Problem $2$:

$($Hand written solution please$)$

Thank You!!

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

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.