Lots of good advice...
Jed -
You've received a lot of good advice in these posts. Thank you for asking my opinion! I have not been on here in a week or so or I'd have answered you sooner.
I learned something interesting from the first washer I pulled from storage this spring....it had been my sister's when I put it in storage and was working properly then, but when I tried it back in March, after 10 years of storage in a poorly climate controlled building, it wouldn't spin at all.
My machine is a short centerpost model like Robert is talking about, however the problem in this case turned out to be a stuck clutch shaft, which was frozen tight due to "carmelization" of the lubricating grease. It was so heavy and "gooed up" that I needed a paint scraper to remove the thicker deposits.
I don't know specifically why that happened, but I had to work to get the shaft out of it's slot, then I cleaned the entire area and re-lubricated the parts. After that it works great.
If you can turn the basket with some force (with the brake on it should take some force) the spin tube is probably not frozen though the bearings could have lost their oil if the centerpost has lost it's seal. This will be a good indoctrination if you've never taken apart a belt-drive WP before.
Two other possibilities: I had one machine years ago that came to me with a cheap aftermarket pump, which had seized. It had a plastic pulley (not factory) which had actually melted due to friction from the belt. This caused belt speed to drop dramatically, and the machine would not spin.
In my mother's second Kenmore, the basket drive set-screw had backed out, which eventually destroyed the spin tube. By the time we knew what was going on the machine would not spin at all and there was an odd "metalic & oily" smell. My dad and I had to replace the basket drive (my first work on a machine), however I've never heard of this happening since though I guess everything does eventually with so many of those machines having been out there.
Sorry for being so wordy, but like everyone has said, you'll just have to see what's going on by visual inspection. Listen for the spin plunger engaging when you press the lid switch - if you hear that, you can eliminate some of the electrical possibilities.
By the way - you have an odd-duck of a machine in some ways, which is very cool. The control panel design was a 1981 re-do of the original 1976 'wet face' control panels. There were not a great many 24-inch belt drives made with this panel as these were the first to go DD only a year or two later. More odd, you've got a dual-action agitator which in a 24-inch belt drive is not common. I think there may have been only one or two models like this. Most were straight vane models.
I hope you get it up and running Jed!
Gordon