$(36$ pts$)$ With the given shape as shown,

use the solid rectangle as component

shape$-1,$ and the circle cutoff as

component shape$-2$

$(32$ pts$)$ Complete all entries in the table,

where:

$a$ is the shape area;

$y$ is the distance between the

component shape's centroid and the

given ref axis.

$d$ is the distance between the

component shape's centroid and the

compound shape's $x-x$ centroidal

axis.

$(2$ pts$)$ Calculate the location of the compound shape's $x-x$ centroidal axis $\frac{?}{\text{b}\text{a}\text{r}}(y)$ with respect to the

given ref axis. $in$

$(2$ pts$)$ Calculate $I_x$ of the compound shape with respect to the compound shape's $x-x$

centroidal axis in $[$:${?}^4\}$