Kick Wheel Queries

This is my kick wheel. It's an old Randall I bought off EBay in 2013. It originally came from Marietta College, says the label on the seat post. 

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From the beginning it's had a little shimmy that I barely notice, but drives my husband insane. Every so often he looks it over and tries to determine the cause. This time he flipped it over and found what he believes to be the culprit.  

 Weights added to the bottom of my Randall kick wheel.  

Weights added to the bottom of my Randall kick wheel.  

I'm guessing they were added to make the wheel spin longer. However, adding them all in one spot is causing the wheel to spin unevenly and shimmy a smidge. It's not really noticeable on small pieces, but can be a little challenging when throwing large.  

So, we decided to try and remove them.  

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The dremel didn't do much, so we moved up to the angle grinder with a cutting disk. It was still taking forever. These welds were meant to never be broken!  So, we decided to take a break. 

As we sat drinking our coffee, with the wheel on its side, we noticed that the weights had spun to the top. We stared, baffled. Shouldn't they be at the bottom?  No matter how we turned the wheel they always made their way back to the top. So, we decided to stop the removal and are now thinking of adding more weight to see if we can get it balanced.  

Anyone else have a kick wheel with this sort of issue?  I couldn't find much info out there on the Internet.  

As of today, we didn't have the energy to haul it out to the garage to weld on more weight. And I can't decide if it really needs fixed. So, it continues to drive the husband crazy, but at least he solved the mystery. 

Happy uncentering everyone!

 My favorite slightly off center pot.  

My favorite slightly off center pot.