https://wiki.guldforum.se/w/index.php?action=history&feed=atom&title=Parallellaxelteoremet
Parallellaxelteoremet - Versionshistorik
2026-10-18T22:24:40Z
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https://wiki.guldforum.se/w/index.php?title=Parallellaxelteoremet&diff=12746&oldid=prev
Dan Olsson den 2 mars 2013 kl. 20.42
2013-03-02T20:42:57Z
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Äldre version</td>
<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Versionen från 2 mars 2013 kl. 16.42</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l1">Rad 1:</td>
<td colspan="2" class="diff-lineno">Rad 1:</td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>[[Bild:Steiner.png|thumb|En kropp har ett tröghetsmoment med hänseende till en axel ''Z'' genom dess tyngdpunkt C; Steiners sats ger tröghetsmomentet kring en axel ''Z'''.]]</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>[[Bild:Steiner.png|thumb|En kropp har ett tröghetsmoment med hänseende till en axel ''Z'' genom dess tyngdpunkt C; Steiners sats ger tröghetsmomentet kring en axel ''Z'''.]]</div></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>'''Parallellaxelteoremet''' eller '''Steiners sats''' används för att förflytta en kropps [[tröghetsmoment]] från en axel genom [[masscentrum]] till en axel parallell med denna. Teoremet möjliggör beräkning av [[tröghetsmoment]]et för en [[stel kropp]]. Satsen härleddes ursprungligen av den schweiziske matematikern <del style="font-weight: bold; text-decoration: none;">[[</del>Jakob Steiner<del style="font-weight: bold; text-decoration: none;">]]</del>.</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>'''Parallellaxelteoremet''' eller '''Steiners sats''' används för att förflytta en kropps [[tröghetsmoment]] från en axel genom [[masscentrum]] till en axel parallell med denna. Teoremet möjliggör beräkning av [[tröghetsmoment]]et för en [[stel kropp]]. Satsen härleddes ursprungligen av den schweiziske matematikern Jakob Steiner.</div></td></tr>
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<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Satsen lyder</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Satsen lyder</div></td></tr>
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<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>[[Kategori:Mekanik]]</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>[[Kategori:Mekanik]]</div></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;"></del></div></td><td colspan="2" class="diff-side-added"></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">[[bg:Правило на Щайнер]]</del></div></td><td colspan="2" class="diff-side-added"></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">[[cs:Steinerova věta]]</del></div></td><td colspan="2" class="diff-side-added"></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">[[da:Parallel-akse-teoremet]]</del></div></td><td colspan="2" class="diff-side-added"></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">[[de:Steinerscher Satz]]</del></div></td><td colspan="2" class="diff-side-added"></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">[[en:Parallel axis theorem]]</del></div></td><td colspan="2" class="diff-side-added"></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">[[es:Teorema de Steiner]]</del></div></td><td colspan="2" class="diff-side-added"></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">[[fr:Moment d'inertie#Théorème de transport (ou théorème d'Huygens ou théorème de Steiner)]]</del></div></td><td colspan="2" class="diff-side-added"></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">[[ko:평행축 정리]]</del></div></td><td colspan="2" class="diff-side-added"></td></tr>
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<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">[[id:Teorema sumbu sejajar]]</del></div></td><td colspan="2" class="diff-side-added"></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">[[it:Teorema di Huygens-Steiner]]</del></div></td><td colspan="2" class="diff-side-added"></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">[[he:משפט שטיינר]]</del></div></td><td colspan="2" class="diff-side-added"></td></tr>
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<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">[[no:Parallellakseteoremet]]</del></div></td><td colspan="2" class="diff-side-added"></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">[[pl:Twierdzenie Steinera (mechanika)]]</del></div></td><td colspan="2" class="diff-side-added"></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">[[pt:Teorema de Steiner]]</del></div></td><td colspan="2" class="diff-side-added"></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">[[ro:Teorema lui Steiner]]</del></div></td><td colspan="2" class="diff-side-added"></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">[[ru:Теорема Гюйгенса-Штейнера]]</del></div></td><td colspan="2" class="diff-side-added"></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">[[sl:Steinerjev izrek]]</del></div></td><td colspan="2" class="diff-side-added"></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">[[fi:Steinerin sääntö]]</del></div></td><td colspan="2" class="diff-side-added"></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">[[uk:Теорема Штейнера]]</del></div></td><td colspan="2" class="diff-side-added"></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">[[vi:Định lý trục quay song song]]</del></div></td><td colspan="2" class="diff-side-added"></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">[[zh:平行軸定理]]</del></div></td><td colspan="2" class="diff-side-added"></td></tr>
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Dan Olsson
https://wiki.guldforum.se/w/index.php?title=Parallellaxelteoremet&diff=10738&oldid=prev
Dan Olsson: 1 version
2013-02-25T15:23:26Z
<p>1 version</p>
<p><b>Ny sida</b></p><div>[[Bild:Steiner.png|thumb|En kropp har ett tröghetsmoment med hänseende till en axel ''Z'' genom dess tyngdpunkt C; Steiners sats ger tröghetsmomentet kring en axel ''Z'''.]]<br />
'''Parallellaxelteoremet''' eller '''Steiners sats''' används för att förflytta en kropps [[tröghetsmoment]] från en axel genom [[masscentrum]] till en axel parallell med denna. Teoremet möjliggör beräkning av [[tröghetsmoment]]et för en [[stel kropp]]. Satsen härleddes ursprungligen av den schweiziske matematikern [[Jakob Steiner]].<br />
<br />
Satsen lyder<br />
:<math> \ I_{z'} = I_z +Md^2</math><br />
Där <math> \ I_{z'} </math> är det sökta tröghetsmomentet, <math> \ I_z </math> är ett känt tröghetsmoment runt masscentrum, ''M'' är objektets massa och ''d'' är avståndet mellan axeln och masscentrum.<br />
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{{mekanikstub}}<br />
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[[Kategori:Mekanik]]<br />
<br />
[[bg:Правило на Щайнер]]<br />
[[cs:Steinerova věta]]<br />
[[da:Parallel-akse-teoremet]]<br />
[[de:Steinerscher Satz]]<br />
[[en:Parallel axis theorem]]<br />
[[es:Teorema de Steiner]]<br />
[[fr:Moment d'inertie#Théorème de transport (ou théorème d'Huygens ou théorème de Steiner)]]<br />
[[ko:평행축 정리]]<br />
[[hi:समान्तर अक्ष का प्रमेय]]<br />
[[id:Teorema sumbu sejajar]]<br />
[[it:Teorema di Huygens-Steiner]]<br />
[[he:משפט שטיינר]]<br />
[[nl:Stelling van Steiner]]<br />
[[no:Parallellakseteoremet]]<br />
[[pl:Twierdzenie Steinera (mechanika)]]<br />
[[pt:Teorema de Steiner]]<br />
[[ro:Teorema lui Steiner]]<br />
[[ru:Теорема Гюйгенса-Штейнера]]<br />
[[sl:Steinerjev izrek]]<br />
[[fi:Steinerin sääntö]]<br />
[[uk:Теорема Штейнера]]<br />
[[vi:Định lý trục quay song song]]<br />
[[zh:平行軸定理]]</div>
Dan Olsson