Recalculate the gravitational force exerted by a sphere of r
Question and Solution
Recalculate the gravitational force exerted by a sphere of radius a and areal density centred at the origin on a point m
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Recalculate the gravitational force exerted by a sphere of radius a and areal density centred at the origin on a point mass located at .0; 0; b/ by directly integrating the vertical component of the force due to an area element dS, rather than by integrating the potential as we did in the last part of Section 15.5. You will have to be quite creative in dealing with the resulting integral.
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