Using the properties of the fiber and matrix shown in the table below. Consider a composite with a volume fraction of 60% (or $V_f$ = 0.60). Show all work and and find the following
\begin{itemize}
\item (5 pts each) Find $E_1$, $E_2$, $G_{12}$, $\nu_{12}$
\end{itemize}
\begin{tabular}{|c|c|c|}
\hline
& Fiber & Matrix \\
\hline
$E_1$ (Msi) & 50 & 10 \\
$\nu_{12}$ & .2 & .35 \\
$\rho \left(\frac{lbs}{in^3}\right)$ & .2 & .1 \\
\hline
\end{tabular}
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$E_1 = 34Msi$
$E_2 = 19.231Msi$
$G_{12} = 13.981Msi$
$\nu_{12} = 0.26$
