Bead on a Rotating Hoop
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This Demonstration uses Lagrangian mechanics to simulate a system in which a bead is free to slide along a frictionless hoop. The plane of the hoop is horizontal, and its center travels on a horizontal circle about a given point with constant angular velocity.
Contributed by: Will Bunting, Jack Chen, and Mitchell Stern (March 2011)
Open content licensed under CC BY-NC-SA
and are the initial angle and initial angular velocity of the bead on the hoop, respectively.
"Bead on a Rotating Hoop"
Wolfram Demonstrations Project
Published: March 7 2011