Here are some videos I took where I was able to capture the sound.
#1 - You can hear the sound just as the speedometer hits 12mph. It's very short but that's when TACC decided it needed to hard brake due to the traffic in front of me coming to a stop.
#2 - This one is very short but you can clearly hear the loud judder of the brake pedal. This is a stop-n-go event. Start at zero and go up to 2mph and then hard brake back to zero.
#3 - This one is where AP had drifted way too close to the left of the lane and was starting to encroach on the traffic to my left. Eventually TACC had to hard brake just as the proximity alarm chimed. The camera moves around a bit because I was worried I was going to have to take over due to how close I was getting to the cars on my left.