Problem II: $(30$ points$)$

The composite shape shown in Figure II is made up of three timber sections with a circular hole in one of them. For the dimensions given for timber sections, it is required to perform the following tasks:

Referring to the origin $O$ of axis $(x,Y)$ shown, determine the location of the centroid $,$ points$)$

Referring to the origin of axis $(x,Y)$ shown, determine the location of the center of gravity $(x_{Cg},Y_{Cg}).(6$ points$)$ when:

$($Horizontal sections