If I understand you correctly: the Earth is way way way way way way way way to big for something like an orbital tether too have any real effect on its movement. Besides the fact that due to the counterweight there's minimal tension on the ground.

I almost wrote "nothing man made", which is true for anything we can do now. But if you think scifi enough there's little that can't be done. Turning the Earth inside out is quite possible for certain levels of civilization.