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


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Details

and are the initial angle and initial angular velocity of the bead on the hoop, respectively.



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