Determine the stability of the equilibrium position at the, Basic Statistics

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Determine the stability of the equilibrium position at the

A bead of mass m can slide on a smooth circular wire of radius a, which is fixed in a vertical plane. The bead is connected to the highest point of the wire by a light spring of natural length 3a/2 and strength λ.

Determine the stability of the equilibrium position at the lowest point of the wire in the cases (i) α = 2mg/a, and (ii) λ = 5mga.

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