A sinusoidal transverse wave of small amplitude is travelling on a stretched string. The wave equation is `y = a sin(k x – omegat)` and mass per unit length of the string is `mu`. Consider a small element of length `Deltax` on the string at `x = 0`. Calculate the elastic potential energy stored in the element at time `t = 0`. Also write the kinetic energy of the element at `t = 0`.

Answer

`DeltaU=1/2 mu a^(2) omega^(2)Deltax; Deltak =1/2 mu a^(2) omega^(2) Deltax`