Lagrangian Forces of Constraint - Will a Block Sliding Down a Parabola Ever Fall Off?

Explore the fascinating physics problem of a block sliding down an inverted parabola in this 28-minute video lecture from Dot Physics. Analyze the conditions under which a frictionless block, starting from rest near the top of the parabola, may lose contact with the surface. Delve into Lagrangian forces of constraint and learn how to determine the block's trajectory. Access the accompanying code used in the demonstration and compare this scenario with a similar problem involving a block on an inverted sphere. For a deeper understanding of classical mechanics, check out the linked Second Semester Classical Mechanics playlist.