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5) A particle of mass m moves in a the potential U(x) = 42x2 - 4. The coordinate range of x is restricted to be

5) A particle of mass m moves in a the potential U(x) = 42x2 - 4. The coordinate range of x is restricted to be greater than zero. a) Find To, the position of the minimum of U(x). b) find the Taylor series expansion of U about To to quadratic order. c) Find the equation of motion for the particle assuming that the oscillations are small. What is the period of oscillation

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