Chapter 9, Problem 9.4P

The moment of inertia of the plane region about the x-axis and the centroidal x-axis are $I_x=0.35{\text{ft}}^4$ and ${\bar{I}}_x=0.08\text{in}{\text{.}}^4,$ respectively. Determine the coordinate $\bar{y}$ of the centroid and the moment of inertia of the region about the u-axis.