Force at Equilibrium: How to Solve X and Y Components of Tension

[GOPgabe]

Homework Statement

I have an actual image which is quite better than my poor descriptive skills

Homework Equations

The X and Y components of each tension must balance.

The Attempt at a Solution

I thought if F3 weighs 200N then that mean the X component of Fw1 must equal
Fw1 tan(35)=200. Clearly I was wrong based on the answer. How would I proceed from here? Any help would be much appreciated.

 

[kuruman]

At the point where the three ropes meet, the sum of all the horizontal forces is zero and the sum of all the vertical forces is zero. This gives you two equations and you have two unknowns.

 

[GOPgabe]

At the point where the three ropes meet, the sum of all the horizontal forces is zero and the sum of all the vertical forces is zero. This gives you two equations and you have two unknowns.

I think I got it now, just one question. Are you supposed to add the vertical components of both of the systems in order to get the weight of F_w1?

 

[kuruman]

I think I got it now, just one question. Are you supposed to add the vertical components of both of the systems in order to get the weight of F_w1?

I am not sure what you mean by "both systems". Your system in this case is the knot where all three ropes are tied together. There are three forces acting on it, and the sum of these forces is zero.