# Hamiltonian question

1. ### Maybe_Memorie

351
1. The problem statement, all variables and given/known data

Find the Hamiltonian and Hamilton's equations of motion for a system with two degrees of
freedom with the following Lagrangian

L = 1/2m1$\dot{}xdot$12 + 1/2m2$\dot{}xdot$22 + B12$\dot{}xdot$1x2 + B21$\dot{}xdot$1x1 - U(x1, x2)

Explain why equations of motion do not depend on the symmetric part of Bij.

2. Relevant equations

3. The attempt at a solution

No problem finding the Hamiltonian and the e.o.m. The last part is the problem. All I can think of is that the symmetric part is diagonalised to become the mass, since in general for a lagrangian you have L = 1/2 aij(q)$^{}qdot$2

Last edited: Jan 17, 2012