Classify equilibrium position as either stable or unstable

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A mass is trapped on the x-axis. Its potential energy is given by U=-2x^3 -3x^2 +12x. Where x is i meters and U is in joules. A) Determine an expression for the force that acts on the mass as a function of position. B) Determine all positions of equilibrium(at equilibrium the net force=0). C) Classify each equilibrium position as either stable or unstable.

Reference no: EM13340814

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