Abstract: This paper analysed the movement of single, double and triple car inverted pendulum. It gives out the expression of general kinetic energy and general potential energy of N level car ...

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 ...

Explore the Lagrangian formulation of a uniform chain sliding off a table. This video breaks down generalized coordinates, kinetic and potential energy, and equations of motion for a clear and ...