Solve using tabular method.

Consider the wing channel in $($Figure $1)$ with $h=4\mathrm{.}6in.$ Neglect the effect of rounded corners. The material has a uniform thickness of $0\mathrm{.}5$ in$.0\mathrm{.}5in.$

Figure

$1$ of $1$

Part A

Determine $\frac{?}{\text{b}\text{a}\text{r}}(y)$ which locates the centroid $C$ of the cross$-$sectional area of the wing channel.

Express your answer in inches to three significant figures.

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Part B

Determine the moment of inertia $\frac{?}{\text{b}\text{a}\text{r}}(I{)}_{x^{\text{'}}}$ about the centroidal $x^{\text{'}}$ axis.

Express your answer in inches to the fourth power to three significant figures.

$\frac{?}{\text{b}\text{a}\text{r}}(I{)}_{x^{\text{'}}}=($