Washer...Amana Mod:NAV3335AWW. Washer tub does not agitate correctly and when final spin is finished, clothes are still soaked. What can cause this?

The tub is held in place by dampers (shock absorbers) and springs. When one of those breaks or comes loose, the tub cannot spin out the water correctly. It would help if we know the make and model.

sounds like you are dealing with the same problem as me .
take off the front panel (after unplugging power) take a flash lite and look at the large pulley at the back just below the pulley is the helix check to see if they are worn .

http://fixitnow.com/wp/2008/10/21/amana-washer-makes-loud-ratcheting-noise-during-spin-but-doesnt-actually-spin/

The noise is from the transmission and is usually pretty expensive. You really are better off getting a new washing machine.

there should be 2 or 3 springs that hold it, they mite have broke, take off back panel an check.

first, run a rinse,drain & spin cycle. after it finishes filling, shut the water supply (taps) off. If water enters the washer after the drain, it has to be sifoning back in from the DRAIN hose. Check to see if the drain hose is not going up above the washer more than a few inches

how much water is in the bottom of the tub and is it louder than normal if so could be small droplets of water leaking from tub seal if not the pump is restricted by something and req replacement

after parts replaced

you can still by a new drum and outer shell for that machine
main shell of washer
main shell plastic or metal

http://www.appliancepartspros.com/parts-for-amana-nav3335aww.html

grease may be trapped between inner drum and
if taking apart steam/pressure clean between the drum and internal
use full container of borax
use very hot water
and run an empty full load wash

I had that problem at one time with my old washer and what it ended up being was the Washer Dog Agitators were broken and causing the it to slip and not spin correctly. I would try checking the Dog Agitators.
Here's A picture of a typical top-load washer breakdown to show you where they are located --->Here<---
I hope this helps. If that is the problem I bought mine at Sears for about $8, normally in stock item.
Let me know if there is anything else I can do.

hi, i would suggest the timer/programmer is faultyas it is ok on the other cycles, the noises you have described may have caused some damage,

Sounds like a slow drain. Recheck the drain hose if it looks ok get a bucket to put the hose in to see how fast it comes out. If it comes out slow the drain pump impellor may be broken.