4.2 The Vibrating String equation

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We derive the vibrating string equation

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why represent the acceleration with a second order derivative?

aakolly

But rise/run is not the same as opposite/hypothenuse. It is a "tan", not "sin". We can use this simplification only for small angles. Thus it should be mentioned, that this equation only works for small deviations.

АлександрТарасов-фэ

Super, but du/dx = tg, not sin but for small , sin=tg..

mehmedtrumankukavica

Hi. I don't understand why you can use small-angle approximation here.

mazoffthegrid

I may be wrong in my perspective but guide me kindly how Rise/Run can be Opposite/Hypotenuse. while I am teaching or have been taught that Rise/Run= Opposite/Base. kindly correct me at 10:11. Thanking in Advance.

razawajid

Now i know where did this equation came from. Thanks

LudwigvanBeethoven

Hey there, I noticed you called this 4.2. Does this come from a textbook? If so, does the textbook happen to be "Applied Partial Differential Equations with Fourier Series and Boundary Value Problems" by Richard Haberman?

sconnieboy

What drawing software are you using?
Thanks

yuri_ambrosio

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