Is the motor running while in the wash cycle? Could be motor carriage or belt related.

Maytags use a spring-loaded carriage on the motor to tension the belt, you could also have a damaged belt as well if it was slipping (glazed or burn-spot). I would check the belts, the red area is the carriage system, you can pull the front panel and see this. Push the motor to make sure it travels smoothly and returns. Also tip the machine back to look at the drive belt (blue) for wear.

Hope this is a start.

-Tim

I would say check the belt 1st, just pull the machine away from the wall a bit and tilt it back, you could prop it up with a piece of wood. the belts are on the bottom. Look at the condition of the main belt that goes from the motor to the center drive pulley. It may be time to replace them anyway. Maytags use this belt as slippage when the machine is spinning and agitating, like a clutch, it's a special belt. If you replace it, get a genuine belt for it.

Here is a link for the belt:

www.appliancepartspros.com/Applia...

Here is the bundle for the pump and drive both, usually the pump belt has little wear:

www.appliancepartspros.com/Applia...

Here a pic to give you an idea of what's under there:

(PS: Found this pic on Google image search, not my own)

-Tim

Did you check the motor carriage, and that it travels on it's tracks and the spring tension is there?

-Tim

What about removing the agitator and seeing if the splines are stripped?

This machine does not, and even if it did, the lower part would still move I would think.

As for the issue at hand I can only see it being 1 of 3 issues (from minor to severe): Belt, Motor Carriage, Transmission.

I don't think it's the agitator splines as much because agitator would float up if not secured as well as making noise I would think.

-Tim

Transmission problem, note the washer could be less than 10 years old, if so you can still get a free transmission from WP which includes a complete seal and tub mounting assembly, we need the serial # to date this washer.