# Rigid Body Lagrangians

by castusalbuscor
Tags: lagrangian, rigid bodies
 P: 16 1. The problem statement, all variables and given/known data two particles, $$m_{1}$$, and $$m_{2}$$ are connected together by a thin masses rod of length d. The system moves under a uniform potential function $$U(r_{1}^{\rightarrow}, r_{2}^{\rightarrow})$$. What is the Kinetic energy of the system in cartesian coordinates? 2. Relevant equations The constraint equation we were given: $$f(r_{1}^{\rightarrow}, r_{2}^{\rightarrow}) = |r_{1}^{\rightarrow}, r_{2}^{\rightarrow}| = d$$ 3. The attempt at a solution I am not sure how to approach the problem, any hints on how I can start this would be great!