Hello,

I plan to write a bunch of posts about simulating dynamic systems using Python.

I will be using the mass-spring-damper (MSD) system as an example through those posts so here is a brief description of the typical MSD system in state space.

#### Mass-Spring-Damper System

The differential equation that describes a MSD is:

$latex m \ddot{x} + c \dot{x} + k x = u$

x : position of mass [m] at time t [s]

m : mass [kg]

c : viscous damping coefficient [N s / m]

k : spring constant [N / m]

u : force input [N]