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Analytical Vector methods for a four bar linkage

  1. Mar 21, 2013 #1
    1. The problem statement, all variables and given/known data
    In a four bar linkage r0=30mm, r1=10mm, r2=35mm, r3=20mm and theta1=45 degrees. Calculate theta2, theta3, Vc, W2, and W3 assuming that W1=30 rad/s ccw.


    2. Relevant equations
    R1*costheta1 + R2*costheta2 - R3*costheta3 - R0*costheta0 = 0 (3-x)
    R1*sintheta1 + R2*sintheta2 - R3*sintheta3 - R0*sintheta0 = 0



    3. The attempt at a solution
    I wasn't sure about this equation from the start since I think it relies on knowing two angles and I only know one.
    I first plugged in for
    10*cos45+35*costheta2-20*costheta3-30*costheta0
    10*sin45+35*sintheta2-20*sintheta3-30*sintheta0
    equals
    5.252+35*costheta2-20*costheta3-30*costheta0
    8.509+35*sintheta2-20*sintheta3-30*sintheta0

    and I'm already wondering what I should do from here.
     
  2. jcsd
  3. Mar 21, 2013 #2

    SteamKing

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    A picture of the linkage would be nice.
     
  4. Mar 23, 2013 #3
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