Not Ranked
I would not like to be anywhere near a flywheel with weight WELDED on to it--------
Ford engines have used two different amounts of unbalance--28 and 50 in oz----and of course that gives you the possibility of having 3 different/wrong weights on both front or rear-----
You could get a new aftermarket flywheel which can come with both the 28 and 50 in/oz wt plus of course be Zero balanced with out either --- then you can run the engine with no weight, 28, or 50 to see if this corrects the problem-------(assuming front balancer is OK)----
And I'm assuming you mean an entire car SHAKE instead of a little noisy exhaust vibration possibly coming from a loose silencer inside the side pipe---------
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