\begin{table}
\begin{center}
\caption{Summary of Relationships for Scale Model Testing}
\makeqnum
\begin{tabular}{||l|c||}
\hline
\multicolumn{1}{|c}{Parameter}
 &\multicolumn{1}{|c||}{Scaling Relationships}\\
Geometry and & \\
Initial Conditions: &\\
\quad Overall Length     & $l_{sm} = l_{fs} \times (Scale)^{1}$\\
\quad Mass               & $M_{sm} = M_{fs} \times (Scale)^{3}$\\
\quad Moment of Inertia  & $I_{sm} = I_{fs} \times (Scale)^{5}$\\
\quad Spring Constants: &\\
\quad \quad Loading      & $Kl_{sm} = Kl_{fs} \times (Scale)^{1}$\\
\quad \quad Unloading    & $Ku_{sm} = Ku_{fs} \times (Scale)^{1}$\\
\quad Initial Velocity   & $Vi_{sm} = Vi_{fs} \times (Scale)^{0}$\\
\quad Initial Angle      & $\theta i_{sm} = \theta i_{fs} \times
(Scale)^{0}$\\
\hline
Results: & \\
\quad    Linear Accelerations  & $a_{sm} = a_{fs} \times (Scale)^{-1}$\\
\quad    Angular Accelerations & $\alpha _{sm} = \alpha _{fs} \times
(Scale)^{-2}$\\
\quad    Linear Velocities     & $V_{sm} = V_{fs} \times (Scale)^{0}$\\
\quad    Angular Velocities    & $\omega _{sm} = \omega _{fs} \times
(Scale)^{-1}$\\
\quad    Linear Displacements  & $\Delta _{sm} = \Delta _{fs} \times
(Scale)^{1}$\\
\quad    Angular Displacements & $\theta _{sm} = \theta _{f} \times
(Scale)^{0}$\\
\hline
\end{tabular}
\end{center}
\end{table}
