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A particle of mass m moves along the x-axis. Its potential energy at any point x is V (x) = V, x²e* , V. = constant a. Determine the maximum total energy E, that the particle can have and still execute bounded motion. If E

A particle of mass m moves along the x-axis. Its potential energy at any point x is V (x) = V, x²e* , V. = constant a. Determine the maximum total energy E, that the particle can have and still execute bounded motion. If E

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A particle of mass m moves along the x-axis. Its potential energy at any point x is V (x) = V, x'e* , V. constant a. Determine the maximum total energy E, that the particle can have and still execute bounded motion. If E<E, is the motion necessarily bounded? Explain why. b. Sketch the different possible phase portraits. ( make the value of E vary)
Transcribed Image Text:A particle of mass m moves along the x-axis. Its potential energy at any point x is V (x) = V, x'e* , V. constant a. Determine the maximum total energy E, that the particle can have and still execute bounded motion. If E<E, is the motion necessarily bounded? Explain why. b. Sketch the different possible phase portraits. ( make the value of E vary)
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