In fact there is a thin elastic string stitched to a normal string (to be considered as a continuum) and I must find the speed wave in this new thicker string.
Don't the mass of the thin elastic string, all what is found is the tension T, the linear density and also the speed wave in the normal string (v=sqrt(T/mu).
But the speed wave in the new thicker spring by using Hooke's Law F=-k.x?
At equilibrium T=-k.x, I know T and k(new length - original length),so I can find k(spring constant) but then to find the new wave speed,for me it is the same consider the same new length and the negligible mass of the thin elastic string?