Centre of mass and moment of mass

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The moment of mass for a system of particles, often referred to as moment of inertia, is calculated relative to the center of mass. It is defined as the sum of each particle's mass multiplied by its distance from a chosen reference point. At the center of mass, this moment simplifies to a single value. Understanding this relationship is crucial for analyzing the dynamics of a system. The discussion emphasizes the importance of the center of mass in calculating the moment of mass.
jishitha
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What is moment of mass of system of particles? And how it relates centre of mass...?
 
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The moment of mass of a system of particles is defined in the link below:

http://en.wikipedia.org/wiki/Center_of_mass

The moment of mass of a system of particles is equal to the sum of the product of each particle's mass and its distance from an arbitrary reference. At the location of the center of mass, the moment must necessarily be a single number. What is it?
 

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Thread 'A cylinder connected to a hanging mass'

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