centroid of common areas

Centroids of Composite Figures

Center of gravity of a homogeneous flat plate

$W \, \bar{x} = \Sigma wx$

$W \, \bar{y} = \Sigma wy$

Centroids of areas

$A \, \bar{x} = \Sigma ax$

$A \, \bar{y} = \Sigma ay$

Centroids of lines

$L \, \bar{x} = \Sigma lx$

$L \, \bar{y} = \Sigma ly$

Center of gravity of bodies

$W \, \bar{x} = \Sigma wx$

$W \, \bar{y} = \Sigma wy$

$W \, \bar{z} = \Sigma wz$

Centroids of volumes

$V \, \bar{x} = \Sigma vx$

$V \, \bar{y} = \Sigma vy$

$V \, \bar{z} = \Sigma vz$