# A particle is constrained to move along the positive x-axis under the influence of a force...

###### Question:

A particle is constrained to move along the positive x-axis under the influence of a force whose potential energy is U(x) = U_0(2 cos x/a - x/a) where U_0 and a are positive constants. Plot U versus x. A simple hand sketch is fine. Find the equilibrium point(s). For each equilibrium point, determine whether the equilibrium is stable or unstable.

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