THE FATIGUE FAILURE OF THE SUPERCHARGER INTERMEDIATE DRIVE GEAR SHAFT (GEAR TOOTH), WHICH RESULTED IN A PARTIAL LOSS OF POWER, AND THE PILOT'S INITIATION OF LIFT-OFF BEFORE REACHING VMC AIRSPEED. FACTORS RELATED TO THE ACCIDENT WERE: THE WORN INTERMEDIATE DRIVE GEAR SHAFT, THE PILOT'S OPERATION OF THE AIRCRAFT ABOVE ITS MAXIMUM CERTIFIED GROSS WEIGHT LIMIT, AND THE HIGH DENSITY ALTITUDE.