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D5. Geometria de masses - Historial de revisió
2026-08-10T02:50:30Z
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Eantem: /* ✏️ Exemple D5.7: rotor simètric */
2026-02-24T18:01:59Z
<p><span dir="auto"><span class="autocomment">✏️ Exemple D5.7: rotor simètric</span></span></p>
<table style="background-color: #fff; color: #202122;" data-mw="interface">
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Versió més antiga</td>
<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revisió del 18:01, 24 feb 2026</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l479">Línia 479:</td>
<td colspan="2" class="diff-lineno">Línia 479:</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;"><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;"><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" 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>'''Propietat 5''': Quan un sòlid té tres o més moments d’inèrcia en un mateix pla ij iguals per a un punt <math>\Os</math>, '''també és un rotor simètric per a''' <math>\Os</math>:<math>\Bigr[\mathrm{II}(\Os) \Bigr]_\mathrm{ijk}=\Bigr[\mathrm{II}(\Os) \Bigr]_\mathrm{i'j'k<del style="font-weight: bold; text-decoration: none;">'</del>}</math>. La demostració és més llarga que la de la propietat 4, i s’omet.<br></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>'''Propietat 5''': Quan un sòlid té tres o més moments d’inèrcia en un mateix pla ij iguals per a un punt <math>\Os</math>, '''també és un rotor simètric per a''' <math>\Os</math>:<math>\Bigr[\mathrm{II}(\Os) \Bigr]_\mathrm{ijk}=\Bigr[\mathrm{II}(\Os) \Bigr]_\mathrm{i'j'k}</math>. La demostració és més llarga que la de la propietat 4, i s’omet.<br></div></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;"><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>====✏️ Exemple D5.8: rotor simètric ====</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>====✏️ Exemple D5.8: rotor simètric ====</div></td></tr>
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Eantem
https://mec.etseib.upc.edu/ca/index.php?title=D5._Geometria_de_masses&diff=7749&oldid=prev
Bros: /* ✏️ Exemple D5.9: rotor esfèric */
2025-05-08T12:23:32Z
<p><span dir="auto"><span class="autocomment">✏️ Exemple D5.9: rotor esfèric</span></span></p>
<table style="background-color: #fff; color: #202122;" data-mw="interface">
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Versió més antiga</td>
<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revisió del 12:23, 8 maig 2025</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l517">Línia 517:</td>
<td colspan="2" class="diff-lineno">Línia 517:</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>{|</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>{|</div></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>|</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>|</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>:[[Fitxer:<del style="font-weight: bold; text-decoration: none;">ExD5</del>-9-1-neut.<del style="font-weight: bold; text-decoration: none;">png</del>|thumb|center|200px|link=]]</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>:[[Fitxer:<ins style="font-weight: bold; text-decoration: none;">Ex-D5</ins>-9-1-neut.<ins style="font-weight: bold; text-decoration: none;">jpg</ins>|thumb|center|200px|link=]]</div></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>|El sòlid està format per una anella homogènia, de massa 2m, i una partícula <math>\Ps</math> de massa m. Les barres que uneixen aquests elements són de massa negligible.<br></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>|El sòlid està format per una anella homogènia, de massa 2m, i una partícula <math>\Ps</math> de massa m. Les barres que uneixen aquests elements són de massa negligible.<br></div></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;"><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>
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Bros
https://mec.etseib.upc.edu/ca/index.php?title=D5._Geometria_de_masses&diff=7747&oldid=prev
Bros: /* ✏️ Exemple D5.9: rotor esfèric */
2025-05-08T12:20:29Z
<p><span dir="auto"><span class="autocomment">✏️ Exemple D5.9: rotor esfèric</span></span></p>
<table style="background-color: #fff; color: #202122;" data-mw="interface">
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Versió més antiga</td>
<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revisió del 12:20, 8 maig 2025</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l556">Línia 556:</td>
