Moment of Inertia: Proving Mass, Side & Axis | 1/12 md²

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Discussion Overview

The discussion revolves around proving the moment of inertia of a uniform square of mass m and side d about an axis through its center, parallel to one of its sides. The focus is on the theoretical understanding and mathematical derivation involved in this proof.

Discussion Character

  • Homework-related, Mathematical reasoning

Main Points Raised

  • One participant requests assistance in proving that the moment of inertia is 1/12 md².
  • Another participant emphasizes the importance of understanding the definition of moment of inertia and suggests that it involves integration.
  • A participant expresses confusion regarding the procedure for the proof and acknowledges their understanding of the definition.
  • There is a suggestion for the participant to write down the integral and attempt the integration as part of their proof.

Areas of Agreement / Disagreement

Participants generally agree on the need to use integration to prove the moment of inertia, but there is no consensus on the specific steps or methods to be used in the proof.

Contextual Notes

The discussion does not provide specific details on the integration process or assumptions that may affect the proof, leaving those aspects unresolved.

Chadi B Ghaith
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I need help to prove that the moment of inertia of a uniform square of mass m and side d about an axis through its centre, parallel to a side is 1/12 md²
 
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Chadi B Ghaith said:
I need help to prove that the moment of inertia of a uniform square of mass m and side d about an axis through its centre, parallel to a side is 1/12 md²
OK, what kind of help ? You know the definition of moment of inertia ? It amounts to an integration; does that pose a problem ? Write it out and we'll help you further.
 
BvU said:
OK, what kind of help ? You know the definition of moment of inertia ? It amounts to an integration; does that pose a problem ? Write it out and we'll help you further.
Hi,
Yes I know the definition of inertia. What I am asking is how to prove the above statement. I am bit confuse in procedure.
 
Good you know it. Write down the integral and attempt to do the integration in your next post. The outcome of your calculation is your 'proof'.
 

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