Solution Found!
The momentum p conjugate to the relative position r is
Chapter 8, Problem 8.5(choose chapter or problem)
The momentum p conjugate to the relative position r is defined with components px = and so on. Prove that p = pti. Prove also that in the CM frame, p is the same as Pi the momentum of particle 1 (and also p2).
Questions & Answers
QUESTION:
The momentum p conjugate to the relative position r is defined with components px = and so on. Prove that p = pti. Prove also that in the CM frame, p is the same as Pi the momentum of particle 1 (and also p2).
ANSWER:Step 1 of 7
The Lagrangian of a given two particle system is the sum of the expression related to the coordinate of the specific centre of mass and the relative coordinate of those two particles.
The Lagrangian expression can be given as,