Monday, 8 June 2020

homework and exercises - Gravitational force when standing on an infinite disc


If a person were to stand on a flat disc of thickness 1 meter but infinite diameter, would they experience finite or infinite downward force?



There is an infinite amount of mass, all of which attracts the person but most of which is also infinitely far away. Do the two "cancel out" or does the infinite mass win?


For a precise definition of "infinite diameter", take the limit of a circular disc with diameter $x$ as $x$ approaches infinity, with the person standing on top of the disc's center of gravity.




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