Actually commutation is just nothing but changing the direction of the current. in electrical fields, the force direction is mainly depends upon how the current cuts the magnetic field. Let us take the diagram of the first link which is given above by sophiecentaur. The field direction goes from right to left (from north to south) and current flows towards outside near north pole same but current is in opposite direction near south pole. now the force acting near the north pole is equal to F = I*a*B (I-current,a-length of the wire,b-magnetic field) please note I and B are vectors. so the force experienced at the north pole is downwards. at the south pole the force is same but direction is directly opposite to north pole because current direction is opposite. this creates the torquewhich makes the coil to rotate.
Here comes your question, if you don't use the commutator (changing the current direction), still this will work up to 90 degree it may even go beyond 90 degree due to inertia but after this the coil will start oscillate back and forth then finally it will halt at 90 degree (where force and torque both are zero) due to change in force directions. if you use commutator, once the coil goes beyond 90 degree the current direction changes which makes forces to continue in the same direction so your motor never comes to halt it continue rotation in the same direction.