AIRCRAFT VEERED HARD NOSE LEFT ON TOUCHDOWN DURING LANDING WITH A 150 DEGREE, 5 KNOT, RIGHT QUARTERING TAILWIND. THE PILOT, WHO HAD 6 HOURS IN THE MAKE AND MODEL, STATED THAT APPLICATION OF FULL RIGHT RUDDER HAD NO EFFECT AND THE AIRPLANE GROUND LOOPED. A PREVIOUS TAIL WHEEL SHIMMY COULD NOT BE DUPLICATED BY THE PILOT PRIOR TO DEPARTURE ON THE ACCIDENT FLIGHT. POST-ACCIDENT INSPECTION OF THE TAIL WHEEL ASSEMBLY AND CABLE SYSTEM DID NOT REVEAL ANY EVIDENCE OF FAILURE.