For a given area the moments of inertia with respect to two rectangular centroidal x and y...

For a given area the moments of inertia with respect to two rectangular centroidal x and y axes are x = 1200 in4 and y = 300 in4, respectively. Knowing that after rotating the x and y axes about the centroid 30° counterclockwise, the moment of inertia relative to the rotated x axis is 1450 in4, use Mohr’s circle to determine (a) the orientation of the principal axes, (b) the principal centroidal moments of inertia.