Finding Lambda 4 for mechanical harmonics

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SUMMARY

The equation for lambda four in mechanical harmonics is established as lambda4 = 2L/4. This conclusion follows a discernible pattern from previously known equations: lambda1 = 2L, lambda2 = L, and lambda3 = 2L/3. The user initially struggled to find this equation in textbooks and online resources but ultimately derived it independently.

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  • Understanding of mechanical harmonics
  • Familiarity with wave equations
  • Basic knowledge of physics principles
  • Ability to identify patterns in mathematical equations
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  • Study wave equation derivations for various harmonic frequencies
  • Explore applications of harmonic frequencies in real-world physics problems
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Students studying physics, particularly those focusing on wave mechanics and harmonics, as well as educators seeking to clarify concepts related to mechanical harmonics.

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Homework Statement



I am trying to find the equation for lambda four for mechanical harmonics.

Homework Equations



I know that lambda1=2L, lambda2=L, lambda3=2L/3, but neither google nor my textbook have the equation for lambda4!

The Attempt at a Solution



I have searched my physics textbook, class notes, and google for this and have come up with absolutely nothing.
Can anyone please assist? I would greatly appreciate it!
Thank you!
 
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OH my gosh I'm such a dork. Lambda4= 2L/4, I figured out the pattern all by my lonesome. Geez, I'm bad at physics!
 

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