<td colspan="2" class="diff-lineno">Línia 556:</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>\left.\begin{array}{l}</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>\left.\begin{array}{l}</div></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>\delta_1(\Ps)=\delta_2\left(\Ps\right)=\Rs\quad \Rightarrow \quad \mathrm{I}_\mathrm{p}=\ms\Rs^2\\</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>\delta_1(\Ps)=\delta_2\left(\Ps\right)=\Rs\quad \Rightarrow \quad \mathrm{I}_\mathrm{p}=\ms\Rs^2\\</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>\delta_3(\mathrm{dm} \in \mathrm{anella}) \quad \Rightarrow \quad 2\mathrm{I}_\mathrm{a}=2\ms\Rs^2</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>\delta_3(\mathrm{dm} \in \mathrm{anella}) <ins style="font-weight: bold; text-decoration: none;">= \Rs </ins>\quad \Rightarrow \quad 2\mathrm{I}_\mathrm{a}=2\ms\Rs^2</div></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>\end{array}\right\} \quad \Rightarrow \quad \Bigr[\mathrm{II}(\Cs) \Bigr]_\mathrm{B}= \matriz{2}{0}{0}{0}{2}{0}{0}{0}{2} \ms\Rs^2</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>\end{array}\right\} \quad \Rightarrow \quad \Bigr[\mathrm{II}(\Cs) \Bigr]_\mathrm{B}= \matriz{2}{0}{0}{0}{2}{0}{0}{0}{2} \ms\Rs^2</div></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></math><br></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></math><br></div></td></tr>
</table>
Bros
https://mec.etseib.upc.edu/ca/index.php?title=D5._Geometria_de_masses&diff=7698&oldid=prev
Bros: /* ✏️ Exemple D5.8: rotor simètric */
2025-01-15T16:51:19Z
<p><span dir="auto"><span class="autocomment">✏️ Exemple D5.8: rotor simètric</span></span></p>
<table style="background-color: #fff; color: #202122;" data-mw="interface">
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Versió més antiga</td>
<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revisió del 16:51, 15 gen 2025</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l503">Línia 503:</td>
<td colspan="2" class="diff-lineno">Línia 503:</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>:Però hi ha tres eixos coplanaris que generen la mateixa dstribució de massa a banda i banda i per tant es pot assegurar que els moments d’inèrcia respecte d’aquests eixos són iguals.<br></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>:Però hi ha tres eixos coplanaris que generen la mateixa dstribució de massa a banda i banda i per tant es pot assegurar que els moments d’inèrcia respecte d’aquests eixos són iguals.<br></div></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;"><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" 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>:Per la <del style="font-weight: bold; text-decoration: none;"><u></del>propietat 5<del style="font-weight: bold; text-decoration: none;"></u></del>, es tracta d’un rotor simètric. Així doncs, totes les direccions del pla 12 que passen per <math>\Gs</math> són pricipials amb el mateix moment d’inèrcia.</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>:Per la <ins style="font-weight: bold; text-decoration: none;">'''</ins>propietat 5<ins style="font-weight: bold; text-decoration: none;">'''</ins>, es tracta d’un rotor simètric. Així doncs, totes les direccions del pla 12 que passen per <math>\Gs</math> són pricipials amb el mateix moment d’inèrcia.</div></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></small></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></small></div></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;"><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>
</table>
Bros
https://mec.etseib.upc.edu/ca/index.php?title=D5._Geometria_de_masses&diff=7697&oldid=prev
Bros: /* ✏️ Exemple D5.8: rotor simètric */
2025-01-15T16:50:47Z
<p><span dir="auto"><span class="autocomment">✏️ Exemple D5.8: rotor simètric</span></span></p>
<table style="background-color: #fff; color: #202122;" data-mw="interface">
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Versió més antiga</td>
<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revisió del 16:50, 15 gen 2025</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l494">Línia 494:</td>
