Suppose the particles in the preceding problem have masses $1=0\mathrm{.}10$kg$,2=0\mathrm{.}20$kg$,3=0\mathrm{.}30$kg$,4=0\mathrm{.}40$kg$.$ The velocities of the particles are $1=2\mathrm{.}0$m$/$s$,2=(3\mathrm{.}03\mathrm{.}0)$m$/$s$,3=1\mathrm{.}5$m$/$s$,4=4\mathrm{.}0$m$/$s$.($a$)$ Calculate the angular momentum of each particle about the origin. $($b$)$ What is the total angular momentum of the four$-$particle system about the origin?