Homework for Friday, Nov 6.  (due in class on Friday).
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41) Write the Lagrangian for a simple pendulum.
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Obtain the equation of motion from the Lagrangian.
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Expand to lowest in order in theta (for small deviations from
equilibrium).  Solve for x(t).
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42) Write the Lagrangian for a bead that moves without friction on
a circular wire loop that spins with frequency Omega.
Get the eqn of motion and solve for the stable and unstable
equilibrium positions... (as a function of Omega).
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Can you do a small parameter expansion in the vicinity of the (stable)
equilibrium position and solve for the frequency of small oscillations???
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7-6, 7-7, 7-13, 7-14
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