(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

There is a resultant force going towards the positive x axis at 500 lbf. Force 1 is going 45 degrees above the positive x axis. Force 2 is going 30 degrees below the positive x axis. What are magnitudes of Force 1 and Force 2?

3. The attempt at a solution

I wrote up equations for total Force X and total Force Y.

Force X: F1*sin45 + F2*cos30 = 500

Force Y: F1*sin45 - F2*sin30 = 0

So from Force X, I know that F1 = (500 - F2*cos30)/sin45.

I applied that to Force Y so [(500 - F2 *cos30)/sin45] * sin45 = F2 sin30

I got totally confused at this point and I have no idea what to do. Am I even setting this up right?

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# Homework Help: What are the magnitudes of the two force components?

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