Uploaded August 2022 | Updated September 2026, 3 hours ago
In this video, I demonstrate a way of using Lagrange multipliers to solve for when a ball looses contact with a circle that it's rolling off of. This technique could be applied to other cases where a constraint applies for only some of the time evolution of a system, and it is necessary to calculate the point where it stops applying.
Typo at 2:25: On the RHS of the first equation of motion, there should be a square on the theta-dot.
In this video, I demonstrate a way of using Lagrange multipliers to solve for when a ball looses contact with a circle that it's rolling off of. This technique could be applied to other cases where a constraint applies for only some of the time evolution of a system, and it is necessary to calculate the point where it stops applying.
Typo at 2:25: On the RHS of the first equation of motion, there should be a square on the theta-dot.
