Product review (5 stars): Perfect replacement Maytag/Whirpool washer brake (review includes link to video install instructions)
Works fantastic!  I had an obnoxious high pitched squeaking sound whenever the washer would go into spin cycle or stop.  When I would open the door during spin it would squeal as it stopped.

To replace this you'll either need a washer brake wrench or a chain vice grip plier.  I used the chain pliers (which are awesome and I can use them for other things).  You'll need to whack it with a hammer to get it loose after removing the outer pieces.  Note:  The transmission drive will spin at the same time as the brake as you pull it out, that is normal.  It will stop once you get the brake off.  Reinstall is opposite order.  You can see a nice video at [...].

I recommend replacing the conical bearing and the top bearing at the same time (one on each end of the brake basically).