Timeline for Moment of Inertia of Torus
Current License: CC BY-SA 4.0
11 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Nov 30 at 23:50 | comment | added | John Alexiou | I used a free version of the 3D CAD software called SpaceClaim. The free version is called DesignSpark Mechanical | |
| S Nov 23 at 13:39 | history | suggested | Sahaj | CC BY-SA 4.0 |
fix some formatting
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| Nov 23 at 12:33 | review | Suggested edits | |||
| S Nov 23 at 13:39 | |||||
| Nov 23 at 12:29 | comment | added | Sahaj | Hello John. What software did you use for the image? | |
| Oct 20 at 15:45 | comment | added | John Alexiou | @HugdeRoda - if it didn't, I would have made a mistake somewhere. | |
| Oct 20 at 15:41 | comment | added | Hug de Roda | It's nice to see that the moment of inertia coincides with that of a thin loop when $R\to 0$. | |
| Apr 20, 2017 at 14:18 | comment | added | Luan Nico | thanks for your reply! :)) The wikipedia result matches yours, since we are talking about the z axis: $\frac{m}{4}(3R^2+4\rho^2)$ (it just put the $\frac{1}{4}$ inside). About the volume element, I used $dV = A \cdot dr'$, where $dr'$ is a linear element from the circunference; if I use $\rho d\theta$, I get the same result; I integrate $r'$ from $0$ to $2 \pi \rho$ (circ.), and I integrate $\theta$ from $0$ to $2 \pi$. | |
| Apr 19, 2017 at 23:30 | comment | added | John Alexiou | Honestly I couldn't follow exactly. The logic does not flow smoothly. Also I think the volume of the red circle is ${\rm d}V = {\rm d}A \rho {\rm d}\theta = \pi R^2 \rho {\rm d}\theta$ and this is not what you have. Also the wikipedia value you mention is not what the correct result is. | |
| Apr 19, 2017 at 22:08 | comment | added | Luan Nico | I understood your answer, but after reevaluating mine, I still can't figure out what's wrong... Could you please comment on that? | |
| Apr 19, 2017 at 21:17 | history | edited | John Alexiou | CC BY-SA 3.0 |
added 296 characters in body
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| Apr 19, 2017 at 21:08 | history | answered | John Alexiou | CC BY-SA 3.0 |