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Gravitation Inside A Uniform Hollow SphereThe gravitational force inside a hollow sphere shell of uniform areal mass density is everywhere equal to zero, and may be proved by the following argument: Let the sphere have
a radius a. Place a point P inside the sphere at a distance r from the
center where r < a; i.e., r is strictly less than a. Draw a line through
P to intersect the sphere at two opposite points. Call these points Now place a differential
area dA dF
= But dA dF
= This result is true
for all choices of dA |
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