INST TRAINING STUDENT IN A C172 LOST CTL OF ACFT DURING TKOF ROLL FROM A TOUCH-AND-GO PRACTICE LNDG CAUSING DAMAGE TO THE R WINGTIP AND PROP.

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ON TKOF FROM THIS TOUCH-AND-GO; I REQUESTED AND RECEIVED FROM THE TWR THE CURRENT WIND CONDITIONS. I WAS IN THE PROCESS OF MANEUVERING THE ACFT AND DID NOT WRITE DOWN THE RPT. YET I DID CHK IT ON MY LORAN WIND CALCULATOR AND THE XWIND COMPONENT WAS LESS THAN 15 KTS. THE THIRD APCH WAS UNEVENTFUL. THE TWR REQUESTED A SHORT APCH -- THIS WAS NOT A FACTOR. A WIND CORRECTION WAS NEEDED FOR THE WIND FROM PORT (N). THE VASI LIGHTS WERE RED OVER WHITE; AIRSPD AT 75 KTS; AND FLAPS SET AT 30 DEGS PRIOR TO LNDG. THE LNDG WAS UNEVENTFUL. ON THE ROLLOUT FROM THE TOUCH-AND-GO; R RUDDER WAS APPLIED TO COMPENSATE FOR THE NORMAL YAW AT TKOF; AS FULL PWR WAS SLOWLY APPLIED WITH THE THROTTLE. AT THAT POINT; I WAS AT ABOUT ROTATION SPD. SUDDENLY; THE ACFT YAWED TO PORT; LIFTED AND THE STARBOARD WINGTIP TOUCHED THE RWY. THE SENSATION WAS AS IF SOMEONE LIFTED THE ACFT ON THE PORT HORIZ STABILIZER AND LIFTED THE ACFT STARBOARD AND FORWARD WITH ROTATION PORT. THE EFFECT OF THE WIND WAS OVER IN 1-2 SECONDS. THE WIND WAS A QUARTERING TAILWIND GUST. I DISTINCTLY REMEMBER THAT I MADE A DECISION WHEN I SAW THE WINGTIP HIT; THAT THE ACFT WAS NOT AIRWORTHY. THE TIME WAS PROBABLY LESS THAN 1 SECOND BUT IT IS CLR IN MY MEMORY. IN ALL HONESTY; MY TRAINING; RATHER THAN CONSCIENCE DECISION; TOOK OVER AND I LANDED THE ACFT. I DID NOT KNOW I HAD A PROP HIT ON THE RWY. I NEXT SAW THE RWY AND I WAS ANGLED TO THE PORT (N) OF THE CTRLINE AND APPLIED BRAKES. THE TWR CALLED; I THINK TWICE; TO MAKE SURE THAT I WAS OK; THEIR CONCERN WAS WITH MY SAFETY. I CHKED ALL MY GAUGES; ALL WERE IN THE GREEN; THERE WAS NO SMOKE NOR FIRE AND I CHKED STARBOARD WING FOR FUEL LEAKAGE. ALL WAS NEGATIVE FOR DAMAGE. I THOUGHT THAT THE ONLY DAMAGE WAS THE WINGTIP. THE ARPT WAS CLRED AND I TAXIED TO THE JETPAD. I TAXIED TO THE JETPORT AND ON SHUTTING DOWN THE ENG FOUND THAT THERE WAS A PROP STRIKE. AN EMPLOYEE OF XXX DROVE OUT TO PICK ME UP AND TAKE ME BACK TO THE OFFICE. I INFORMED BOTH THE BUSINESS OFFICE AND MY FLT INSTRUCTOR OF THE INCIDENT. MY FLT INSTRUCTOR AND I INSPECTED THE ACFT. THE ACFT WAS THEN GNDED. DAMAGE TO PROP AND WINGTIP. NO SUBSTANTIAL DAMAGE.