# what does “push” (IDK if I'm using the term correctly) consist off

Ok so I know that the (simplified) equation for force is $F=ma$, but here is what I don't grasp. If given that to get more $F$ you need either more $m$ or more $a$, then how come, if I'm pushing something e.g.: let's say I'm arm wrestling with someone, and I "lock" my arm, meaning that I'm not pushing forward just staying in place, how come I can resist his force, if I'm not increasing either my mass or my acceleration?

• What does "simplified" refer to? As the answer below points out, $F=ma$ is not a simplified equation; it's a wrong equation. The correct one is $\sum F=ma$. – Steeven Sep 8 '16 at 7:24
• thx, I've been corrected and do apologize for the mistake – Bruno Sebastian Messeguer Cobo Sep 8 '16 at 11:21

$F=ma$ is a little too simplified. It's really $\sum F=ma$: the sum of the forces acting on an object is equal to its mass times its acceleration. You have to account for all of the forces involved.