Write a computer program that, for an area with known moments and product of inertia Ix, Iy, and Ixy, can be used t obtained by rotating the original axes counterclockwise through an angle θ. Use this program to compute Ix, Iy, and Ix , y for the section of Sample Prob. 9.7 for values of u from 0 to 90° using 5° increments.
Prob. 9.7 Determine by direct integration the moment ofinertia of the shaded area with respect to the x axis.