A pick-and-place machine and method includes use of a passive component feeder cartridge including a feeder gear. Rotation of the feeder gear causes a component-bearing tape to be fed through the feeder cartridge. A pickup head includes a vacuum nozzle to pick up the components from the tape and a rack gear to engage and drive the feeder gear of the feeder cartridge via translational motion of the pickup head when operatively disposed with respect to a selected feeder cartridge.