The generalized coordinates of a simple pendulum are the angular displacement (theta) and the angular momentum (m
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The generalized coordinates of a simple pendulum are the angular displacement \(\theta\) and the angular momentum \(m l^{2} \dot{\theta}\). Study, both mathematically and graphically, the nature of the corresponding trajectories in the phase space of the system, and show that the area \(A\) enclosed by a trajectory is equal to the product of the total energy \(E\) and the time period \(\tau\) of the pendulum.
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In terms of the variables theta and Lleftm ell2 thetaight the state of the simple pendulum i...View the full answer
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