I don't agree that Edi's example of the breakage point in the cello neck/heel says anything about the "pivot point".
My nail puller has the greatest range of movement (~ = most likely point of breakage) where the nail is engaged, but the pivot point is several inches away. And it is much easier to pull the nail out when the lever is closer to horizontal than when it is closer to vertical (torque).
Sotto voce: Some of this thread brings back bad memories. I was crap at applied mathematics, but good at pure mathematics, so could not calculate where the projectile was going to land - sad.