How to find the moment of inertia of a cube?

  • #1
Hello,

If I have a rigid cube rotated about an axis with dimensions L x W x H centimeters, how can we find the moment of inertia?

Thank you.
 

Answers and Replies

  • #2
418
28
You can calculate the moment of rotational inertia of a body rotating about an axis passing through a point [itex]P[/itex] using the formula:[tex] I_P = \int_V \rho(\mathbf{r})\,\mathbf{r}^2 \, dV[/tex] where [itex]\mathbf{r}[/itex] is the radius vector to a point in the body from the axis passing through [itex]P[/itex]. See here: http://en.wikipedia.org/wiki/Moment_of_inertia

You can often look up the moments of inertia for some typical bodies rotating around typical axes:
http://en.wikipedia.org/wiki/List_of_moments_of_inertia
 

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