TABLE 5.

Proximal variable definitions.

Variable	Definition	Variable	Definition
$\overline{F}$	Externally applied forces	$\overline{T}$	Externally applied torques
$\overline{\overline{m}}$	Mass	$\overline{\overline{J}}$	Mass moment of inertia
$\overline{a}=\ddot{\overline{x}}$	Translational acceleration	$\overline{\alpha }=\ddot{\overline{\theta }}$	Rotational acceleration
$\frac{d^2\overline{x}}{d{t}^2}=\dot{v}$	Translational acceleration	$\frac{d^2\overline{\theta }}{d{t}^2}=\dot{\overline{\omega }}$	Rotational acceleration
$\overline{r}$	Radius vector relative to rotating frame	$\overline{\omega }=\dot{\overline{\theta }}$	Rotational velocity
$\overline{v}$	Velocity vector relative to rotating frame	$\overline{\theta }$	Displacement angle

Such tables are distributed throughout the manuscript to increase the ease of reading, while a combined master table of definitions is included in the Supplementary Appendix.