Chapter 7, Problem 12P

A two-bar truss Supports a weight of W = 750 lb as shown in Fig. P7.12 .The forces $F_1$ and $F_2$ satisfy the following system of equations:

$0.866F_1=F_2$ $(7.106)$ $0.5F_1=750$. $(7.107)$

1. Write the system of equations $(7.106)$ and $(7.107)$
2. in the matrix form $AF=b$, where $F=\left[\begin{array}{c}{F}_1\\ F_2\end{array}\right]$. In the other words, find matrices A and b.
3. Find $F_1$ and $F_2$
4. using the matrix algebra method. Perform all computations by hand and show all steps.
5. Find $F_1$ and $F_2$
6. using the Cramer’s rule.