Evaluate an orientation of the principal axes, Mechanical Engineering

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Evaluate an orientation of the principal axes

Solve the below problem:

Q: 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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Mechanical Engineering: Evaluate an orientation of the principal axes

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