Chapter 7, Problem 19P

A vehicle weighing W = 10 kN is parked on an inclined driveway $\left(\theta =21.8°\right)$ as shown in Fig. P7.19 .The forces F and N satisfy the following system of equations:

$0.9285F=0.3714N$ $(7.120)$ $0.9285N+0.3714F-10=0$. $(7.121)$ Where forces F and N are in kN.

1. Write the system of equations $(7.120)$ and $(7.121)$
2. in the matrix form $Ax=b$, where $x=\left[\begin{array}{c}F\\ N\end{array}\right]$. In the other words, find matrices A and b.

(b) Find $F$ and $N$ using the matrix algebra method. Perform all computations by hand and show all steps.

(c) Find $F$ and $N$ using the Cramer’s rule.