Problem $1$

Practice Problem: For the composite shape below, please answer the following:

Calculate the location of centroid, $\frac{?}{\text{b}\text{a}\text{r}}(y)$ in $mm$

Calculate the moment of inertia of the area about the $y$ axis in $m{m}^4$

Calculate the moment of inertia of the area about the $x^{\text{'}}$ axis in $m{m}^4$

$\frac{?}{\text{b}\text{a}\text{r}}(y)=333\mathrm{.}71mm,I_y=914({10}^6)m{m}^4,I_x^{\text{'}}=3\mathrm{.}83({10}^9)m{m}^4($any solution close to this is okay as it could be due to different rounding$)$