I'm guessing the question is why doesn't up and down force cancel out, hence motor stops moving?
We recently did a practical on this and theoretically, it should stop rotating when the coil is at the half way line, however motors are designed with a gap in between them (the split ring commutator in this case). what it means is that as it goes to half way mark, the momentum of the coil allows it to continue rotation through the gap, and as the opposite sides are now attached to the split ring commutator the current continues flowing the same way as in the diagram, hence the motor keeps spinning. The commutator effectively acts like source of Alternating Current.
It's alot easier to explain with a whiteboard or something but I hope it helps!