[QUE/CM-02037] An Uphill Problem

Watch the yoututbe video. 

https://www.youtube.com/watch?v=SUjY0sdtGus

1. Describe what you see in the video.
2. Set up the Lagrangian for (a) cylinder, (b) a double cone, rolling on the rails.
3. Solve the equations of motion and show that the cylinder climbs down while the double  cone will climb up  the rails.