Classic symptoms of "chattering" Positraction clutch plates, especially when turning from a standstill. Someone either put the wrong lube in the diff or didn't add the required GM Positraction additive (4 oz. bottle, P/N 1052358). Go to your Chevy dealer and get two quarts of GM Positraction lube and two bottles of the additive; get a suction gun and suck out all the existing lube you can, add 1-1/2 bottles of the additive, and then add the GM Positraction lube to the bottom of the fill hole.
Then drive to a large parking lot and do a series of slow figure 8's to get the new lube/additive inbetween the Posi clutch plates, and drive it around town. If it still chatters after a few miles, repeat the figure 8 routine again. If it still chatters, you're probably due for a Posi unit rebuild.
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John
'67 Convertible
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