If the potential energy for a conservative one-degree-of-freedom system is expressed by the relation V = a

Question:

If the potential energy for a conservative one-degree-of-freedom system is expressed by the relation V = a sin(θ) + b cos(2θ), 0 deg ≤ θ ≤ 180 deg , determine the equilibrium positions and investigate the stability at each position.


Given:

a = 24 ft⋅ lb b = 10 ft⋅ lb

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