I agree with Deprived, Most likely culprit is the start cap..
A bit of motor theory
There are 2 or 3 windings (The 3rd is always the same) the two however are "phased" the Start cap causes them one to slightly "lead" the other, this causes the motor to rotate.. If not for this winding AC type motors would never start rotating. If the start cap is kaput. Then this start winding is basically.. Not there. a 10 dollar part (likely in a box nearby) is all you need. I carry a spare for Carrier, but also hopefully I won't have a carrier soon.
DC motor work.... Differently.
But Big A/C motors need that start cap or they might run backwards if at all. (Some smaller motors also work.... Differently)