Hello,
If Earth were to suddenly stop rotating, the acceleration due to gravity at the North Pole would not change. This is because the centripetal force produced by Earth's rotation does not affect the poles. At the equator, Earth's rotation exerts a centrifugal force that partially reduces the apparent gravity. But at the North Pole, there isn't one such centrifugal force because Earth's axis of rotation passes through the poles, so its acceleration due to gravity is the same as the standard value of about 9.8 m/s² .
Hence, if Earth were to stop rotating altogether, the only places affected would be the ones far away from the poles where without that rotation, the effective gravitational force would increase. At the North Pole though, gravity doesn't.
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