What was found
(CAN) A/C ON TAKEOFF CLIMB RADIOED MAINT CONTROL THAT ATC REPORTED TIRE DEBRIS ON RWY AFTER THEIR DEPARTURE: CREW ALSO REPORTED SEVERE WHEEL VIBRATION THROUGH AIRFRAME UPON ROTATION. A/C RETURNED ON SUSPICION OF TIRE FAILURE. FLY BY CONDUCTED WITH NO NOTABLE DAMAGE TO REPORT. CREW CARRIED OUT ABNORMAL 'BLOWN MAIN WHEEL & LANDED UNEVENTFULLY. CFR ON STANDBY. MAINT INSPECTION REVEALED NR 4 MAIN WHEEL TIRE RETREAD & SIDEWALL PARTIALLY MISSING. MAIN WHEEL TIRE PRESSURE STILL INTACT. MAINT ALSO NOTED TRAILING EDGE DAMAGE TO INBOARD FLAP. A/C REMOVED FROM SERVICE & IS CURRENTLY UNDER GOING REPAIR.