Funny you mention this, actually.Youtube
I had similar issue, My fan wouldnt spin, but was getting power & humming. I could manually spin the fan and it would stay running/spinning. But then not restart on its next cycle. I went to youtube, watched videos on trouble shooting and broke out the multi meter.. Same thing..... Ended up being a $30 capacitor.Funny you mention this, actually.
I arrived home last Tuesday, just-after 4 PM. (June 29th, the day after the hottest day on record, ever) to mind my heat pump was not cooling. Fan was running, compressor was not.
A call to Capitol Heating, and it was estimated my hold/wait time would exceed 15 minutes, but I could send a text. They came back via text that July 12th was the soonest they could schedule.
To YouTube I went. By 4:15 I’d diagnosed the culprit, a capacitor/condenser. An electrician buddy of mine referred me to a place within two miles of my house. Pulled-up to see the sign on the door that they only sell to contractors, but they referred me to Chehalis Sheetmetal, who has a retail parts store in Tumwater. I arrived at CSM at 4:50. They didn’t have the part in stock, but they had a special order that hadn’t been picked up, so they sold it to me and ordered another for the first customer. $27. By 5:30 I had cool air in the house again.