A system has potential energy U(x) x sin((2 rad m)x) as a particle moves over the range 0 m x m a Where are the equilibrium positions in this range b For each, is it a point of stable or unstable equilibrium

Question: A system has potential energy U(x) = x + sin((2 rad/m)x) as a particle moves over the range 0 m x m.

A system has potential energy U(x) = x + sin((2 rad/m)x) as a particle moves over the range 0 m ≤ x ≤ π m.
a. Where are the equilibrium positions in this range?
b. For each, is it a point of stable or unstable equilibrium?

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