Find the resultant components of three forces.

Question 9: Resultant components of three forces

We need to find the x and y components of each force and then sum them to find the resultant components.

• Force 1 ($F_1$): $20 \, \text{N}$ at $30^\circ$ NE. This means $30^\circ$ from the positive x-axis. $$F_{1x} = 20 \cos(30^\circ) = 20 \times \frac{\sqrt{3}}{2} = 10\sqrt{3} \approx 17.32 \, \text{N}$$ $$$$