uniform circular disc (of mass M and radius R) about four mutually perpendicular tangents AB, BC, CD, DA are `I_(1), I_(2), I_(3)` and `I_(4)`, respectively (the square ABCD circumscribes the circle). The distance of the center of mass of the disc from its geometrical center is given by -

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