GoldDigger...
CSIR Motor Theory
Typically, a split-phase capacitor-start motor, has two parallel windings… S and R, respectively! They are physically displaced by 90-deg around the periphery of the motor’s stator. A capacitor, connected in series with the S-winding, insures that current and time-displacement between the two windings is almost 90-degrees in phase (8.33 milli-seconds, in time,for a 60 Hz motor). (if capacitor was not installed maximum phase-displacement is about 25 degrees!)
How Motor is Started
The Starting Relay’s coil is connected in series with the R-winding (no, not a misprint, I said R-winding! It is not voltage-operated, but instead, current-operated. The normally-open contact closes when inrush-current reaches, say, 5-6 times the motor's NP rating, thereby causing current to flow in the series-connected S-winding and capacitor circuit!
How Starting-Circuit is De-energized
As the motor-rotor accelerates, inrush-current flow in the Starting-Relay’s coil decreases. When near full-speed its contact opens, de-energizing the S-winding and capacitor circuit!
Phil