Moment of inertia

by **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.

by **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.