ApointmassM

Chapter 13, Problem 2

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ApointmassM isattachedtoaninnitehomogeneousstringattheorigin by means of a spring. This leads to the wave equation (with a speed c) with the jump conditions T[ux(0+,t)ux(0,t)]=ku(0,t)+ Mutt(0,t) =ku(0+,t)+ Mutt(0+,t). Find the reected and transmitted waves if a wave f(x ct) is initially travelingfromtheleft(i.e., f(x ct)=0for x 0,t 0).Forsimplicity, take c = T =k = M =1=c1 =c2.

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