[2019CM/QUIZ-02]

Classical Mechanics               June 17, 2019   

Quiz-II

1. For a system with coordinates \(q_k\) and canonical momenta \(p_k\), compute the Poisson brackets \begin{equation} \{q_k, F(q,p)\}_\text{PB}; \qquad \qquad\{p_k, G(q,p)\}_\text{PB} \end{equation}
2. Set up Lagrangian for a coupled pendulum shown in figure below. Assume that the system while oscillating remains in a vertical plane.