What are the answers to the following problem on the reflection coefficient off of a mass-spring system?

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(2) Reflection Coefficient off of a Mass-Spring System: Consider a mass m connected to a fixed wall through a spring of constant ks, coupled to a semi-infinite string of tension T and linear density (with wave velocity v = ). We will compute reflection coefficient of waves in the string off of the mass on a spring, as a function of wave frequency w. Because the reflection coefficient is frequency dependent, f(x-vt) is no longer a good solution at the interface; instead we take a guess of the form Aew(x/vt) for the incident wave, Areiw(-x/v-t) for the reflected wave and y(t) = Aeroeiwt for the mass. M ks a) What relationship is between k and w that satisfies the wave equation away from the mass-spring interface? b) What are the kinematic equations at the interface? Solve them in parallel to compute A and Ar in terms of Ai. c) What is the magnitude of A? Why is this? Ar (2) Reflection Coefficient off of a Mass-Spring System: Consider a mass m connected to a fixed wall through a spring of constant ks, coupled to a semi-infinite string of tension T and linear density (with wave velocity v = ). We will compute reflection coefficient of waves in the string off of the mass on a spring, as a function of wave frequency w. Because the reflection coefficient is frequency dependent, f(x-vt) is no longer a good solution at the interface; instead we take a guess of the form Aew(x/vt) for the incident wave, Areiw(-x/v-t) for the reflected wave and y(t) = Aeroeiwt for the mass. M ks a) What relationship is between k and w that satisfies the wave equation away from the mass-spring interface? b) What are the kinematic equations at the interface? Solve them in parallel to compute A and Ar in terms of Ai. c) What is the magnitude of A? Why is this? Ar