BOTH AN ACFT EQUIP PROB AND FLC VIGILANCE. AFTER CHANGING NOSE TIRES; THE JACK ADAPTOR WAS LEFT ATTACHED TO THE NOSE GEAR. IT WAS NOT SEEN BY EITHER THE MECH OR THE RPTR FLC. CONSEQUENTLY; AS THEY TAXIED; THE ADAPTOR FELL OFF AND CAUSED DAMAGE TO AN ACFT TAXIING BEHIND.

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MAINT CHANGED BOTH NOSE TIRES DUE TO A VIBRATION PROB. ONLY ONE MECH WAS AVAILABLE TO DO THIS WORK AND THE FLT WAS ALREADY 30 MINS PAST DEP WHEN THE JOB WAS COMPLETED. AS THE MECH WAS SIGNING OFF THE PAPERWORK; I PERSONALLY INSPECTED THE TIRES FOR PROPER INSTALLATION OF AXLE NUTS AND COTTER PINS. HOWEVER; I FAILED TO NOTICE THAT THE JACK ADAPTOR WAS STILL ATTACHED TO THE NOSE GEAR STRUT. FORTUNATELY; IT FELL OFF DURING TAXI. UNFORTUNATELY; IT WAS RUN OVER BY AN MD80 WITH SOME DAMAGE TO THAT ACFT'S SPRAY DEFLECTOR. WHEN THE ADAPTOR IS ATTACHED TO THE STRUT; IT VERY MUCH LOOKS AS IF IT IS A PART OF THE STRUT ASSEMBLY; BEING OF THE SAME COLOR AND CONSTRUCTION. I BELIEVE IF THIS; AND OTHER SIMILAR HARDWARE; WERE PAINTED A BRIGHT COLOR (IE; RED; ORANGE; YELLOW) I MIGHT HAVE NOTICED IT; THE MECH MIGHT HAVE NOTICED IT; THE RAMP PERSON WHO PULLED THE CHOCKS MIGHT HAVE NOTICED IT; AND THE MD80 CREW MIGHT HAVE BEEN ABLE TO AVOID IT. ALSO; MECHS WORKING IN PAIRS (MUCH LIKE COCKPIT CREWS) MIGHT HAVE PREVENTED THIS TYPE OF HUMAN ERROR.