Thanks to everyone who responded.
I oil the bearings every spring with a Zoom oiler. I turned the fan by hand and it was smooth.
I removed the capacitor but unfortunately the markings wore off so I couldn't read the size. I tried calling Ruud (ie. Rheem) and they sure were rude. They said they didn't know and that I should check with their dealers. They gave me the phone numbers of two dealers. One said he supplies Rheem but not Ruud. The other guy said he doesn't deal directly with homeowners and hung up before I could say anything. I found a local Ruud dealer. The receptionist took down my information but no one called me back.
While searching the web, I happened to come across
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and emailed them. A very helpful gentleman sent me a parts list which showed that I needed a 3mfd capacitor. I ordered one from them and UPS says it will arrive tomorrow. So we'll see what happens.
I'm not affiliated with Arnold Service in any way, but am very grateful for their assistance. I'm not affiliated with Rheem/Ruud either but don't plan to buy any of their products again if I can help it.
By the way, that web page has some very interesting reading.