CoG - Excercise 1

Given:

Searched: x_S, y_S

Since the structure is symmetric, the position of the x-coordinate is obviously in the middle. The y-coordinate (here the hight) of the center of gravity is calculated with a table:

body	yS	Ai	yS⋅ Ai
1	28	120	3360
2	14	100	1400
3	2	180	260
Σ	-	400	5120

${\mathrm{y}}_{\mathrm{S}}=\frac{\mathrm{\Sigma }({\mathrm{y}}_{\mathrm{i}}·{\mathrm{A}}_{\mathrm{i}})}{{\mathrm{A}}_{\mathrm{ges}}}=\frac{5120}{400}=12,8$