Normal Modes for Coupled Oscillators Using the Eigenvalue Problem

[@amoghsiddhu952]

this channel is very underrated. Great Work, love all your videos.

[@tomoki-v6o]

2:04 for 2nd normal mode, the two masses and the middle spring move like on rigid body, thanks for the animation.

[@jaidevgatla9685]

its a fantabulous explanation sir!!!!!!!!!!

[@DotPhysics]

Thanks and welcome

[@stewartcopeland4950]

Both entertaining and instructive, thank you!

[@DotPhysics]

Glad you enjoyed it!

[@LaithMMA]

Beautiful explanation. Thank you.

[@DotPhysics]

Glad you liked it!

[@mikesachse5891]

The code seems to work fine but why don't the frequencies work out? When m1=m2=m and k1=k3=k the normal modes w1=sqrt(k/m) and w1=sqrt((k+2k2)/m). For the values in he code k=10, k2=5, m=0.15 w1=8.1 w2=11.5. The code yields frequencies of approximately w1=1.3, w2=1.8

[@henryrroland]

11:30 How did e⁻ⁱʷᵗ appear? I didn't understand why it appeared multiplying on the matrix side

[@DotPhysics]

If we assume a normal mode, the solution will have the same as simple harmonic motion - so picking e^iwt works (with a constant as the vector). When you take the derivative twice, you get the same thing back with a constant. Here's a blog post on this - that might help too rjallain.medium.com/the-physics-of-coupled-oscillators-ce2005f9bccd

[@Hohoooooyyy]

Wowww🎉. Best video on youtube🫡🫡

[@isaacharton7851]

Keep it up!

[@aibelljivensen6470]

pog

[@عذراءالغراوي-ح9ض]

ولعباس ابو فاضل لو مامحصورة باجر فلا اشوف هلمحاضرة الخايسة