$10-46.$ Determine $\frac{?}{\text{b}\text{a}\text{r}}(y)$ which locates the centroid $cd$ the cross$-$sectional area of the wing channel, and then determine the moment of inertia $\frac{?}{\text{b}\text{a}\text{r}}(I{)}_{x^{\text{'}}}$ about the centroidal ry axis. Neglect the effect of rounded corners. The materia has a uniform thickness of $0\mathrm{.}5$ in $.$

$10-47.$ Determine the moment of inertia of the cross$-$sectional area of the wing channel about the $y$ axis.

Probs. $10-46/47$