System for feeding and transporting documents

A system for feeding and transporting documents includes a feeder stage and a transport stage. The feeder stage includes a feeder and a hopper assembly. The hopper floor carries the document stack, and includes a flag providing a force to move the documents along the hopper floor toward the feeder and to feed a document with a presentation force. A vibration source means vibrate the hopper floor such that the hopper floor vibration is stronger at the far end and weaker at the near end to cause a dynamic weight of the document stack to be reduced through vibration, particularly at the hopper floor far end when the document stack is large so as to reduce variation in the presentation force at the feeder.