<td colspan="2" class="diff-lineno">Línia 494:</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>|}</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>|}</div></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>[[Fitxer:ExD5-8-2-neut.png|thumb|right|180px|link=]]</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>[[Fitxer:ExD5-8-2-neut.png|thumb|right|180px|link=]]</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>:simetria respecte del pla 23: per la '''propietat 3''', <math>\Is_{12} = 0</math>.</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>:<ins style="font-weight: bold; text-decoration: none;">* </ins>simetria respecte del pla 23: per la '''propietat 3''', <math>\Is_{12} = 0</math>.</div></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;"><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><center></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><center></div></td></tr>
</table>
Bros
https://mec.etseib.upc.edu/ca/index.php?title=D5._Geometria_de_masses&diff=7696&oldid=prev
Bros: /* ✏️ Exemple D5.8: rotor simètric */
2025-01-15T16:50:30Z
<p><span dir="auto"><span class="autocomment">✏️ Exemple D5.8: rotor simètric</span></span></p>
<table style="background-color: #fff; color: #202122;" data-mw="interface">
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Versió més antiga</td>
<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revisió del 16:50, 15 gen 2025</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l500">Línia 500:</td>
<td colspan="2" class="diff-lineno">Línia 500:</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;"><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>: A banda d’això, no és fàcil avaluar a simple vista quin dels dos moments d’inèrcia <math>\Is_{11}</math>, <math>\Is_{22}</math> és més gran. </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>: A banda d’això, no és fàcil avaluar a simple vista quin dels dos moments d’inèrcia <math>\Is_{11}</math>, <math>\Is_{22}</math> és més gran. </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"></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>:Però hi ha tres eixos coplanaris que generen la mateixa dstribució de massa a banda i banda i per tant es pot assegurar que els moments d’inèrcia respecte d’aquests eixos són iguals.<br></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>:Però hi ha tres eixos coplanaris que generen la mateixa dstribució de massa a banda i banda i per tant es pot assegurar que els moments d’inèrcia respecte d’aquests eixos són iguals.<br></div></td></tr>
</table>
Bros
https://mec.etseib.upc.edu/ca/index.php?title=D5._Geometria_de_masses&diff=7695&oldid=prev
Bros: /* ✏️ Exemple D5.8: rotor simètric */
2025-01-15T16:50:12Z
<p><span dir="auto"><span class="autocomment">✏️ Exemple D5.8: rotor simètric</span></span></p>
<table style="background-color: #fff; color: #202122;" data-mw="interface">
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Versió més antiga</td>
<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revisió del 16:50, 15 gen 2025</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l488">Línia 488:</td>
<td colspan="2" class="diff-lineno">Línia 488:</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>:[[Fitxer:ExD5-8-1-neut.png|thumb|center|180px|link=]]</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>:[[Fitxer:ExD5-8-1-neut.png|thumb|center|180px|link=]]</div></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>|El sòlid està format per tres plaques hexagonals homogènies i idèntiques.<br></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>|El sòlid està format per tres plaques hexagonals homogènies i idèntiques.<br></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>* figura plana continguda en el pla 12: per la <del style="font-weight: bold; text-decoration: none;"><u></del>propietat 1<del style="font-weight: bold; text-decoration: none;"></u></del>, la direcció 3 és DPI, i <math>\mathrm{I}_{33}=\mathrm{I}_{11}+ \mathrm{I}_{22} </math>.<br></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>* figura plana continguda en el pla 12: per la <ins style="font-weight: bold; text-decoration: none;">'''</ins>propietat 1<ins style="font-weight: bold; text-decoration: none;">'''</ins>, la direcció 3 és DPI, i <math>\mathrm{I}_{33}=\mathrm{I}_{11}+ \mathrm{I}_{22} </math>.<br></div></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;"><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><math>\Bigr[\mathrm{II}(\Gs) \Bigr]_\mathrm{B}= \matriz{\mathrm{I}_{11}}{\mathrm{I}_{12}}{0}{\mathrm{I}_{12}}{\mathrm{I}_{22}}{0}{0}{0}{\mathrm{I}_{11}+\mathrm{I}_{22}}</math><br></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><math>\Bigr[\mathrm{II}(\Gs) \Bigr]_\mathrm{B}= \matriz{\mathrm{I}_{11}}{\mathrm{I}_{12}}{0}{\mathrm{I}_{12}}{\mathrm{I}_{22}}{0}{0}{0}{\mathrm{I}_{11}+\mathrm{I}_{22}}</math><br></div></td></tr>
<tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l494">Línia 494:</td>
<td colspan="2" class="diff-lineno">Línia 494:</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>|}</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>|}</div></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>[[Fitxer:ExD5-8-2-neut.png|thumb|right|180px|link=]]</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>[[Fitxer:ExD5-8-2-neut.png|thumb|right|180px|link=]]</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>:simetria respecte del pla 23: per la propietat 3, <math>\Is_{12} = 0</math>.</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>:simetria respecte del pla 23: per la <ins style="font-weight: bold; text-decoration: none;">'''</ins>propietat 3<ins style="font-weight: bold; text-decoration: none;">'''</ins>, <math>\Is_{12} = 0</math>.</div></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;"><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>
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Bros
https://mec.etseib.upc.edu/ca/index.php?title=D5._Geometria_de_masses&diff=7694&oldid=prev
Bros: /* ✏️ Exemple D5.8: rotor simètric */
2025-01-15T16:49:00Z
<p><span dir="auto"><span class="autocomment">✏️ Exemple D5.8: rotor simètric</span></span></p>
<table style="background-color: #fff; color: #202122;" data-mw="interface">
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revisió del 16:49, 15 gen 2025</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l494">Línia 494:</td>
<td colspan="2" class="diff-lineno">Línia 494:</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>|}</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>|}</div></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>[[Fitxer:ExD5-8-2-neut.png|thumb|right|180px|link=]]</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>[[Fitxer:ExD5-8-2-neut.png|thumb|right|180px|link=]]</div></td></tr>
<tr><td colspan="2" class="diff-side-deleted"></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><ins style="font-weight: bold; text-decoration: none;">:simetria respecte del pla 23: per la propietat 3, <math>\Is_{12} = 0</math>.</ins></div></td></tr>
<tr><td colspan="2" class="diff-side-deleted"></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><ins style="font-weight: bold; text-decoration: none;"></ins></div></td></tr>
<tr><td colspan="2" class="diff-side-deleted"></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><ins style="font-weight: bold; text-decoration: none;"><center></ins></div></td></tr>
<tr><td colspan="2" class="diff-side-deleted"></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><ins style="font-weight: bold; text-decoration: none;"><math>\Bigr[\mathrm{II}(\Gs) \Bigr]_\mathrm{B}= \matriz{\mathrm{I}_{11}}{0}{0}{0}{\mathrm{I}_{22}}{0}{0}{0}{\mathrm{I}_{11}+\mathrm{I}_{22}}</math></center></ins></div></td></tr>
<tr><td colspan="2" class="diff-side-deleted"></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><ins style="font-weight: bold; text-decoration: none;"></ins></div></td></tr>
<tr><td colspan="2" class="diff-side-deleted"></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><ins style="font-weight: bold; text-decoration: none;">: A banda d’això, no és fàcil avaluar a simple vista quin dels dos moments d’inèrcia <math>\Is_{11}</math>, <math>\Is_{22}</math> és més gran. </ins></div></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;"><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;"><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>
</table>
Bros
https://mec.etseib.upc.edu/ca/index.php?title=D5._Geometria_de_masses&diff=7693&oldid=prev
Bros: /* ✏️ Exemple D5.8: rotor simètric */
2025-01-15T16:46:53Z
<p><span dir="auto"><span class="autocomment">✏️ Exemple D5.8: rotor simètric</span></span></p>
<table style="background-color: #fff; color: #202122;" data-mw="interface">
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Versió més antiga</td>
<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revisió del 16:46, 15 gen 2025</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l494">Línia 494:</td>
