Moment of inertia: tricky ways

We use dimensional analysis as well as the parallel axis theorem to obtain the moment of inertia for some homogeneous two-dimensional objects. These objects should possess some sort of symmetry: they should have shapes that can be decomposed into smaller copies of themselves. In the second part of t...

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Bibliographic Details
Published in:European journal of physics 2022-05, Vol.43 (3), p.35005
Main Author: Aghamohammadi, Amir
Format: Article
Language:English
Subjects:
dimensional analysis
moment of inertia
parallel axis theorem
rep-tiles
Citations: Items that this one cites
Online Access:Get full text
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Summary:We use dimensional analysis as well as the parallel axis theorem to obtain the moment of inertia for some homogeneous two-dimensional objects. These objects should possess some sort of symmetry: they should have shapes that can be decomposed into smaller copies of themselves. In the second part of the article, it is seen that as the moment of inertia of a composed object is the summation of the moment of inertia of its decomposed parts, this may give us a shortcut to obtaining the moment of inertia of some objects.
ISSN:0143-0807
1361-6404
DOI:10.1088/1361-6404/ac59df