Calculating the total force using vector components can be a bit tricky. This is because there might be mistakes in direction and size. Let’s break it down into simpler steps:

1. Breaking Down Forces: First, look at the forces acting at angles. We need to split these forces into two parts: one going side to side (horizontal) and the other going up and down (vertical). This step needs some math skills, and it’s easy to make mistakes here.

2. Adding Them Up: Once we have the horizontal and vertical parts, it’s time to add them together.

   • For the side-to-side forces ($F_{x}$): $F_{x} = F_{1x} + F_{2x}$

   • For the up-and-down forces ($F_{y}$): $F_{y} = F_{1y} + F_{2y}$

3. Finding the Total Force: Now, we can find the total force with this formula: $F_{R} = \sqrt{F_{x}^{2} + F_{y}^{2}}$

   To find the direction, we use: $\theta = \tan^{-1}\left(\frac{F_{y}}{F_{x}}\right)$

Even though this process can be a bit boring, taking it step by step and doing the calculations carefully can help you get the right answers.