Question: A particle is constrained to move (without friction) on a circular wire rotating with constant angular speed w about a vertical diameter. Find the equilibrium

A particle is constrained to move (without friction) on a circular wire rotating with constant angular speed w about a vertical diameter. Find the equilibrium position of the particle, and calculate the frequency of small oscillations around this position. Find and interpret physically a critical angular velocity w = wc that divides the particle’s motion into two distinct types. Construct phase diagrams for the two cases w < wc and w > wc.

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