How Can Moment of Inertia Be the Same at the Radius of a Ring and Its Center?

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SUMMARY

The discussion centers on the concept of moment of inertia (MoI) being the same at the radius of a ring and its center. Participants clarify that the moment of inertia is typically referenced concerning the center of the ring, and there is confusion regarding the term "at radius." The conversation emphasizes the need for precise definitions and context when discussing MoI, particularly in relation to geometric shapes like rings.

PREREQUISITES
  • Understanding of moment of inertia (MoI) concepts
  • Familiarity with basic physics principles related to rotational dynamics
  • Knowledge of geometric properties of rings
  • Ability to interpret equations related to moment of inertia
NEXT STEPS
  • Research the mathematical derivation of moment of inertia for different shapes, including rings
  • Learn about the parallel axis theorem and its application to moment of inertia
  • Explore the differences in moment of inertia calculations for solid and hollow objects
  • Study the implications of moment of inertia in real-world applications, such as mechanical engineering
USEFUL FOR

Students of physics, mechanical engineers, and anyone interested in understanding the principles of rotational motion and moment of inertia.

Benjamin_harsh
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Homework Statement
How can moment of inertia is same at radius of ring and at the center of it?
Relevant Equations
How can moment of inertia is same at radius of ring and at the center of it?
While I am reading this article, it says moment of inertia is same at
radius of ring and at the center of it. How is that possible?
 
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Benjamin_harsh said:
Problem Statement: How can moment of inertia is same at radius of ring and at the center of it?
Relevant Equations: How can moment of inertia is same at radius of ring and at the center of it?

While I am reading this article, it says moment of inertia is same at
radius of ring and at the center of it. How is that possible?
Not sure what you mean by MoI "at radius".
The references on that page all seem to concern MoI about the centre of the ring.
Can you be more specific about what concerns you?
 

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