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susdu
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Homework Statement
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?
Homework Equations
v=sqrt(Fτ/μ)=w/k
k=2π/λ
standard wave equation and solutions
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?