# The Components of two Forces Along the Axis are Equal

I have a doubt in understanding the meaning of this statement written on my homework.

The components $$F_1$$ and $$F_3$$ are equal along the u-axis

Does the statement mean that the x and y components of those two forces are really equal?

• Does the statement mean that the x and y components of those two forces are really equal? By looking at the diagram you can see that they are not. The statement is about the $u$ components. Commented Mar 3, 2021 at 4:35

## 2 Answers

No, the question states that components of F1 and F3 are equal along u as an axis, ie measure the angle along u axis and take components.

• Does it mean that the u-components of F1 and F3 are the ones that are equal? ie. F_(1u) = F_(3u)? Commented Mar 3, 2021 at 6:09
• Yes, i think @Eli 's last statement is the eqn Commented Mar 3, 2021 at 10:42

The components of $$F_1$$ and $$F_2$$ along u axis are not equal because the angle $$\alpha$$ is not equal to the angle $$\beta$$, the question supposed to be find the components of $$F_2$$ along u ?

$$F_1\cos(\alpha)=F_2\cos(\beta)$$