I recently started having the problem with my washer. It fills and agitates for a while but stops just short of the rinse cycle. If I push in the timer knob and let it sit for about 2 hours, I can pull the knob back out and it will finish the complete wash cycle. I have bypassed the lid switch to remove the possibility that the switch was the problem. I suspect the timer but wonder, could I be missing something? 
Would it drain and spin before it stopped?
Would it make any noise if you will try to restart the washer right after it stopped?
Gene.
When i run it in the regular cotton wash, washer stops just somewhere between the Light wash setting and where it drains before the rinse cycle. If I move the dial at all it still wont do anything. Its not draining. If I push in the timer knob for a couple of hours, then pull out the timer knob, it will pick up where ever the timer knob is set at. A little strange I know. It’s almost like the timer is overheating and stops working untill it cools down.
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…It’s almost like the timer is overheating and stops working untill it cools down…
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More likely it is the motor which overheats and stops due to its overload protections. You also may want to check the wire harness to the timer.
- The motor 8529936
Gene.