My Maytag Quite Series washer is making noise on the spin cycle.

If it's a roaring noise, the tub bearing is probably wearing out. Spin the tub a little with your hand, if you hear a little of the roar, that's it.

Washer may be out of balance, Move closes around in washer and restart

if it's making a noise then either your drain pump bearing is going out or your thrust bearing is going out (assuming the noise happens in both spin and wash). Tip the washer backwards so that you can get underneath of it. Take the belt off and spin the pump pulley on the right side. This should spin effortlessly.

The middle pulley is the trustbearing pulley. Spin this--- one direction it should have a little bit of resistance--- the other should have more resistance

check idler pully

I had the same rattling during spin cycle of my Maytag 4000 series front loading washer. Noticed you could gently pull back on the rubber gasket between the tub and where the door seals. There was a quarter resting against the fixed ring the tub spins in. Problem solved. And I have further realized that long hair can build up in this same spot. But if you didn't know to pull back on the gasket you wouldn't see it. Good luck!

pull hoses off the pump and see if there is anything stuck in it

Under the agitator there is a rachet mechanism that works the agitator. If it is stripped, it will skip until the next good tooth.. when it fails entirely the agitater will stop going back and forth. Its nylon and age along with overloading hastens its dearg.. If you can get the parts you can replace it yourself without difficulty. There is a single bolt in the center of the agitator top . Remove and loft agiyator straight up.

rachet device under agitator is stripped.

very loud in spin cycle can mean a bad rear bearing, not something a homeowner would want to try to replace, parts would exceed 6-7 hundered dollars. you may have some extended part warr through the manufacture. still probly gonna be a 5 hundred when the labor is added in

this is my experience repairing the maytag washer Atlantis mav series 9750 aww, I had to replace the spin bearing since it was making a jet engine noise when it was spinning out the water. its not an easy job for my 1st time taking this machine apart, you literally take it all apart to get to this bearing, but now I can show how to do it with pictures making it easier for you to do it. even if you have to replace something other than the spin bearing, this how to tutorial will show you how to get to most of the parts in this machine
tutorial located here tutorial located here https://sites.google.com/site/maytagwasherrepair/maytag-washer-repair