Agitator doesnot move, water will
This assumes that you have a basic Kenmore / Whirlpool top load, direct drive, neutral drain (it doesn't spin until the pump
removes most of the water) machine.
First, see the Sears parts site for your washer:
Enter your model number (110.#######) and you'll see a list of major sub-components with diagrams and parts.
Newer model Whirlpool / Kenmore washers use a Lid Switch as a safety device. Unless the switch senses that the lid on the washer is closed, the washer will neither agitate nor spin.
Older models only used the switch during the spin cycle.
Try to bypass the Lid Switch by removing the Console and jumping the two outermost pins on the switch.
This is a Whirlpool PDF on how these washers operate. It has a diagram on jumping the switch as well as a detailed section on how the transmission works.
It also has a troubleshooting guide.
To bypass the switch, you only have to disconnect the power to the washer, tilt the console back, unplug the switch and using an short piece of insulated wire, jump the two outermost contacts on the connector coming from the console and plug the washer back in.
Following is a description of how to gain access to the console and how to remove the cabinet if necessary.
With the jumper in place, try to re-start the washer.
If it works, the Lid Switch is a relatively inexpensive part.
If the washer still doesn't work, check the motor coupler.
Kenmore / Whirlpool top load, direct drive washers use a "Motor Coupler" between the motor and transmission.
It's used as a fail safe device and consists of three parts.
Two of the parts are the same, plastic units with three prongs that fit on one of the motor output shafts and the other on the
transmission input shaft. Between them is a rubber piece with six holes.
The power from the motor is transmitted through the rubber piece to the transmission.
The other shaft on the motor directly drives the pump.
If the motor coupler is broken, or worn, the motor may not be able to send full power to the transmission for agitating or
See the following for how to remove the cabinet, pump, motor and motor mounting plate to inspect and replace the motor coupler.
If the coupler looks damaged, it's a relatively easy fix.
Pry the plastic pieces from the motor and transmission. Some people use a claw hammer but I've found that using a small (6 inch) pry bar works well.
Carefully fit the plastic pieces over the motor and transmission shafts and press them in place (Use a 1/2" of larger socket to put pressure equally around the pieces.
Put the rubber piece on the transmission plastic piece.
Replace the motor mounting plate.
Carefully line up the plastic prongs on the motor based plastic piece to the three un-used holes in the rubber piece. If they don't line up right, the coupler could be damaged.
Mount the motor, don't forget the two screws, put the pump back on the motor and use its' clips.
Put the cabinet back on, don't forget to plug the lid switch back in and re-mount the console.
If this is a basic top load, direct drive washer, luckily most mechanical parts are relatively easy to access and fix or replace. I'd hold off looking for a new washer until I checked the Lid Switch and Coupler. These are the two parts that tend to break on top load washers.