# Angular momentum and its conservation

 P: 4 1. The problem statement, all variables and given/known data Check out the attached image. A is a fixed axis. An impulsive force P =FΔT is given to the rod from a distance x. As a reaction to that, an impulsive force PA =FA ΔT is transmitted to A. The rod has a length l and mass M. 2. Relevant equations a. Velocity v of the center of mass G just after the collision. (express in function of P, PA and M ) b. The value of the impulsive force PA (express in function of l, x and P) 3. The attempt at a solution a. I think the center of mass is supposed to translate just after the collision. According to the law of the translating motion: $\sum external forces$ = change in momentum. So, I did P = PA + Mv And I can get v from that. (Am I right here?) What I don't know is: The axis A is fixed ===> The center of mass IS NOT SUPPOSED TO TRANSLATE but ROTATE. If I am thinking of using the angular momentum stuff, I will get a new variable: l (length of the rod). However the question asked if to express v in function of P, PA and M and l is not mentioned. b. NO IDEA. I was thinking of using the angular momentum and apply its conservation but if I call the angular momentum, I will get a new variable M (mass of the rod) which is not asked to use to express PA Looking forward for your help. Tsopa, Japan :D Attached Thumbnails