First off, enter the passcode in the far left console to shut off the surveillance system. (It was on one of the guards you took out.)
Then climb down the pipe and ACTION on the tiny console to start the strings moving. I would advise watching how they move for a sec before proceeding. You need to make your way to the right side of the chamber without letting the strings touch you. Keep in mind that one set of strings rotates ONE WAY, but the other set rotates in the other direction. Don't run; precision counts more than speed here.
Once you're home free, climb up and use the last console. Walk onto the pods that drop down and open the door and take the elevator down. (To those following the storyline - you'll see an interesting cut scene...)