
newtonian mechanics - Is the shell theorem only an approximation ...
Jan 11, 2015 · The shell theorem is derived mainly from Newton's laws of motion, in particular, the Newton's second law, which only apply to particles. The condition that Newton's second law …
About Newton's Shell Theorem - Physics Stack Exchange
Nov 4, 2012 · Newton proved in Principia that the total gravity that a sphere exerts over a material point is the same as if all the mass of the sphere were concentrated on its center. I wonder if …
The converse of Newton's shell theorem - Physics Stack Exchange
Mar 12, 2017 · In this answer, we give a proof of the converse shell theorem for an exterior point mass summing over forces rather than potentials, in the spirit of OP's calculation.
The correct integral for Newton's shell theorem
Apr 19, 2015 · The shell theorem (for spherically symmetric objects) can be viewed as a consequence of Gauss's Law for gravity. If you're familiar with the version from electrostatics, …
Newton's Shell Theorem - Physics Stack Exchange
Nov 21, 2021 · Newton's Shell Theorem Ask Question Asked 4 years, 1 month ago Modified 4 years, 1 month ago
Proving the Shell Theorem: A Simplified Approach Using …
Aug 21, 2015 · I have worked through proofs of the Shell Theorem using the integral form of Gauss's Law. However, in this exercise (I'm self studying) we have not covered the integral …
Newton's shell theorem in 2d [closed] - Physics Stack Exchange
Sep 20, 2015 · I was wondering how to prove the analog of Newton's shell theorem for 2 dimensions, in which gravity obeys an inverse-linear law. Meaning: that an anywhere inside a …
Why is there no electric field inside a conducting shell but a ...
Feb 18, 2022 · The absence of a gravitational force inside of a spherical shell of mass was first proved in Newton’s Principia. Electrostatic attraction and repulsion is a 1/r2 1 / r 2 force, just …
How Does Newton's Shell Theorem Affect Gravitational Force on …
Apr 27, 2006 · The discussion centers on Newton's Shell Theorem and its implications for gravitational force experienced by objects within a spherical shell, specifically in the context of …
Newton's Shell Theorem and charge - Physics Forums
Jun 9, 2020 · The discussion centers on Newton's Shell Theorem and its implications for gravitational and electric fields. A negative charge inside a hollow sphere of positive charge …