(adsbygoogle = window.adsbygoogle || []).push({}); 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!

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# Homework Help: Traverse Wave on a String

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