Center of Mass of a 3D Pyramid (Non-Calculus)
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Find the center of mass of a 3-D pyramid without using calculus.
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The center of mass of a 3-D pyramid is found without using calculus. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.
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Proofs #7 and #5
These proofs use the same preliminary lemmas 1-4 as proofs #1 and #2, so that we are at the stage that we look at an equilateral (regular) tetrahedron and want to find the height of its COM, and also we use the notion from #2 that COM is also the center of symmetry of the pyramid.
Proof #7
Figure 7: The center of inscribed sphere
As the COM is the center of symmetry, it is also the center of the inscribed sphere (X ...
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