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Moreover, we verified that our proposed linkage allows at least one link to make a full rotation by complying with the Grashof condition, which states that for a planar four-bar linkage: 
\[
   L + S \leq P + Q
\]
where \( L \) is the length of the longest link, \( S \) is the length of the shortest link, and \( P \) and \( Q \) are the lengths of the other two links.

Since we can break up the six-bar linkage into two four-bar linkages for analysis (see justification in Python Analysis), we employed the condition on both of the linkages. In the first four-bar linkage, the lengths of the links are:
\begin{align*}
    &\text{$l_1$ (Ground link): 1.875}\\
\end{align*}
\begin{align*}
    &\text{$l_2$: 3}\\
\end{align*}
\begin{align*}
    &\text{$l_3$: 4}\\ 
\end{align*}
\begin{align*} 
   &\text{$l_4$: 3.06}
\end{align*}

Therefore:
\begin{align*}
    &\text{Longest link (L): 4}\\
\end{align*}
\begin{align*}
    &\text{Shortest link (S): 1.875}\\
\end{align*}
\begin{align*}
    &\text{Other two links (P and Q): 3 and 3.06}
\end{align*}
Applying the Grashof condition:
\[
    4 + 1.875 \leq 3 + 3.06
\]
which is satisfied, meaning it is a Grashof linkage.

In the second four-bar linkage, the lengths of the links are:
\begin{align*}
    &\text{$l_4$: 3.07}\\
\end{align*}
\begin{align*}
    &\text{$l_5$: 3.99}\\
\end{align*}
\begin{align*}
    &\text{$l_6$: 3.0508}\\
\end{align*}
\begin{align*} 
    &\text{$l_1$: 1.875}
\end{align*}
Therefore:
\begin{align*}
    &\text{Longest link (L): 3.99}\\
\end{align*}
\begin{align*}
    &\text{Shortest link (S): 1.875}\\
\end{align*}     
\begin{align*}
&\text{Other two links (P and Q): 3.07 and 3.0508}
\end{align*}
Applying the Grashof condition:
\[
    3.99 + 1.875 \leq 3.07 + 3.0508
\]
which is also satisfied, meaning it is a Grashof linkage.


* Adaptation to Golf

As the team worked through the design process and iterated prototypes, the application of the project pivoted to focus on modeling a golf club impacting a golf ball.