Misaligned drum/pulley Drum was not spinning. Found belt was shredded against drum and beyond saving. Replaced belt and put it on pulley. When spun the belt is now rubbing against drum and will not stay in middle of pulley. Pulley seems to be very loose but is tightly bolted in middle. Is there any saving it?

SOURCE: Kenmore h3 won't spin

Remove the pulley nut and pulley. The pulley should have a round hole with two flat sides that ride on a shaft. If the flat sides of this opening are damaged the pulley will not stay tight and will rattle. Try tightening everything down. If you can grab the pulley (like a steering wheel on a car) and turn it back and forth on the shaft, there shouldn't be any "play" in it. The whole drum should turn. If this is the case, replace the pulley and nut. I hope this helps you.

SOURCE: New belt runs too close to drum on pully

adj belt in motor pulley groves 1 grove at at time spin with hand to center on drum pulley

SOURCE: GHW9250ML0 - belt off, pulley misalignment, bearing ok

no pulley should have that much clearance or movement....Something is seriously worn. Perform surgery and find out what failed.

you will have poor performance until you get this issue resolved and tighten the belt correctly.

SOURCE: HOTPOINT WASHING MACHINE - BELT IS RUBBING AGAINST

if you have gotten that far your good
now try to look at the motor it sounds like your belt might be a lil off track on the mortor shaft
there is a adjustment srew on the top left of the motro its hidden under things but its there
you can looses this and swing the motor
make sure you have it lined up on the motor shaft and it should stay aligned on the pully

SOURCE: I have a Whirlpool Duet

The first thing to determine is if the pulley is loose due to wear on the pulley or if the spin bearing in the outer tub is bad.

Remove the belt. Make sure the nut holding the pulley in place is tight.
Wiggle the pulley while shining a bright lamp on it.. is it loose on the shaft or is the shaft moving.
If the shaft is moving.. outer tub needs to be replaced.. and in some cases this means the spin basket as well.

If you remove the pulley..and the inside mating surfaces which are flat on two sides are worn or rounded off.. bad pulley.. the retaining nut may not have been tightened properly.. or it became loose up over time,

However the black dust means the belt has been slipping ..some dust is probably normal due to age.. rubber breaks down..but a lot of dust means friction.. which means something is not turning as freely as it should.

So it has to be a loose retaining nut, worn pulley..or worn failing outer tub bearing.. I am afraid it's more than likely the last one.

Sears Parts Direct will have diagrams for your model..

Best of luck