Lagrangian Mechanics: Would a Block Fall Off a Parabolic Path?

This is part of my classical mechanics series. You can find all my videos in the series in the following playlist.    • Classical Mechanics 1 F24   A mass slides down a frictionless slope that has a parabolic curve. Would the mass ever lose contact with the surface? This solution uses forces constraint from Lagrange Multipliers. Here is the python code https://trinket.io/glowscript/4ce9560...