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Center of Gravity (mass) of a Pyramid - no calculus

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Find the center of mass of a pyramid (square base) without using calculus. I need as many different solutions as possible (my professor says he found 13 different algebraic methods).

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https://brainmass.com/physics/gravity/center-gravity-mass-pyramid-calculus-145319

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Find the center of mass of a pyramid (square base) without using calculus. I need as many different solutions as possible (my professor says he found 13 different algebraic methods).

1. Right Triangle:
Other Triangles:

Find the center of mass for one face [treating it as a two dimensional triangle (See Figure)]. Project a line through and perpendicular to the center of the ...

Solution Summary

A few methods for determining the center of gravity of a pyramid without using Calculus.

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