(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A 30-cm long string, with one end clamped and the other free to move transversely, is vibrating in its second harmonic. The wavelength of the constituent traveling waves is:

A) 10 cm

B) 30 cm

C) 40 cm

D) 60 cm

E) 120 cm

2. Relevant equations

[tex]L = n(\frac{1}{4}\lambda)[/tex]

3. The attempt at a solution

First, what I tried was this:

[tex].30 = 2(\frac{1}{4}\lambda)[/tex]

[tex]\lambda = .60[/tex]

The answer, however, was C) 40 cm.

So, when I changed 2 to 3, like this:

[tex].30 = 3(\frac{1}{4}\lambda)[/tex]

[tex]\lambda = .40[/tex]

I got the correct answer.

So, does the constituent traveling wave mean the wave with the next harmonic number? Somehow, I don't think that is correct. Constituent means 'component' and such.

I don't understand the concept behind this, why do you use the harmonic number of 3?

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# Homework Help: Constituent traveling waves and strings and vibrations

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