Problem $3$:

$($Handwritten Solution Please!$)$

Thank You!!!

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Determine the moment of inertia of composite area given in c$)$ about the centroid axis $\stackrel{}{x},I_{\stackrel{}{x}}$ and about $\frac{?}{\text{b}\text{a}\text{r}}(y),I_y$; and polar moment of inertia, $J_C.$

Note: find the centroid of the composite, C first, then let the centroid axes $\stackrel{}{x}$ and $\frac{?}{\text{b}\text{a}\text{r}}(y)$ be parallel to the axes $x$ and $y,$ then use Parallel$-$Axis Theorem.

Partial keys: $I_{\stackrel{}{x}}=93\mathrm{.}92i{n}^4$;$I_{\frac{?}{\text{b}\text{a}\text{r}}(y)}=89\mathrm{.}77i{n}^4$