Help :: To find the central point

[other-side-of-d-moon]

Hello Guys

I have this question for you today, i really tried to solve it but i faced some problems to do so, my question is to find the central point for arbitrary shape, i have this shape and i hope you to help me to find the central point.




thanks

 

[WimRFP]

You can devide your figure in two triangles. you may know the central point (center of gravity) in case of flat sheet material) is the intersection of the medians of the triangle.

Now you have two central points (one for the left en one for the right triangle).

The center of gravity of the total figure is the area weighted average of two centers of gravity. See also https://en.wikipedia.org/wiki/Center_of_mass

 

[p.0774023179]

Your drawing is incomplete ... the elements illustrated do not fully specify a quarilateral.
For that you would need two more angles specified ...
However: considering the surface homogenous here is a more analytical approach to compute the center point
x=(x1+x2+x3+x4)/4
y=(y1+y2+y3+y4)/4
where in your case (x1, y1)=(0, 0) ; (x2, y2)=(4,0), and the rest cannot be determined in your case....