Gary is right on the nose with the resonance cure.
The pipe hanging from its supports will indeed resonate at certain frequencies. Resonance can be induced from several mechanisms in such a system - the vibration from engine firing pulses, mechanical vibration coupled from the rest of the vehicle structure, expansion of the gases in the various sections of the pipe, etc.
Remember the old jug band "blow over the top of a bottle" routine? The exhaust system exhibits the same kind of standing wave resonance, just like a set of headers it can be "tuned" by varying the length / diameter / rigidity of different sections. Like an organ pipe basically.
The guitar string is also a good analogy, as far as understanding why some fixes help and others may not seem to. If you play guitar, you have no doubt encountered the technique of playing harmonics or "chimes" by touching the string at a certain point and plucking it as normal, even with the finger touching the string you can get it to sound. These points are at the nodes where the string is not vibrating - touch it anywhere else and it stops the vibration. Depending on where you attach your exhaust hangers, clamps, and angle iron you may see some effect on the resonance... or not.
In general, you can shift resonances to higher frequencies by adding mass to the system - like the angle iron, or by adding rubber hangers to isolate the vibration from the truck. Could probably do just as effective a job by putting a heavy "donut" in a few locations, like a couple of feet of lead wire or such heavy material wrapped around the pipe in a few locations. Put these dampeners on in a couple of locations, by moving them back and forth about 6" on either side you could find the "sweet spot" that stops resonance.
Hmmm, lead wire might melt on the hotter parts of the exhaust upstream, so copper wire might be a better solution. Cheap, fast, and simple.