Text: Classical Mechanics by John Taylor
Chapter 7: Lagrange’s Equations
Coupled Pendulum The coupled pendulum connected by a spring is a demonstration with complex modes and movement that can be modeled with the Lagrangian. Seeing the different modes in action is a great way to relate the physical to the math.
A series of ramps demonstrating the fastest path between two points.
Chapter 10: Rotational Motion of Rigid Bodies
Motor-driven Gyroscope This demonstration is a good one to present during the lesson on rotational motion for rigid bodies. By adding and subtracting weight from the gyroscope you can see how the precession of the gyroscope will change.
Gyroscope to Measure Precession This gyroscope demonstration shows not only precession, but will also show the different nutation patterns that occur when the gyroscope is pushed off balance.