There is a disaster movie about a global cataclysm that results in Kilimantzaro becoming the north pole or something. Maybe this is plausible in terms of plate tectonics. Or maybe not. But I've got another question, a purely mathematical one: if the earth were a solid sphere, no plates and such, no magma, no liquid core, no density variation, just a mathematical uniform solid sphere, then how much energy would it require to shift its geographical north pole to another point on its surface 90 degrees away from its previous location OR change the place in the sky where the axis points without changing the pole location? So it's two questions. Make the sphere as big as the earth and just as massive, and give it the same moment of inertia and period of rotation too.