<td colspan="2" class="diff-lineno">Línia 494:</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>|}</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>|}</div></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>[[Fitxer:ExD5-8-2-neut.png|thumb|right|180px|link=]]</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>[[Fitxer:ExD5-8-2-neut.png|thumb|right|180px|link=]]</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;">El sòlid no presenta cap pla de simetria, per tant no és fàcil veure si el productie d’inèrcia <math>\Is_{12}</math> és zero o diferent de zero. Tampoc és fàcil avaluar a simple vista quin dels dos moments d’inèrcia <math>\Is_{11},\Is_{22}</math> és més gran. </del>Però hi ha tres eixos coplanaris que generen la mateixa dstribució de massa a banda i banda i per tant es pot assegurar que els moments d’inèrcia respecte d’aquests eixos són iguals.<br></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> </div></td></tr>
<tr><td colspan="2" class="diff-side-deleted"></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> </div></td></tr>
<tr><td colspan="2" class="diff-side-deleted"></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>:Però hi ha tres eixos coplanaris que generen la mateixa dstribució de massa a banda i banda i per tant es pot assegurar que els moments d’inèrcia respecte d’aquests eixos són iguals.<br></div></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;"><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>:Per la <u>propietat 5</u>, es tracta d’un rotor simètric. Així doncs, totes les direccions del pla 12 que passen per <math>\Gs</math> són pricipials amb el mateix moment d’inèrcia.</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>:Per la <u>propietat 5</u>, es tracta d’un rotor simètric. Així doncs, totes les direccions del pla 12 que passen per <math>\Gs</math> són pricipials amb el mateix moment d’inèrcia.</div></td></tr>
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https://mec.etseib.upc.edu/ca/index.php?title=D5._Geometria_de_masses&diff=7551&oldid=prev
Bros: /* D5.5 Teorema de Steiner */
2024-12-03T00:14:51Z
<p><span dir="auto"><span class="autocomment">D5.5 Teorema de Steiner</span></span></p>
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Versió més antiga</td>
<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revisió del 00:14, 3 des 2024</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l568">Línia 568:</td>
<td colspan="2" class="diff-lineno">Línia 568:</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>on <math>\Is\Is^\oplus(\Qs)</math> és el tensor d’una partícula de massa igual a la del sòlid i situada al centre de masses <math>\Gs</math>.<br></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>on <math>\Is\Is^\oplus(\Qs)</math> és el tensor d’una partícula de massa igual a la del sòlid i situada al centre de masses <math>\Gs</math>.<br></div></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;"><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" 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>Si s’aplica el teorema a dos <del style="font-weight: bold; text-decoration: none;">unts </del>diferents i es combinen les equacions, s’arriba a la relació entre <math>\Is\Is(\Ps)</math> i <math>\Is\Is(\Qs)</math> :<br></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>Si s’aplica el teorema a dos <ins style="font-weight: bold; text-decoration: none;">punts </ins>diferents i es combinen les equacions, s’arriba a la relació entre <math>\Is\Is(\Ps)</math> i <math>\Is\Is(\Qs)</math> :<br></div></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;"><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;"><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 colspan="2" class="diff-lineno" id="mw-diff-left-l575">Línia 575:</td>
<td colspan="2" class="diff-lineno">Línia 575:</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>\Is\Is(\Qs)=\Is\Is(\Gs) + \Is\Is^\oplus(\Qs)\\</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>\Is\Is(\Qs)=\Is\Is(\Gs) + \Is\Is^\oplus(\Qs)\\</div></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>\Is\Is(\Ps)=\Is\Is(\Gs) + \Is\Is^\oplus(\Ps)</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>\Is\Is(\Ps)=\Is\Is(\Gs) + \Is\Is^\oplus(\Ps)</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>\end{array}\right\} \quad \Rightarrow \quad \Is\Is(\Qs)=\Is\Is(\Ps) - \Is\Is^\oplus(\Ps) <del style="font-weight: bold; text-decoration: none;">- </del>\Is\Is^\oplus(\Qs)</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>\end{array}\right\} \quad \Rightarrow \quad \Is\Is(\Qs)=\Is\Is(\Ps) - \Is\Is^\oplus(\Ps) <ins style="font-weight: bold; text-decoration: none;">+ </ins>\Is\Is^\oplus(\Qs)</div></td></tr>
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