Physics

Problem

A standing wave is formed by two harmonic waves,

y_1 = A \text{sin}(kx - \omega t)

and

y_2 = A \text{sin}(kx + \omega t)

travelling on a string in opposite directions. Mass density of the string is

\rho

and area of cross-section is

S

. Find the total mechanical energy between two adjacent nodes on the string.