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Calculating the Center of Mass of a System of Particles

Three point objects are located at various locations on a Cartesian coordinate system. Mass 1, with a mass of 1.1 kg, is located at (1.0,1.5) m. Mass 2, with a mass of 3.4 kg, is located at (3.0,1.0) m. Mass 3, with a mass of 1.3 kg, is located at (1.5,2.5) m. Where is the center of mass of the three-object system? Want Lecture Notes? This is an AP Physics 1 topic.

Content Times:
0:07 The problem
2:30 The equation
4:16 Solving the problem
5:51 Not the centroid!

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Thank you to Youssef Nasr for transcribing the English subtitles of this video.

Picture credits:
Cartesian Coordinate System https://commons.wikimedia.org/wiki/File:Cartesian-coordinate-system.svg
René Descartes https://commons.wikimedia.org/wiki/File:Frans_Hals_-_Portret_van_René_Descartes.jpg

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