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Triple integral to find the gravity inside a solid sphere

  1. Nov 4, 2008 #1
    gravity inside a solid sphere

    1. The problem statement, all variables and given/known data
    I'm having a hard time setting up a triple integral to find the force of gravity inside a solid sphere. I've done a similar proof in physics before with gravity inside a spherical shell, but it only required a single integral. In this problem the answer must be derived using a triple integral.

    2. Relevant equations
    Newton's law of gravity:

    |[tex]\vec{F_{grav}}[/tex]|= [tex]\frac{GmpdV}{r^{2}}[/tex]

    3. The attempt at a solution
    I believe i found a way to set up the triple integral using spherical coordinates on another physics forum thread, but I don't understand how to get the integrand. Can someone please explain the way the intergrand was derived in the following integral?

    Last edited: Nov 5, 2008
  2. jcsd
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