## 015 Solving for a force and its angle and angle of two forces with given resultant

**Problem 015**

Forces F, P, and T are concurrent and acting in the direction as shown in Fig. P-015.

- Find the value of F and α if T = 450 N, P = 250 N, β = 30Â°, and the resultant is 300 N acting up along the y-axis.
- Find the value of F and α if T = 450 N, P = 250 N, β = 30Â° and the resultant is zero.
- Find the value of α and β if T = 450 N, P = 250 N, F = 350 N, and the resultant is zero.