Why does a wheel spinning on a space ship cause the ship to rotate in the opposite direction around the ship’s center, regardless of the location of the wheel?

Question

Intuitively it makes sense when the wheel is located at the center of mass on the ship/axis of rotation, but I can’t wrap my head around how it makes sense when the wheel is located somewhere else

In: Physics

Answer 1

Think of two gears turning against one another, except you have a large gear with a hole (where the wheel of the ship is)turning against a smaller gear on the inside of that hole, only in this case the rotation forces would travel through the floor/other materials