I think things just came into focus for me. It had bothered me that the kinetic energy after the collision was dependent on the point of contact between the rod and particle but I realized that since the collision was inelastic to begin with, this isn't a problem. Thanks for the response; I was...
Thanks for the response.
I can see the initial angular momentum about the combined cm now but it bothers me that the angular momentum about the combined cm is still dependent on the particle's actual trajectory and not just on its momentum vector while the particle-rod system's linear...
Consider a frictionless plane. A particle of known mass and velocity (say a lump of clay) strikes a uniform rod (for simplicity let the rod be stationary in the lab frame) and sticks to it somewhere other than at the rod's center of mass. I wish to describe the linear and angular velocity of the...