Answer to Question #6040 in Mechanics | Relativity for Rich Newell

Question

I was considering a balanced object rotating and the affect and the negative affect of an improperly balanced object. (I initially was thinking of how a wheel tire vibrates when a weight is removed)
From this concept I started to think on a larger scale specifically, the Earth, Man has taken the natural resources of the earth and has mined them, changed their forms (Iron ore to construction beams, rocks, gravel and dirt for example).
Now Man has created Cities and localized the weights from the redistribution of these natural resources, once spread out.
Would it be possible to add too much weight on the earth (New York City and / or other Major Metropolitan areas) and affect the earth’s rotation and cause a wobble? If these areas were equally opposed then the balance should be negligible, however I am unable to prove that is the case.
By re-distributing the mass associated with these natural resources to theses metropolitan areas could it create an out-of-balance rotating Earth?