Wave Equation Derivation - Transverse Waves on a String

Physics Ninja looks at the derivation of the wave equation for a wave on a string.

[sirwinston]

Nice derivation. I have watched a few other derivations and yours seemed to make the most sense to me. Appreciate it. Thank you.

[kina]

Always appreciate your quality videos. In this instance, does the equation only hold if the angles are small, which was our assumption in the derivation. Thank you.

[ecekaraa]

you explained one by one clearly. Thank you!

[griffithfimeto]

Since tension is unofirm and theta 1 equals theta 2 then sum of forces over Y equals zero not ma

[edoardo_rubino]

why do we use theta1=theta1 in the horizontal direction but not in the vertical direction?

[petergoh]

Why is delta(m) = mudelta(x)?
Shouldn’t it be mudelta(s) which is the segment along the string?
Or a we assuming since theta is small delta(s) and x are the same

[Neel-Joshii]

At 5:17 -- I understand that you used the small angle approximation assuming that both theta1 and theta2 would be equal along line segments bounded by delta x. My question is how exactly were you able to use the small angle approximation for ALL points along the string. Take for instance the points between any trough and peak, how would you be able to apply the approximation to those points where theta1 and theta2 would (at least by first glance) not be small enough to having sin (theta) = tan (theta)?

[kw]

What's the purpose of the small angle approximation here? And why do we assume theta is a relatively small angle?

[UtkarshPalBCE]

naah bro explained exponentially better than my proff. 😭

[anilkumarsharma]

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[ahmetcoskuntekin]

En büyük müsün bilmiyorum ama çok büyüksün ninja abi.

[IshanAtre-vvxm]

Thanks so much, really appreciate it🙌

[mrslave]

11:01 “previous” i didn’t watch. now i’m lost. please don’t tell me to watch another video now. 😢😢😢😢

[millenniumcreativestudio]

After this much approximation, I think the equation is literally useless.

[anilkumarsharma]

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