Chapter 17.2, Problem 17.66P

Show that, when a rigid body rotates about a fixed axis through O perpendicular to the body, the system of the momenta of its particles is equivalent to a single vector of magnitude $m\bar{r}\omega$, perpendicular to the line OG, and applied to a point P on this line, called the center of percussion, at a distance $GP={\bar{k}}^2/\bar{r}$ from the mass center of the body.

Fig. P17.66