Hello, I am currently reading about what was given in the title of this thread. In my book, it discusses the motion of a cylinder rolling on a surface without slipping; the cylinder is rotating about an axis, and it's center of mass has translational motion. What exactly do they mean rolling without slipping? The book also mentions a relationship between the rotational and translation motion when there is no slipping, what would happen if there was slipping? Why wouldn't there be a relationship if there was slipping?