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Homework Help: Polar complex question, similtaneous equations

  1. Mar 29, 2010 #1
    1. The problem statement, all variables and given/known data
    x=r*cos(theta) y=r*sin(theta)
    Ur=Ux*cos(theta)+Uy*sin(theta)
    Utheta=-Ux*r*sin(theta)+Uy*r*cos(theta)
    Vr=Vx*cos(theta)+Vy*sin(theta)
    Vtheta=Vy*r*sin(theta)+Vx*r*cos(theta)

    cauchy rieman equations, Ux=Vy Uy=-Vx and for polar Ur=(Vtheta)1/r Vr=(Utheta)(-1/r)

    show that Ux=Ur*cos(theta)-1/r*Utheta*sin(theta) and Vx=Vr*cos(theta)-1/r*Vtheta*sin(theta)

    3. The attempt at a solution
    I got told i need to use simultaneous equations.. ive tried soo amny times but all i get is Ux=Ux 0=0 or 1=1.... please can someone put me on the right track
     
  2. jcsd
  3. Mar 29, 2010 #2
    ok i can work backwards form the answer, and see that is is correct... but i dont know how to show Ux and Vx from what i have got.
     
  4. Mar 30, 2010 #3
    anyone?
     
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