Solve Force Equilibrium Problem: Angle Between 1N & 2N

[pha27531]

there are three forces (1N, 2N, 3^(1/2)N) working on an object and have reached an equilibrium. what is the angle formed between 1N and 2N? can someone please help me out? I've been working on this problem for a while not, but can't figure it out.

 

[jegues]

Draw a triangle starting from the origin and since its in equilibrium it should end at the origin as well. Think of it in terms of vector addition.

$$\vec{F1} + \vec{F2} + \vec{F3} = 0$$

Define F1 as the hypotenuse and simply use the other two to construct a right angle triangle. Be sure that the hypotenuse you've defined contains the correct properties.