A 24-kg base satellite deploys three sub-satellites, each of which has its own thrust
capabilities, to perform research on tether propulsion. The masses of sub-satellite A, B, and
C are 6 kg, 6 kg, and 10 kg, respectively, and their velocities expressed in m/s are given by
$\mathbf{v}_A = 4\mathbf{i} - 2\mathbf{j} + 2\mathbf{k}$, $\mathbf{v}_B = \mathbf{i} + 4\mathbf{j}$, $\mathbf{v}_C = 2\mathbf{i} + 2\mathbf{j} + 4\mathbf{k}$. At the instant shown, what is the
angular momentum $\mathbf{H}_O$ of the system about the base satellite? (Include a minus sign if
necessary.)
The angular momentum $\mathbf{H}_O$ = ( $\underline{\hspace{2cm}}$ kg$\cdot$m$^2$/s)$\mathbf{i}$+ ( $\underline{\hspace{2cm}}$ kg$\cdot$m$^2$/s)$\mathbf{j}$ + ( $\underline{\hspace{2cm}}$ kg$\cdot$m$^2$/s)$\mathbf{k}$.
