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Prove that the rotational inertia of a flat square about a line drawn through the diagonal is equal to the rotational inertia about a line drawn through the center and crossing two opposite edges as a perpendicular bisector. (Hint: See Problem 10.)
The figure below shows the flat square plate in the two dimensional xy plane:It can be seen from the figure above, that due to symmetricity of the square plate, the rotational inertia of the plate about the x axis should be equal to the rotational inertia of the plate about the y axis.
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