Sample Hamiltonian Problem

Sample Hamiltonian Problem - r o from the center of the...

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Physics 302 (Spring 1998) Second Exam (February 13, 1998) 1. [35 points total] A bead of mass m is free to slide without friction along a spoke of a wheel that spins about a vertical axis with constant angular velocity ϖ o . (Note: the spoke remains horizontal.) A. [10 pts] Find the Hamiltonian for the bead. Show your work. B. [15 pts] If the bead starts at an initial radial distance
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Unformatted text preview: r o from the center of the wheel with no initial velocity in the radial direction, find the subsequent radial position of the bead as a function of time. Show your work. Name Total Points 1. continued C. [5 pts] Is the Hamiltonian identical to the total energy of the bead? Justify your answer. D. [5 pts] Is the Hamiltonian of the bead conserved? Justify your answer....
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Sample Hamiltonian Problem - r o from the center of the...

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