Chapter 9.4, Problem 9.107P

it is known that for a given area ${\bar{I}}_y$ = 48 × 10⁶ mm⁴ and ${\bar{I}}_{xy}$ = −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 ${\bar{I}}_x$ of the area, (b) the principal centroidal moments of inertia.