# Efficiently calculating the magnitude of gravitational force

by Richard Nash
Tags: gravitation force
 P: 1 I am reading Kolenkow and Kleppner's Classical Mechanics and they have tried to calculate the gravitational force between a uniform thin spherical shell of mass $M$ and a particle of mass $m$ located at a distance $r$ from the center. The shell has been divided into narrow rings.$R$ has been assumed to be the radius of the shell with thickness $t$ ([itex]t<
 Mentor P: 11,928 You can use Gauß' law and symmetry. But if you want to calculate it via an integral, I don't think there is an easier way.