Okay. If it is on take off with aggressive acceleration, that is most likely your issue. Clearly without feeling it, I can't tell you if it is normal. However, keep in mind, that what you are feeling is the slack being taken out of the drive-train. The question is, is that too much. The only way to know that is to measure output shaft end play but that is done when rebuilding the unit. There is no spec on output yoke end play which is what you are seeing.
The only way I have had success with checking this is comparing it to another unit that does not have the same noise. Clearly that is not helpful in this case.
I attached another TSB that talks about single clunks on acceleration and then throttle release. Basically this is called gear clash and it is normal.
If your clunk is excessive then the only option is to go through the drive-train and reduce the tolerance between each of these transitions. That means from input shaft, output shaft/yoke, u-joints, and then the pinion and backlash.
Unfortunately there is no one thing that can cause what you are seeing and a 1/16th of an inch movement on the yoke does not sound excessive to me.
Does this do it on "normal" acceleration or does it have to be aggressive?
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Saturday, February 29th, 2020 AT 3:06 PM