What was found
EXCESSIVE NOSE WHEEL SHIMMY ON LANDING WHILE TAXING INTO GATE, ANOTHER CREW ADDRESSED INBOUND TIRE ON A/C RIGHT WAS SHREDDED. GROUNDED - YES. FOUND MAIN LANDING GEAR TIRE #3 WITH TREAD LOSS/BURST WHICH CAUSED VIBRATION. C/W CONDITIONAL INSPECTION PER B737-900 AMM 05-51-54-210-801. NOTED DAMAGES ON RH INBD T/E AFT FLAP, RH INBD SPOILER, RH INBD T/E MAIN FLAP, RH MLG CANNON PLUG BRACKET AND RH TRAILING EDGE FIXED PANEL. DUE TO TIRE ASSY #3 DAMAGE, TIRE #4 MUST ALSO BE REPLACED. REMOVED AND REPLACED MLG TIRE ASSYS #3 AND #4 REF AMM 32-45-11-000-801 AND AMM 32-45-11-400-801.