Moment of inertia

Moment of inertia

Postby markosheehan » Mon Aug 22, 2016 4:09 pm

Prove that the moment of inertia of a uniform square of mass m and side d about an axis through its center, parallel to a side is 1/12 m d².
markosheehan
 
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Re: moment of inertia

Postby Guest » Tue Aug 23, 2016 3:41 am

By the stretch rule
https://ccrma.stanford.edu/~jos/pasp/Stretch_Rule.html
this is the same as the inertia of a rod, with the rotation axis going through its center.
There are lots of derivations that you can find online:
https://www.miniphysics.com/uy1-calcula ... d-rod.html

Hope this helped,

R. Baber.
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