A C172'S L BRAKE FAILED WHILE MAKING A L RWY EXIT AT HIGH SPD FORCING THE PLT TO USE MAX R BRAKING TO MAKE A R 360 DEG TURN AND STAY ON THE TXWY.

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COMING IN FROM ABC WITH ATIS INFO; I WAS ASKED TO RPT A 3 MI L BASE TO RWY 29. WHEN I RPTED MY 3 MI L BASE; I WAS INSTRUCTED TO TURN TO DOWNWIND AND MY BASE WOULD BE CALLED. I CONTINUED ON AN EXTENDED DOWNWIND. ON THE NEXT CALL TO ME; I WAS INSTRUCTED TO FOLLOW A CESSNA AHEAD OF ME. I IMMEDIATELY SAW MY CESSNA TFC ABOUT 300 FT OFF MY L WING; ABOUT 100 FT BELOW AND LESS THAN 50 FT AHEAD OF ME. I WIDENED OUT AND STAYED A LITTLE HIGHER THAN MY TFC AND CONTINUED DOWNWIND. THEN MY TFC BEGAN TURNING BASE AND I STARTED TO TURN A MODIFIED L BASE TO WIDEN OUT MORE FOR ADDITIONAL SPACING; KEEPING AN EYE ON MY TFC. THERE WERE NUMEROUS ACFT IN THE PATTERN AND THE ACFT NOW ON FINAL WAS THE ONE AHEAD OF MY CESSNA TFC AND I WAS FOLLOWING IN THE THIRD POS. THE FIRST ACFT ON FINAL WAS INSTRUCTED TO GO AROUND. THE CESSNA I WAS FOLLOWING WAS #2 ON FINAL AND WAS GIVEN A LOW APCH AND AT THAT TIME I RPTED A 3 MI FINAL AND WAS TOLD TO KEEP UP MY SPD AND GIVEN CLRNC TO LAND. I WAS COMING IN FAST AS REQUESTED; WITHOUT FLAPS AND AFTER TOUCHDOWN; WAS INSTRUCTED TO TURN OFF AT THE FIRST TXWY (TXWY G). I ROLLED FAST UP TO TXWY G; ROLLING CLOSE TO THE L EDGE OF THE RWY AND TURNED L ONTO TXWY G IMMEDIATELY; USING FULL L RUDDER AND L BRAKE AND FOUND MY L FOOT GOING VERY LOW AND GETTING A L TURN ONTO TXWY G ONLY AT 45 DEGS; NOT 90 DEGS AS NEEDED. I REALIZED THAT MY L BRAKE WAS NOT FUNCTIONING NORMALLY AND THAT MY L TURN HAD OCCURRED MAINLY WITH 'RUDDER AUTH;' WHICH WAS NOW OVER GIVEN MY REDUCED SPD AND REDUCED PWR. TO MAINTAIN THE SAFETY OF MY PAX AND ACFT AND AVOID AN INCIDENT; I KICKED FULL R RUDDER WITH HARD R BRAKE AND A BURST OF PWR; MAKING A FAST; TIGHT (WITH THE R WHEEL LOCKED) R 360 DEG TURN ON TXWY G TO AVOID GOING OFF THE TXWY. AS I MADE THAT TURN; I SAW A SMALL JET OVER THE RWY; CLOSE TO TOUCHDOWN; AND HEARD A CTLR ORDER THAT ACFT TO GO AROUND; AS I CONTINUED ON TXWY G; HEADING TO THE HOLD LINE. I UNDERSTAND THIS SEQUENCE BEING CONSIDERED A POSSIBLE 'PLTDEV' AND BELIEVE THE CTLR MADE THE APPROPRIATE CALL; SINCE ANYONE SEEING THIS OCCUR FROM A DISTANCE; ON THE TXWY; NEAR THE RWY; WOULD NECESSITATE SUCH A CALL. HOWEVER; MY ACFT WAS ON THE TXWY THROUGHOUT THE WHOLE SEQUENCE AND; THEREFORE; WAS NOT CREATING ANY DANGER AND CERTAINLY WAS NOT A 'RWY INCURSION' AND DID NOT CONTRIBUTE TO ANY POSSIBLE 'LOSS OF SEPARATION.' THIS SEQUENCE EXPLAINED ABOVE WAS A SITUATION WHERE EVERYONE WAS DOING WHAT IS EXPECTED AND APPROPRIATE TO THE CIRCUMSTANCES. THE PATTERN WAS CROWDED AND THE CTLRS WERE HANDLING A LOT OF TFC; INSTRUCTIONS WERE BEING CHANGED AND MITIGATING CIRCUMSTANCES WERE PRESENT REQUIRING APPROPRIATE ACTION TO MAINTAIN THE SAFETY OF ALL INVOLVED; AVOID AN INCURSION AND MAINTAIN SEPARATION.