Not Ranked
What rear end do you have?? 9", 8.8", Jag, Dana??? Tell us everything you know about it. If you had a 8.8" or a 9" and had a Detroit Locker ... while ... making a slight radius turn when you hear it then I'd say it is normal.
Yes, you will have some play in the differential. A couple degrees would be normal. Again, thats dependent on mfr, design etc. Some diffs make a noise when you rapidly load/unload them too. Typically more free-play = more noise.
I'd strap it down on a chassis dyno (50 to 75 bucks or so) and you'll be able to truly duplicate conditions to find out for sure where it's coming from..
Dave
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Too many toys?? never!
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