Just a small nitpick: the Tacoma Narrows bridge didn’t collapse because of resonance but because of flutter. It’s a common misconception.

For resonance the external driving force must match the resonance frequency of the system, but wind is rarely/never purely sinusoidal.

The article covers this:

> Follow-up 2: Yes, I know that the Tacoma Narrows Bridge collapse was not the result of resonance, but I felt I had to drop the reference to forestall the “You forgot to mention the Tacoma Narrows Bridge!” comments.

https://ocw.mit.edu/courses/18-03-differential-equations-spr...

Is flutter a derivative like jerk?

Ask me how I know you didn’t read the whole article!