So I have been reading about conservation of linear momentum and conservation of angular momentum of a rotating object. For example a thin rod resting horizontally on the a flat surface. If this rod is being hit by a small object(collision), the rod will rotate about it's center of mass and will have both translational and rotational motion and therefore both linear and angular momentum are conserved. But how about if this rod is now pinned at it's center(still resting on the flat horizontal surface), if the small mass comes to collide again, I think angular momentum is still conserved but linear momentum is NOT conserved because the rod cannot have translational motion. Am I right???