The first thing you should do is cut the braided wire off before it causes a short, or you get knocked on your ass if you touch it and they're touching the power side of a plug. Sometimes a pin in a plug will get pushed back so it will not make contact with a pin. The male or female pins have a barbed fin like piece of metal that lock it in place in the plug.
That braided wire is the drain wire for the strobes they are supposed to be grounded on each end of the strobe cable if you hear static while the radio is on. Now if you touch one of the bare strobe cable wires you will know it. I've had it happen to me a few times.
As far as the strobes go, I'd check all your connections. I always ground them at the battery.
Is it all the strobes? If so I would be looking at the power, control, and ground for the power supply, or perhaps the power supply itself. If it's just one tube then I would consider the possibility of it being a pin in a connector, etc.