PROBLEM 9.72 Using the parallel-axis theorem, determine the product of inertia of the area shown with respect to the centroidal xand yaxes. SOLUTION Note: Orientation of 3Acorresponding to a 180° rotation of the axes. Equation 9.20 then yields x yxyII′ ′=Symmetry implies ()10xyI=Using Sample Problem 9.6 ()() ()224219 in.4.5 in.22.78125 in72x yI′ ′= −= −and ()()222219 in. 1.5 in. 9 in.4.5 in.20.25 in2XYA====Similarly, ()() (
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