3D Center of Mass Calculator
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This example demonstrates the calculation and visualization of the center of mass for six 3D points. It involves core mathematical concepts such as vector operations, complex numbers, power functions, quadratic functions, and the center of mass formula. The construction uses GeoGebra commands like Sphere and Vector, creating multiple mass points, vectors, and center of mass objects. Suitable for high school students and math enthusiasts learning about center of mass calculations in 3D space.
GeoGebra Commands & Parameters
Sphere(M_{01}, m_{01} / 10) → s_{01}Sphere(M_{02}, m_{02} / 10) → s_{02}Sphere(M_{03}, m_{03} / 10) → s_{03}Sphere(M_{04}, m_{04} / 10) → s_{04}Sphere(M_{05}, m_{05} / 10) → s_{05}Sphere(M_{06}, m_{06} / 10) → s_{06}Vector(M_{01}, CenterMass_{01}) → v_{01}Vector(M_{02}, CenterMass_{01}) → v_{02}Vector(M_{03}, CenterMass_{01}) → v_{03}Vector(M_{04}, CenterMass_{01}) → v_{04}Vector(M_{05}, CenterMass_{01}) → v_{05}Vector(M_{06}, CenterMass_{01}) → v_{06}