$\mathbf{P}$ is directed at an angle $\alpha$ from $x$-axis and the 200 N force is acting at a slope of 5 vertical to 12 horizontal.
- Find $\mathbf{P}$ and $\alpha$ if the resultant is 500 N to the right along the $x$-axis.
- Find $\mathbf{P}$ and $\alpha$ if the resultant is 500 N upward to the right with a slope of 3 horizontal to 4 vertical.
- Find $\mathbf{P}$ and $\alpha$ if the resultant is zero.
a. $P = 324.63$ N, $\alpha = 13.71^\circ$
b. $\alpha = 76.4^\circ$, $P = 490.68$ N
c. $P = 200 \, \text{ N at} \, \alpha = 157.38°$
