# Linear momentum

If a ball hits a rod at the top which is pivoted at bottom end then is linear momentum conserved?

Nugatory
Mentor
If a ball hits a rod at the top which is pivoted at bottom end then is linear momentum conserved?
Both linear and angular momentum are conserved as long as the system is closed (that is, you're considering total for the the ball, the rod, and whatever the other end of the pivot is attached to). If the other end of the pivot is fastened directly or indirectly to the earth and you are treating the earth as completely immobile (which is a really good simplifying assumption here) then rod+ball system is not closed, and the forces applied by the pivot to the rod can change both the linear and the angular momentum of that system.

Dale
But as written in Klepner introduction to mechanics only linear momentum is not conserved.

Ibix
In this particular case, all the forces @Nugatory is talking about pass through the hinge, so are always radial and don't affect angular momentum about the hinge. So angular momentum is conserved, yes. That isn't generally true, but it is in this case.

jbriggs444