Chapter 9, Problem 9.3P

The moments of inertia of the plane region about the x- and u-axes are $I_x=0.4{\text{ft}}^4$ and $I_u=0.6{\text{ft}}^4,$ respectively. Determine $\bar{y}$ (the y-coordinate of the centroid C) and ${\bar{I}}_x$ (the moment of inertia about the centroidal x-axis).