Yes -- exactly why electrical circuit simulation tools sometimes get used in non-electronics contexts. Here's a simulation of your spring-mass-dashpot system in CircuitLab (JS-based circuit simulator, which also works for some mechanical models like this): https://www.circuitlab.com/circuit/pr4n2d/physics-car-suspen...

We also have some combined electrical and thermal systems such as https://www.circuitlab.com/circuit/a4xaa6/sous-vide-combined... . Looking forward to the rest of your blog series!