Chapter 14.1, Problem 14.27P

Derive the relation $H_o=\bar{r}\times m\bar{v}+H_G$ between the angular momenta $H_o$ and $H_G$ defined in Eqs. (14.7) and (14.24), respectively. The vectors $\bar{r}$ and $\bar{v}$ define, respectively, the position and velocity of the mass center G of the system of particles relative to the newtonian frame of reference Oxyz, and m represents the total mass of the system.