Help with small lifting motor wiring? Where does the other end of this resistor go?

[static zap]

it must be to power, as the capacitor must have a feed, I can only think its to smooth the supply ,

AC Motor in this case , it's all about creating 2 ac signals,
one out of phase to other.
To run the 2 coils in the motor .
(as per diagrams provided by others)
Less smoothing, more delaying by a CR network .