THE PLTS RPRTD THAT WHILE LNDG ON A SNOW & SLUSH CVRD RWY, THEY USED FULL REVERSE THRUST & MAX BRAKING WITH ANTI-SKID, BUT THE ACFT DID NOT DECELERATE. THEY SELECTED THE #2 BRAKE SYS WITHOUT ANTI-SKID. SUBSEQUENTLY, THE MAIN TIRES FAILED (BLEW-OUT) & THE ACFT SLID OFF THE LEFT SIDE OF THE RWY, COLLAPSING THE LEFT MAIN GEAR. INV REVEALED THAT BOTH THRUST REVERSER ACTUATOR LINKS ON THE #2 ENG HAD FAILED. WITH THESE FAILURES THE #2 ENG WOULD HAVE CONTD TO PROVIDE FWD THRUST,PROPELLING THE ACFT DWN THE RWY. (ON THIS MODEL OF ACFT, ONLY THE #2 ENG WAS EQUIPPED WITH REVERSE THRUST CAPABILITY.) METALLURGICAL EXAMS OF THE FWD ROD END FITTINGS OF BOTH REVERSE THRUST ACTUATOR LINKS (P/N 8140-06LK) REVEALED THE BEARING LOOPS HAD FAILED FROM OVERSTRESS. MANDATORY SERVICE BULLETIN (S/B) F900-78-1 WAS ISSUED ON 5/18/89 TO PROVIDE A SAFETY SYSTEM TO PREVENT ACTIVATION OF THE THRUST REVERSER ABOVE IDLE, WHILE THE AIRCRAFT IS ON THE GROUND. ALSO, MANDATORY S/B F900-78-2 WAS ISSUED ON 7/19/89 TO REINFORCE THE THRUST REVERSER ACTUATING MECHANISMS.