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I am having quite an issue solving this resultant force question:

The following forces act on a point in the same plane: 40N direction due north; 10N direction due east, 40N direction 50° south of west, 20N direction northwest and 15N direction 20° south of east. Calculate the value and direction of the resultant force.

I have drawn up the question to look like this:

http://img98.imageshack.us/img98/5219/forcesresultant.jpg [Broken]

I have figured out the components of all forces other than at point E. How would I go about calculating the angle between E and the x axis?

2. Relevant equations

3. The attempt at a solution

So far I have:

A = 40j

B=10i

C= 15 cos 20i-15sin20j

D=-40cos50i-40sin50j

E=-20cos(x)i+20sin(x)j

How would I go about calculating the angle? I am thinking it might be 90-50=40° but not 100% sure.Thanks in advanced.

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

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# Homework Help: Resultant Force

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