Washer throws itself out of balance and stops

The drive motor which spins the drum is connected to the drum by a rubber belt. Sounds like the belt is burned through. Make sure you can spin the inside tub by hand to verify that the tub can turn freely before you replace the belt. The hum is from the drive motor just spinning freely.

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What is the model number of your unit?
You will need to replace the clutch assembly.

Look for a blown capacitor if the other components are all fine.

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Note after reading a bunch of information. I went home and removed the hose from the Level Switch and "clean it", if you will and re-attached. Started a load, and bingo bango bongo, it work. Thanks for the insight.

The electric motor my have failed or a part called a capacitor could be the problem? The capacitor is part of the starting circuit of the electric motor, if this fails the motor will not start therefore the washing machine won't spin or agitate.

sounds like the timer to me

No wash, no spin read THIS
Spins, pumps, won't agitate right: check THIS out


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this is the site to find out how to fix your washer.
you have a broken drive coupling.
it probably wont agitate or spin, but will fill and drain.
you need to remove 2 screws from the control panel, hinge it back and then remove the 2 brass colored clips that hold the cabinet to the base. once you do then pull the entire cabinet forwards to a 45 degree angle and pull it off the base.
then pull the 2 clips off pump and then 2 more on the motor. that will allow you to get to the drive coupling. you will find it to be broken.
replace it with part number 285753a for about 15-20 bucks.

You most likely have a broken coupler between the motor and gearcase.
You can buy the part for about $10 or have someone come out and replace it for about $150-200.
If you will post the complete model number from the the washer so I can see which style cabinet you have, I will try to walk you through the repair. It isn't very complicated if you are handy with home repairs.
With the age of the machine it probably just needs a coupler, but it could also have a problem in the transmission or basket drive that has caused the failure.

i have a kenmore 70 series washer model 10020722990
it will fill with water but will not wash. if you put it on spin the water will drain but it will not spin. it sounds like the motor turning. is it a clutch that has broken.