Challenge Problem #1: Waves
"Transmitted and Reflected Waves":
A sinusoidal wave is travelling on a string under tension $T = 8.0(N)$, having a mass per unit length of
$\mu_1 = 0.0128(kg/m)$. It's displacement function is $D(x,t) = Acos(kx - \omega t)$. It's amplitude is 0.001m and its
wavelength is 0.8m. It reaches the end of this string, and continues on to a string with $\mu_2 = 0.0512(kg/m)$
and the same tension as the first string.
Give the values of A, k, and $\omega$, for the original wave, as well as k and $\omega$ the reflected wave and the
transmitted wave.