(DiffEQ, Fall 23) 12 - Spring-Mass-Damper systems

We discuss spring-mass-damper systems which have the generic form of mx'''+cx'+kx=0 where m is mass, c is damping constant, and k is spring constant. We also talk about the different types of behavior that can occur, e.g. undamped, under damped, critically damped, and over damped.

0:00 Setup of spring-mass-damper systems
5:38 Example (spring-mass-damper system)
17:49 Types of behavior for damping
26:29 Example (critical damping)

[omarkhalaf]

you saved me from my diffEQ midterm. I was never able to fully grasp the concepts behind spring-mass-damper systems, but you sir explained it so simply. Thank you 🙏