This problem is very easy, but there is some conceptual point of view I am missing.
There is a vertical rod of lenght L without mass on its own that has two masses, m1 and m2, attached at each end standing on point P at a table. The rod is at unstable equilibrium at first. The only force is gravity and there is no friction between the m2 and the table. The systems is moved from it equilibrium, and the rod falls down.
Lenght of rod: L
Rod has no mass
No friction with the table
P the point where the rod stands vertically.
2. Relevant equations
At what distance of P will each mass fall?
3. The attempt at a solution
I tried to work this out with conservation of linear momentum but I could not succeed.