Hamiltonian canonical equations of motion for a conservation system are
A. $$\frac{{ - d{q_i}}}{{dt}} = \frac{{\partial H}}{{\partial {P_i}}}{\text{ and }}\frac{{ - d{P_i}}}{{dt}} = \frac{{\partial H}}{{\partial {q_i}}}$$
B. $$\frac{{d{q_i}}}{{dt}} = \frac{{\partial H}}{{\partial {P_i}}}{\text{ and }}\frac{{d{P_i}}}{{dt}} = \frac{{\partial H}}{{\partial {q_i}}}$$
C. $$\frac{{ - d{q_i}}}{{dt}} = \frac{{\partial H}}{{\partial {P_i}}}{\text{ and }}\frac{{d{P_i}}}{{dt}} = \frac{{\partial H}}{{\partial {q_i}}}$$
D. $$\frac{{d{q_i}}}{{dt}} = \frac{{\partial H}}{{\partial {P_i}}}{\text{ and }}\frac{{ - d{P_i}}}{{dt}} = \frac{{\partial H}}{{\partial {q_i}}}$$
Answer: Option D
This Question Belongs to Engineering Physics >> Classical Mechanics
Join The Discussion