Physics Ninja looks at the Energy and power transmitted in transverse waves. The Total average energy of a transverse wave is first calculated by looking at kinetic and elastic potential energy.
Does this mean that if I want to find the total energy of the wave I just multiply the energy across one wavelength by the total number of wavelength that are formed across the length of the rope?
KE, which depends on velocity (y direction) is highest near y=0 and is 0 at the amplitude (since velocity is 0) PE on the other hand, or to be more accurate EPE, is maximum at the amplitude, and 0 at the y=0. To conclude, near y=0 the particle (small portion of the rope) has KE > PE while near the amplitude the PE > KE.