What is the significance of the center of mass in a physical system and how is it determined mathematically?

Glencoe Physics: Principles and Problems, Student Edition
1st Edition
ISBN:9780078807213
Author:Paul W. Zitzewitz
Publisher:Paul W. Zitzewitz
Chapter8: Rotational Motion
Section8.3: Equilibrium
Problem 43SSC
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What is the significance of the center of mass in a physical system and how is it determined mathematically?

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