Toronto Math Forum
APM3462015S => APM346Home Assignments => HA8 => Topic started by: Chaojie Li on March 19, 2015, 09:13:07 PM

Using Newton shell theorem (see [Section 6 of Lecture 25]) prove that if Earth was a homogeneous solid ball then the gravity pull inside of it would be proportional to the distance to the center.

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Yes exactly: if you drill a tunnel and drop a ball it will be a harmonic oscillations $r'' =  kr $ with $k= g/R$.
Don't try this at home on our planet! :D