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Latex formatting
\begin{equation} 
m_A = m_v
\frac{F_{\text{out}}}{F_{\text{in}}} = \frac{$\omega_{\text{out}}}{$\omega_{\text{in}}}
\end{equation}

The input to output velocity ratio of a system is inversely related to its mechanical advantage, which measures the force or distance amplification of a machine. When mechanical advantage is high, output force or distance is greater than input, sacrificing speed for increased force. Conversely, when mechanical advantage is low, the system operates faster but with less force. Thus, if a system exhibits a minimum mechanical advantage when velocity is at a minimum, it indicates optimization for speed rather than force at that point.

Figure 12. Theta2 vs Angular Velocity Ratio

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