It is known that for a given area y = 48 × 106 mm4 and xy = -20 × 106 mm4, where the x and...

It is known that for a given area y = 48 × 106 mm4 and xy = -20 × 106 mm4, where the x and y axes are rectangular centroidal axes. If the axis corresponding to the maximum product of inertia is obtained by rotating the x axis 67.5° counterclockwise about C, use Mohr’s circle to determine (a) the moment of inertia x of the area, (b) the principal centroidal moments of inertia.