Recent content by kiranm

for the above where i had cos(kx-wt)= By/(mu*w^2-Tk^2) the denominator mu*w^2 - Tk^2=0 because v^2= w^2/k^2 = T/mu and cross multiply this makes mu*w^2-Tk^2=0

and would you know how to derive the dispersion relation w(k), the wave speed v, and the group velocity vg?

Yeah that's what was given in the question but its B/mu * y but it says that B represents the spring constant

For a real stretched string, the wave equation is (partial deriv)^2 (u)/partial deriv t^2 = (T/mu) (partial deriv)^2 (u)/partial deriv x^2 - B/mu(y) where T is the tension in the string, mu is its mass per unit length and B is its "spring constant". Show that the wave given by u =...

but I am not understanding how this tells u that the wave propagates at constant speed with no change in its profile compared to the other two wave disturbances? and how can u tell that y1 is a stationary wave whose amplitude is decreasing exponentially with time and that y3 is a traveling...

and how can u tell that y1 is a stationary wave whose amplitude is decreasing exponentially with time and that y3 is a traveling wave also decreasing exponentially with time?

but I am not understanding how this tells u that the wave propagates at constant speed with no change in its profile compared to the other two wave disturbances?

is the Re(y2) not A cos(4x-2t) instead of A cos(3x-2t) (posted above) cus how would you get to that answer?

so would it be exp(4ix-2it) = exp i(4x-2t)= cos (4x-2t) + i sin (4x-2t)?

Homework Statement how do I take the real part of y2= A exp (4ix) exp (-2it)? And how does this determine that this wave propagates with constant speed compared to these wave disturbances: y1= A sin (5x) exp (-2t) y3= A sin (2x-5t) exp (-2t) Homework Equations exp(ix)=...