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Homework Help: Principle of superposition

  1. May 23, 2010 #1
    1. The problem statement, all variables and given/known data
    given 2 waves y1=Ysin(kx-wt): y2=Ysin(kx+wt).
    derive expression of resultant displacement and expression of x(for resultant) where displacement always zero


    2. Relevant equations
    y=y1+y2
    sinA+sinB=2sin((A+B)/2)cos((A-B)/2)


    3. The attempt at a solution
    i solved first part:y= 2Y sin (kx) cos (-wt)
    but i dont understand the 2nd part. does it mean y=0 when sin kx=0? mean x=0?
     
  2. jcsd
  3. May 23, 2010 #2

    kuruman

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    Is x = 0 the only value of x at which sin(kx) = 0?
     
  4. May 23, 2010 #3
    I had figure it out.displacement is directly related to sin kx.displacement is Zero when kx equal to n*pai
    where n is integer.displacement always zero when x = n*pai/k.
     
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