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Statement of a problem № 3114

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Consider a particle of mass m moving in one dimension under a force with the potential U (x ) = k(2x^3-5x^2 + 4x ), where the constant k > 0. Show that the point x = 1 corresponds to a stable equilibrium position of the particle.

Solution:
Consider a particle of mass m moving in one dimension under a force with the pot

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