So people are familiar with the idea of holding a spinning bicycle wheel while on a stool (whose seat can spin). You then tilt the spinning wheel and lo and behold you start to spin on the stool.
Ok fine, I get that (conservation of Angular momentum).
So the real question is: if I have 2 wheels mounted on the same axis and they are spinning in opposite directions, does the angular momentum cancel out? Do you still spin if you are tilting them while on the stool?