1. The problem statement, all variables and given/known data Does a purely rotating body (something like a disk hinged at a point and rotating with some angular speed) have zero linear momentum? 2. Relevant equations 3. The attempt at a solution I believe it will, but I'm not like completely convinced. I tried to draw an analogy with a purely translating body having zero angular momentum, but that's only when the angular momentum is considered about the center of mass, not any random point. But linear momentum isn't defined with respect to points. So, I'm pretty sure that a purely rotating body has zero linear momentum, but I'd just like somebody to confirm it.