Find the center of mass of a 4D pyramid (cube base) using calculus.
Explanations, step-by-step procedure, diagram if possible.© BrainMass Inc. brainmass.com March 4, 2021, 8:08 pm ad1c9bdddf
The calculus proof starts similar to the N-slices proof:
We assume the pyramid is straight, that its side edges are all of the same length and its 4-height connects its top with the center of the base cube.
The center of mass (COM) of a cube is in the cube's center.
Let the base cube have side A, then its 3D volume is ...
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