A servo loop converts resistance to rotation. A motor rotates the gears while a feedback loop keeps it in the right spot. The amplifier generates an error signal to rotate the motor in the correct direction. The potentiometer indicates the current output.
They didn't have op-amp chips back then, of course, so the amplifier consists of multiple boards of circuitry. The boards have a few germanium transistors (pre-silicon) but transformer-like "magnetic amplifiers" perform most of the amplification.