The wire described in the preceding problem is now forced to rotate about its vertical axis of

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The wire described in the preceding problem is now forced to rotate about its vertical axis of symmetry with constant angular velocity \(\Omega\).

(a) Find \(\Omega_{c}\), the critical value of \(\Omega\) for which the equilibrium point at \(x=0\) is no longer a stable equilibrium point, and find the values of \(x\) for which there is then a stable equilibrium point for the bead.

(b) Find the frequency of small oscillations of the bead about each of any new equilibrium points.

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Related Book For  answer-question

Modern Classical Mechanics

ISBN: 9781108834971

1st Edition

Authors: T. M. Helliwell, V. V. Sahakian

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