It's a simple kind of motor - there is no start winding, no start switch. IIRC Tolivac you are pretty technical so you would understand better than me, it is effectively a two-phase motor, fed from a single phase supply. There are two identical windings in the motor, one gets its power direct, the other via a capacitor (condenser in US english?). The capacitor creates a lag, so that the two "phases" are 90 degrees apart. (??) To reverse the motor, the timer just swaps which winding is connected direct to the mains and which is fed via the capacitor. It is not very efficient and the motor has low torque but it is very cheap and very reliable.
The timer has a reversing section which has a very short increment - maybe 1/2 a second. It switches the motor about 3 increments clockwise, 1 increment pause, three increments anti-clockwise, 1 increment pause, three increments clockwise, 1 increment pause, and so on for the duration of the wash.
For a delicate wash, it would do 1 increment clockwise, 3 increments pause, 1 increment anticlockwise, 3 increments pause, and so on.
There is a simple spring clutch between the pulley and the transmision, operated by the brake lever. When the brake solenoid is RELEASED, the brake lever is held in by a strong spring to hold the brake band (which holds the basket steady during agitation), and to hold the clutch released, so that the pulley turns the transmission input shaft but not the transmission casing (and thus the drum).
When the brake solenoid is ACTUATED, it pulls the brake lever away from the brake band, releasing the trans and basket to spin, and allows the spring clutch to grip the trans shaft to the trans casing, so that the whole trans and basket turn with the pulley - SPIN.
The pump is a separate electric pump.
All this is very similar to Japanese machines such as Sanyo and Hitachi - the Hoover Premier was the first of the Hoovers to use this type of transmission, and it was basically a copy of Hitachi.
Chris