Put a spin on it

I would replace the pump impeller first!

kind of hard to solve without more info.but it could be unlevel find a level or borrow one and place on top of washer.make sure it reads between bubble on level.check both sides on top of washer.if you hear kind of grinding noises and shifts hard it could be transmission..

You should be able to put it in spin and remove the water. if it don't you have a problem somewhere. There should be 3 springs hooked to the bottom of the tub to hold it on center if one breaks or comes loose it will be off balance. If you get water in the tub when not useing it and the water is on from the water line the water valve is leaking.If the water don't shut off when filling the water level switch could be bad.or the tube running to it could be stopped up pull the hose off the water level switch and blow through it if it bubbles in the tub it is ok. If can't blow through it it is stopped up.Hope this helps

Kenmore front loading washing machines will give you years of service. Sometimes things do go wrong, especially after the warranty runs out. Troubleshooting a Kenmore front loading washing machine could save you a lot of money on a repair bill. Before you call a service technician to fix your machine, attempt to resolve the issue through simple fixes first.
Washer Code Messages Your Kenmore front loading washing machine has an LED display that will give you error codes.
Will Not Spin If your washing machine does not spin, check to make sure the door has latched completely. Also remember that if your machine is in the SUD cycle it will not spin until it has eliminated the suds.
Washer Is Noisy

• If the washer is making noise or vibrating, check to make sure it is still level. If it is out of level you can change this by adjusting the feet. Metal belt buckles and buttons in your laundry could be causing the noise as well.
  
• Door Stays Locked After Cycle
• At the end of the wash cycle, the lock will disengage after about 30 seconds. If it does not, it may be because the machine still detects that the water has not completely drained. Just select "Drain" and "Spin" and let the washer go through the cycle. Your door should unlock.
  

A rapid spin cycle is actually a GOOD thing. This is an indication that the gearcase (transmission) and the drive motor are both running strong.

If the washer shudders during the spin cycle the first thing you need to do is check to ensure the washer is properly leveled. The following link explains:

http://www.fixya.com/support/r3868923-level_whirlpool_top_loading_washer

The model Whirlpool top loader you have, has an auto-leveler mechanism on the back two legs that can become unlevel periodicailly. You should check the washer level from time to time when it is empty. You need to also make sure the washer is level in ALL directions (front-to-back and side-to-side).

Accidental unbalance problems that can occur from washing blankets, comforters, or heavy loads of towels can also cause the washer to become unlevel and shake. This can also contribute to the level mechanism becoming unbalanced.

Overloading the washer can also cause unbalance problems. Washing blankets or conforters can cause the load weight to shift to one side of the tub. This will result in a tub that shakes violently and bangs against the cabinet. You may have to redistribute the load weight when washing heavy items. This can also occur when washing loads of towels. This is NORMAL as some heavy items do not distribute the weight evenly.

Another problem (which is less common) that can contribute to wash unbalance problems is a weak floor under the washer. If the floor flexes (even the slightest) during the spin cycle, it can cause the washer to bounce or shake. Mobile homes or laundry rooms on the second floor of a home are notorious for having weaker floor structures. This washer has a 35 gallon tub capacity. Coupled with the weight of a wet load and the spinning action, this can put a lot of centrifugal force on a floor.

If you have any questions or concerns, please post back and let me know. I hope this information is helpful to you.

sounds like your machine is unlevel have you taken a level to the machine and the floor and checked both , they should never walk unless they are unlevel

Try this... while in in spin turn your spin selector switch and listen if motor spins slower or faster.. at fast spin open your lid quick to see how fast its spinning.. check and make sure your drain line is cleared and the water flow out fast...and if its spinning too slow problem is in the gearbox area..

It is most likely out of balance, could be for many reasons.
1 could be too many heavy items such as jeans, towels, etc in one load.
2 could be the machine or floor is unlevel.
3 Could be a balance sensor needs replacing.

being un-level could certainly cause it im currently working on this problem for another customer on this site while i haven't had hands on with this model yet i just finished reading the service manuel on it its kind of an amazing concept in washers if either one of you are on line reply to this message hold my rating for now as i need to ask some questions