Chapter 7, Problem 16P

The weight of a vehicle is supported by reaction forces at its front and rear wheels as shown in Hg. P7.16. If the weight of the vehicle is W = 4800 lb, the reaction forces $R_1$ and $R_2$, satisfy the following system of equations:

$R_1+R_2-4800=0$ $(7.114)$ $6R_1-4R_2=0$ $(7.115)$ (a) Find $R_1$ and $R_2$ using the substitution method.

1. Write the system of equations $(7.114)$ and $(7.115)$
2. in the matrix form $AF=b$, where $x=\left[\begin{array}{c}{R}_1\\ R_2\end{array}\right]$. In the other words, find matrices A and b.
3. Find $R_1$ and $R_2$
4. using the matrix algebra method. Perform all computations by hand and show all steps.
5. Find $R_1$ and $F_2$
6. using the Cramer’s rule.