Principle of superposition

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Homework Statement


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


Homework Equations


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


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?
 

Answers and Replies

  • #2
kuruman
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Is x = 0 the only value of x at which sin(kx) = 0?
 
  • #3
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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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