Bill,
It's pretty much impossible for me to diagnose the problem from the photos. My guess is either some of the mounting screws have vibrated loose, or you have blown the speaker and the spider is shot. Take the back off the speaker that is not rattling, then compare the two. This may provide some insight to what is making the noise.
Hope this helps,
Gary
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Travlin' Easy
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PSR-S950, TC Helicon Harmony-M, Digitech VR, Samson Q7, Sennheiser E855, Custom Console, and lots of other silly stuff!
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