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Compute all parts of given question:
Question: A 1.0 kg particle moves under the influence of the potential V(x) = - C x2 cos(3x), where C = 5 J/m2.
Part A: Determine the equilibrium points for this potential function. (If you encounter a transcendental equation in the process, using MATLAB to find a numerical approximation to the solutions is recommended.)
Part B: Find the frequency of small oscillations about the equilibrium points for this particle.
Part C: Can this particle oscillate about the origin (x = 0) ? Explain briefly.
Part D: How much total energy would this particle require to be able to just reach the point x = 0.2 m?
I need help to find the frequency of small oscillations about the equilibrium points for this particle and comment on the sign of your answer.
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