1
vote
1answer
90 views

Classical Mechanics and the Hamiltonian

This problem has to do with a canonical transformation and Hamiltonian formalism. Below is my attempt at solving it, but I am not too sure about it. Please help! Let $\theta$ be some parameter. And ...
3
votes
2answers
79 views

Are these integrals of motion?

What are the integrals of motion of a system with the following Lagrangian? $$L=a\dot{\phi_1}^2+b\dot{\phi_2}^2+c\cos(\phi_1-\phi_2)$$? where $a,b,c$ are constants, $\phi_1,\phi_2$ are angles and ...