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Could anyone recommend me some software that helps me teach about the centroid of an object?

Something that was dynamic on the computer screen.

Destined for 18 years of age.

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Perhaps this simple Center of Mass Builder is what you had in mind?


          Snapshot
As one click-adds (blue) mass to an object, the center of mass updates dynamically. Then you can pin a swivel point with the (green) pin, and the shape swings around that point under the influence of gravity.
          Swivel


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If you or your student(s) are aquainted with Geogebra, you can define geometrical objects in 2D and subject the object to the function Centroid, which provides you with a point.

You may want to check out the community's pertinent ressources on https://www.geogebra.org/search/perform/search/centroid

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