1. The problem statement, all variables and given/known data In a demonstration, a 0.45 kg horizontal rope is fi xed in place at its two ends (x = 0 and x = 5.0 m) and made to oscillate up and down in the fundamental mode, at frequency 4.0 Hz. At t = 0, the point at x = 2.5 m has zero displacement and is moving upward in the positive direction of a y-axis with a transverse velocity of 5.0 m/s. (a) What is the amplitude of the motion of that point? (b) What is the wave speed in the rope? (c) What is the tension in the rope? 2. Relevant equations w=2*pi*f k=2*pi*λ y(x,y)=Asin(wt-kx) v=sqrt(T/μ) v=λ*f 3. The attempt at a solution I already found to amplitude to be .199 m by taking the derivite of the wave equation and solving for A. For part B, though the wave speed would simply be wavelength*frequency, but 20m/s is not the correct answer. I tried to mess around with a few other equations but they led me nowhere. And for part C I know T is simply (v^2)*μ, but I obviously need to first find velocity. Any help would be grealty appreciated, thanks!