My kenmore washer will not spin or agitate. It

indicates 2 possible faults
no agitation . spinning- indicates a problem start / run capacitor for the motor ( hum )
drain is a separate motor and will not run until drain is activated
and that comes back to the second possible fault
problem program board not progressing to wash cycle
the hum could be a water control solenoid
call a technician for a proper diagnosis

try this
http://forum.appliancepartspros.com/washer-repair/345592-kenmore-90-series-washer-wont-agitate-spin.html
Kenmore 90 series washer won agitate or spin Appliance Repair Forum

sounds like a bad moter,

bad lid switch or bad motor coupler or both-mike

hi, Does the water drain out in the spin cycle? Sounds like the coupler might be bad. Is this a top load machine? Asking questions so I can be clear and give you better info on your question.
Please let me know.

Thanks
Vic

check your pump..

Could be the door switch, do you hear a clicking sound when you close the lid?

Does the motor hum at all in drain/spin?

you may find that the motor is not going because of faulty capacitor or faulty timer
remove the motor from machine and try running with no loadif it works them maybe the pump is jammed or worse still gearbox is faulty

My Kenmore 98702 washer Fills and agitates as expected but stops at the end of cycle failing to drain or spin

Check to make sure connection by motor are good sometimes one phase of the motor will go bad that might be the case try the selector switch for agitator speed on different settings