Equation for calculating CoG of members of a stack

[elund]

Hi, I want to calculate the center of gravity of all parts above various cross sections (k0, k1 & k2). So in the picture below, I calculate the center of gravity of m1, m2 and m3 at cross section k0. The next row would be to calculate the COG of m2 and m3 at k1 - and so on. 

I would like to express this with a simple equation. Would appreciate any help.

[terryhendicott]

Image of Mathcad Prime  take moments about base line to find vertical centroid.  There is insufficient information to determine horizontal centroid from left or right of the figure.

[ValeryOchkov]

See please also https://community.ptc.com/t5/PTC-Mathcad-Questions/CenterGravity/td-p/478445

[ValeryOchkov]

[elund]

Thank you for your answers. So the horizontal CoG is more or less zero, I'm only interested in the vertical CoG. Also, what I am after, is to express the below in one equation. So if I want to calculate the moment on cross section k, I can multiply my CoG (which in this example is 3x1) with my force vector (also 3x1), and get the moment, which should also be a 3x1 vector.

Hope this clarifies. Thanks!

[Werner_E · Accepted solution]

Are you looking for something like this:

[elund]

Thanks a bunch