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Solving for angle Alpha

  1. Sep 14, 2014 #1
    So I have a mechanics question 2.65 of which I have deduced the following :
    [TEX]x-Component of all forces[/TEX]
    [TEX]F1 = 150 cos30 [/TEX]
    [TEX]F2= 150 cos \alpha[/TEX]
    [TEX]F3 = 150 cos(\alpha+50)[/TEX]

    [TEX]y-Components of all forces[/TEX]
    [TEX]F1 = -150 sin30[/TEX]
    [TEX]F2 = 150 sin \alpha[/TEX]
    [TEX]F3 = 150 cos(50-\alpha)[/TEX]

    Finally, [Tex]R = \sqrt{(\Sigma Fx)^2 + (\Sigma Fy)^2} [/tex]

    Now we know the resultant is at max 600 N, how do we go about solving [TEX]\alpha[/TEX] ? I tried applying various trig formulas like angle addition and subtraction, but I couldn't isolate [TEX]\alpha[/TEX]. How would you go about solving for alpha?
     

    Attached Files:

  2. jcsd
  3. Sep 14, 2014 #2

    mfb

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    Staff: Mentor

    Set R to 600N, then plug everything in and see what you get (and please write it down here, so we can see where exactly you get stuck).
     
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