G III FO REPORTS STICK SHAKER ACTIVATION AFTER DEPARTING TEB RUNWAY 1 ON THE TEB5 SID WITH ICING CONDITIONS PRESENT. POWER ADDITION AND WING ANTI-ICE ON SEEM TO SOLVE THE PROBLEM.

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DEPARTING FROM TEB IN RAIN AT 1 DEGREE C DEVIATIONS FROM THE SID WERE REQUIRED TO MAINTAIN POSITIVE CONTROL OF THE ACFT. WHILE CLBING AOA INDICATORS BECAME HIGH WHILE AIRSPD SEEMED CORRECT (VFS-VFS+20) YET CLB RATE WAS NOT AS EXPECTED. CONTROLS ALSO BEGAN TO FEEL 'MUSHY' AND AT 1500-1800 FT WHILE TURNING TOWARD PNJ THE STICK SHAKER WENT OFF. THIS REQUIRED IMMEDIATE LEVELING OF THE WINGS (STOPPING OUR TURN TOWARD PNJ) AND A LARGE ADDITIONAL POWER APPLICATION; LIKELY SETTING OFF TEB'S NOISE SENSORS. DURING THIS TIME I HEARD AT LEAST ONE RADIO CALL WHICH WENT UNANSWERED AS VERIFYING THE REGAINING OF POSITIVE CONTROL OF THE ACFT BY THE CAPT SEEMED THE HIGHEST PRIORITY. ONCE WING HEAT WAS APPLIED AND AFTER WHAT WAS PROBABLY 30 SECS OR SO (SEEMED QUITE A BIT LONGER); POSITIVE CONTROL WAS ESTABLISHED; COURSE AND ALT WERE ADJUSTED TO EXACTLY CONFORM TO THE SID AND COMMUNICATION WITH ATC WAS RE-ESTABLISHED. THE REMAINDER OF THE FLT PROCEEDED NORMALLY. IN RETROSPECT; WING ANTI-ICE PROBABLY SHOULD HAVE BEEN APPLIED AT GEAR-UP AND MAYBE FOR THE TKOF ITSELF (I WILL RECALCULATE THIS SCENARIO AND BE SURE OF WHICH ONE) FOR THE NEXT TIME.