WOLFRAM|DEMONSTRATIONS PROJECT

Bead on a Rotating Hoop

​
angular velocity
π
2
rod length
1
θ
0
π
4
ω
0
0
hoop radius
0.25
animate
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.