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This problem is usually caused by a lid switch not working. This is a would be on a top loading washer.
You would check the switch mechanically to see if it clicks and electrically to see if the switch will close the circuit.
The model number that you gave above does not show up. Please check it again. I think I know which one this is. However, I do want to be sure.
We would probably still check the switch either by disconnecting and using a ohm meter on it or by bypassing the switch to see if the machine will run that way.
If the switch is okay, the next thing to check is to see if there is something (article of clothing or anything) in the pump and/or outer tub that will prevent the machine from spinning.
You would remove the cabinet to check the between the tubs and it is easier that way to get to the pump. However, you can get to the pump from underneath if you tilt it back against the wall.
If the motor agitates we usually don't go to the motor first. The result you got still could point to couple of items.
Did you check between the basket and the tub?
That's what you would like to see because after that it's gets more complicated.
Some of next items are the -
1. wiring harness - check for continuity we'll need wiring diagram (which I think you have)
2. Timer switch - Check continuity and look for contacts worn or burned together
3. Motor - start washer in spin and watch clutch drum to see if it spins (if it doesn't then problem in gearcase - if it does remove motor to check electrically.
4. Cam driver broken
5. Clutch spring
6. Spin tube
7 Clutch lining - replace clutch
Let me know if you would like to do this repair yourself.
Do you need the disassembly instructions? If you are doing this repair yourself, I have a PDF file that will help.