book:chap6:6.3_dynamics_with_one_degree_of_freedom
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book:chap6:6.3_dynamics_with_one_degree_of_freedom [2022/02/14 14:03] – abril | book:chap6:6.3_dynamics_with_one_degree_of_freedom [2022/04/12 13:53] (current) – abril | ||
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This EOM can once be integrated by the same strategy adopted for the swing and the spherical pendulum. | This EOM can once be integrated by the same strategy adopted for the swing and the spherical pendulum. | ||
Thus, one finds the effective potential | Thus, one finds the effective potential | ||
+ | <wrap # | ||
\begin{align*} | \begin{align*} | ||
U_{\text{eff}}(\theta) = -\omega^2\; \cos\theta \; \left[ 1 - \left( \frac{\Omega}{\omega} | U_{\text{eff}}(\theta) = -\omega^2\; \cos\theta \; \left[ 1 - \left( \frac{\Omega}{\omega} |
book/chap6/6.3_dynamics_with_one_degree_of_freedom.txt · Last modified: 2022/04/12 13:53 by abril