$W \, \bar = \Sigma wy$
$W \, \bar = \Sigma wz$
$V \, \bar$V \, \bar = \Sigma vy$
$V \, \bar = \Sigma vz$
$\displaystyle A \, \bar = \int_a^b y_c \, dA$
Centroid of lines
$\displaystyle L \, \bar$\displaystyle L \, \bar = \int_a^b y_c \, dL$
Center of gravity of bodies
$\displaystyle W \, \bar$\displaystyle W \, \bar = \int_a^b y_c \, dW$
$\displaystyle W \, \bar = \int_a^b z_c \, dW$
$\displaystyle V \, \bar$\displaystyle V \, \bar = \int_a^b y_c \, dV$
$\displaystyle V \, \bar = \int_a^b z_c \, dV$
Centroids of Common Geometric Shapes