[Boater Sam]

Many relay or centrifugal switch start induction motors do not use a capacitor. With the start relay the start winding is switched in by the stall current in the run winding, as the speed comes up, that current drops and the relay opens, disconnecting the start winding. Beware, often the relay drops out under gravity, don't use it upside down!
Centrifugal switch works on the speed of the motor operating the switch, closed when speed is low.
If there is a capacitor on such a motor it is often in the Start winding to increase the start up torque.
Capacitor run motors generally do not use a switched starting system. The capacitor is in the start winding constantly