(0) 6.11. Bead on a rotating hoop ** 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. 6.15). Find the equation of motion for the angle shown. 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?
(0) 6.11. Bead on a rotating hoop ** 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. 6.15). Find the equation of motion for the angle shown. 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?
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Transcribed Image Text:Fig. 6.15
6.11. Bead on a rotating hoop **
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. 6.15). Find the equation of motion for the angle shown. 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?
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