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For a given area the moments of inertia with respect to two rectangular centroidal x and y axes are *I*_{x} = 640 in^{4} and* I*_{y} = 280 in^{4}, respectively. Knowing that after rotating the x and y axes about the centroid 60° clockwise the product of inertia relative to the rotated axes is −180 in^{4}, use Mohr’s circle to determine

(a) The orientation of the principal axes,

(b) The centroidal principal moments of inertia.

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