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Propagating waves in string

  1. Apr 13, 2013 #1
    1. The problem statement, all variables and given/known data

    Two waves are propagating in a long uniform string of linear mass density μ and tension Fτ.
    Their equations are:

    y1=A1cos(k1x-w1t)
    y2=A2cos(k2x-w2t)

    Known: λ1 (wavelength of y1), λ2, A1, A2

    what is the vertical velocity of the string at x=2m and t=5s?

    2. Relevant equations

    v=sqrt(Fτ/μ)=w/k
    k=2π/λ
    standard wave equation and solutions

    3. The attempt at a solution

    just to check I'm on track. what I did was defining:
    g(x,t)=y1+y2 and finding all the missing varibles (w,k) using formulas.
    I then differentiated g with respect to t and plugged x=2,t=5 in the derivative

    is this correct?
     
  2. jcsd
  3. Apr 13, 2013 #2

    Dick

    User Avatar
    Science Advisor
    Homework Helper

    That would be the correct procedure, yes.
     
  4. Apr 13, 2013 #3
    thanks!
     
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