A bead is free to slide along a frictionless hoop of radius R. The hoop rotates with constant angular speed ? around a vertical diameter (see Fig). Find the equation of motion for the position of the bead. What are the equilibrium positions? What is the frequency of small oscillations about the stable equilibrium? There is one value of ? that is rather special. What is it, and why is it special?

Transcribed Image Text:

1 1 ( R