The moment of inertia of a thin uniform square plate \(A B C D\) of uniform thickness about an a....

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The moment of inertia of a thin uniform square plate \(A B C D\) of uniform thickness about an axis passing through the centre \(O\) and perpendicular to the plate is where \(I_{1}, I_{2}, I_{3}\), and \(I_{4}\) are respectively the moments of inertia about axes 1,2,3, and 4 which are in the plane of the plate.
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