Centroid of a Line

Straight Lines

Curved Line: In general, the centroid of a curved line is not located on the line itself but at some distance away. In this case, integral equations are used to determine the position of the centroid as

equation (2)

where dl is the differential line segment (element), and x y z are the centroidal coordinates ("moment arms") of the differential element. In this case also we are free to choose any coordinate system that simplifies the integrations in Eq. (2).

Example 2

Straight Lines