For a given area the moments of inertia with respect to two

For a given area the moments of inertia with respect to two rectangular centroidal x and y axes are Ix = 640 in4 and Iy = 280 in4, 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 in4, use Mohr’s circle to determine
(a) The orientation of the principal axes,
(b) The principal centroidal moments of inertia.

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