Center of Mass of a Polygon
Center of Mass of a Polygon
Both the area and the various moments of a simple polygon can be written as simple functions of the coordinates of the vertices. These formulas can then be used to identify the center of mass of the polygon: . Move or add new locators and watch the center of mass move. Careful: if the polygon boundary intersects itself, the results are invalid!
{X,Y}={,}A
M
x
M
y