AN EMB135 FLC HAS TO RETURN LAND AFTER THEIR #2 ENG FAILS IN A DEP CLB FROM RDU; NC.

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DURING CLBOUT OUT OF RDU AT APPROX 13000 FT; WE EXPERIENCED A L YAW. WE ALSO FELT AN ACCELERATION ON THE R ENG. WE CHKED THE EICAS FOR ANY ABNORMALITIES. WE THEN RECEIVED A CAUTION MESSAGE OF ENG #2 OUT. WE RAN OUR REQUIRED MEMORY ITEMS FOLLOWED BY CHKLISTS. WE IMMEDIATELY DECLARED AN EMER WITH ATC AND TURNED AROUND FOR A LNDG ON RDU RWY 5L. THE LNDG WAS DONE IN AN OVERWT CONDITION WITH AN APPROX WT OF 43100 LBS. THE LNDG WAS VERY SMOOTH AND WE ROLLED OUT TO THE END OF THE RWY AND CLRED. WE HAD RDU CFR EXAMINE THE ACFT FOR ANY DAMAGE AND GOT THE GO AHEAD TO TAXI TO THE GATE. WE DEPLANED THE ACFT NORMALLY. THERE WERE NO INJURIES OR VISIBLE DAMAGE TO THE ACFT. SUPPLEMENTAL INFO FROM ACN 557679: BEFORE THE R ENG QUIT IT SEEMED TO HAVE ACCELERATED BECAUSE WE EXPERIENCED A MOMENTARY YAW TO THE L FOLLOWED BY A YAW TO THE R WHICH WAS ASSOCIATED WITH THE R ENG FAILING. THE AUTOPLT WAS ON AT THE TIME AND DID A FAIRLY NICE JOB FLYING THE ACFT. CAPT COMPLETED THE CHKLIST WHILE I FLEW THE ACFT. WE RECEIVED RADAR VECTORS FOR THE VISUAL APCH. THE ACFT WAS APPROX 2000 LBS OVER MAX LNDG WT. WE DECIDED TO CONTINUE WITH THE OVERWT LNDG.