Oddly enough I've never had to do this. I just got a little motor for a project and it has no capacitor; stumped me for a moment why it would only run when I spun it up
Data plate info:
220v .25A 50hz 1250rpm with 4uF listed. I can dredge up a cap, just need to know where to put what wire.
the black is the same gage but with much thinner insulation. I hooked the blue and brown (usual hot and neutral colors here) to 220v and she ran when spun.
No way to see what the wires do in the motor as they disappear into the windings.