2, For a system of particles, prove that its total angular momentum about an origin is the sum of the angular momentum of the center of mass about that origin and the angular momentum of the system about the position of the center of mass . 25%

5. Two particles of mass m and m2 move in a plane and interact with each other by a central forces with the potential energy U{r)=M2 k r2，where A: is a constant, r叫ri-r2|, ri and 1*2 are position vectors of the two particles. (a) [5%] Write down the Lagrangian of the system.

2, For a system of particles, prove that its total angular momentum about an origin is the sum of the angular momentum of the center of mass about that origin and the angular momentum of the system about the position of the center of mass . 25%

相關申論題

相關試卷