This post has been sitting in my mind for quite some time. Really, it is about mechanics - not about pendulums. What is the goal in mechanics (classical mechanics, if you like)? Generally, it is to ...

This video presents a full Lagrangian analysis of a pendulum attached to a moving cart. You’ll learn how to choose generalized coordinates, construct the Lagrangian, and derive the coupled equations ...

Looking back at part I of this idea, I don't think I did a very good job. Let me summarize the key things I wanted to say: Normally, there are two ways of modeling the motion of an object: Calculating ...