PROBLEM 9.41 Determine the moments of inertiaxIandyIof the area shown with respect to centroidal axes respectively parallel and perpendicular to side AB. SOLUTION First calculate the centroid Cof the area From symmetry 0.6 in.0.9 in.1.5 in.Y=+=To computeXuse the equation XAAx= Σor ()()()()22135.4 in2.7 in.1.83.6 in2.3 in.2135.4 in1.83.6 in2X××−=×−×2.8 in.=The moment of inertia of the composite area is obtained by subtracting the moment of inertia of the triangle from the moment of inertia of the rectangle
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