Vibrating systems + differential equations

[hwud1]

Shouldn't the over-damped sketch look like that with Oil, without an over-shoot? (since it is more damped than the critical damping) - Correct me if I am wrong.

[DrChrisTisdell]

@hwud1 No, not necessarily. The system can return to rest without overshoot (as you say) but it could also overshoot and then return to equilibrium (without oscillations).

[hwud1]

@DrChrisTisdell Thanks Chris, for the clarification :)

[Nicola72av]

What a beautiful lesson!

Thanks a lot Dr Chris!

I send you a dear greeting from Italy.

Have a nice day!

Nicola

[jsm666]

Oh YES. Being able to work the math on this sort of real-world application is why I started watching your vids in the first place. I understand this a LOT better now. Thank you.