In this video, I go over the modeling of a basic DC motor as two ordinary differential equations.
Timestamps:
0:00 - Introduction
0:37 - Drawing the circuit
1:46 - Deriving electrical equation (KVL)
2:43 - Drawing the mechanical system and free-body diagram
4:42 - Deriving mechanical equation (sum of torques)
5:31 - Motor Constants (Kt and Kb)
7:21 - Putting it all together
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Errata:
I accidentally wrote Vin instead of V in the final electrical ODE
