Gravitation

We all know that the gravitational field inside a thin spherical shell is zero. There are different methods to prove this. I came across one such odd yet amazing method . I would like everyone to try proving it by this method .I will put my proof in a couple of days.

Zero force inside a sphere.

Show that the gravitational force inside a spherical shell is zero by showing
that the pieces of mass at the ends of the thin cones in the figure give
canceling forces at point P (any point inside the sphere).

#Mechanics

Easy Math Editor

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Comments

What was your method?

Aditya Kumar - 5 years, 4 months ago

same can you prove the same thing for an ellipsoid?

Ayush Shridhar - 5 years, 4 months ago

I'll try that also. Thanks for enlightening.

Aditya Kumar - 5 years, 4 months ago

Ellipsoid will be having the same proof. There'll be a change in diagram. Rest all will be the same thing.

Aditya Kumar - 5 years, 4 months ago

The tougher task is doing the same thing for an ellipsoid. I am trying to prove that! Might take a couple of days.

Ayush Shridhar - 5 years, 4 months ago

Math	Appears as
Remember to wrap math in `\(` ... `\)` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$