Application of integrals to find moment Inertia

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SUMMARY

The discussion focuses on the application of integrals to calculate moment inertia of areas, specifically in physics projects. The user seeks project ideas that effectively utilize this mathematical concept, considering options like windmills or fan blades. The conversation highlights the importance of symmetry in mass distribution when applying the theory, emphasizing that the theory is primarily relevant for 2D objects. The user requests clarification on the practical implementation of these concepts in a project.

PREREQUISITES
  • Understanding of integral calculus
  • Familiarity with moment of inertia concepts
  • Basic knowledge of physics principles related to rotational motion
  • Experience with project design and implementation
NEXT STEPS
  • Research "Applications of integrals in physics" for project ideas
  • Explore "Calculating moment of inertia for 2D shapes" techniques
  • Learn about "Symmetry in mass distribution" and its implications
  • Investigate "Designing simple mechanical models" that utilize integrals
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Students and educators in physics and mathematics, project designers, and anyone interested in applying integrals to real-world physical systems.

Kumaken
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I need to make a project that integrates physics with math, involving the use of integrals to find moment inertia of areas. The theory could be read here :http://www.intmath.com/applications-integration/6-moments-inertia.php

I need to make an object that applies the theory above. Can anybody recommend me what should I make?

*note : I have a few idea in mind like making small windmill or fan blades that rotate, but are they appropriate? Cause I think the theory only applies to 2D objects...

*another note : If it's too much hassle, what project do you think is simple that involves the application of integrals in physics? Thank you very much in advance.
 
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For anything that is symmetric above with below a plane will be like you concentrated all the mass that has coordinates x, y into the xy plane, maybe that extends your possibilities.
 
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epenguin said:
For anything that is symmetric above with below a plane will be like you concentrated all the mass that has coordinates x, y into the xy plane, maybe that extends your possibilities.
I'm sorry but I kinda do not understand... can you please elaborate? Sorry for the trouble.
 

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