If you drop an object through a hole in the Earth stretching from the North Pole to the South Pole, it would oscillate back and forth about 17 times per daypic.twitter.com/crCfBFK2qp
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Just assume no resistance.
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that's not what does it, it's the coriolis force that would do it.. Any point off axis of the rotation will have an additional angular velocity
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*cough* someone doesn't know physics in non-inertial reference frames *cough*
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Add some butter on the wall, with the heat, will be perfect for nuggets.
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Coriolis force is orthogonal to velocity, so assuming perfectly smooth walls it shouldn't contribute. Centrifugal force might be more of an issue, though.
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Yes, the path is completely different with rotation and neither the models of constant gravity nor with constant density are good approximations, see the recent article: "Free fall through the rotating and inhomogeneous Earth" by S. Isermannhttps://doi.org/10.1119/1.5100942 …
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