A particular mode of a standing wave in a string is illustra

A particular mode of a standing wave in a string is illustrated below. At what points along the string is the maximum (over time) kinetic energy density greatest? What abou maximum potential energy density?

Solution

if the displacment of the particle is maximum then the potential energy is maximum.Therefore potential energy density maximum at crest and trough points.

If the displacment of the particle is minimum(i.e., zero) then the kinetic energy is maximum .Thereofre kinetic energy density is maximum at equilibrium points.