Introductory textbooks say that the potential energy density of linear tension waves in a one–dimensional string is
given by du = (1/2) ( @y/ @x)2, where y(t, x) is the displacement from equilibrium, = μv2 is the string tension, μ
is the linear mass density and v the wave speed. The kinetic energy density is given by dk = (1/2)μ( @y/ @t)2, such
that the total mechanical energy density is simply,
Introductory textbooks say that the potential energy density of linear tension waves in a one–dimensional string is
given by du = (1/2) ( @y/ @x)2, where y(t, x) is the displacement from equilibrium, = μv2 is the string tension, μ
is the linear mass density and v the wave speed. The kinetic energy density is given by dk = (1/2)μ( @y/ @t)2, such
that the total mechanical energy density is simply,
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