https://wikiskola.se/index.php?action=history&feed=atom&title=Integralens_v%C3%A4rde_och_till%C3%A4mpningar 2026-05-21T18:21:58Z Versionshistorik för denna sida på wikin MediaWiki 1.41.1 https://wikiskola.se/index.php?title=Integralens_v%C3%A4rde_och_till%C3%A4mpningar&diff=38102&oldid=prev 2016-11-22T21:27:56Z

<p><span dir="auto"><span class="autocomment">Harmonisk svängning</span></span></p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="sv"> <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 22 november 2016 kl. 21.27</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l28">Rad 28:</td> <td colspan="2" class="diff-lineno">Rad 28:</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>=== Harmonisk svängning ===</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>=== Harmonisk svängning ===</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>[http://wikiskola.se/index.php?title=Tracker/Tyngd_sv%C3%A4nger_i_en_fj%C3%A4der#Resultat Tyngd som svänger i en fjäder] analyserat med [[<del style="font-weight: bold; text-decoration: none;">Tracker </del>| <del style="font-weight: bold; text-decoration: none;">Använda </del>Tracker]]</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>[http://wikiskola.se/index.php?title=Tracker/Tyngd_sv%C3%A4nger_i_en_fj%C3%A4der#Resultat Tyngd som svänger i en fjäder] analyserat med [[<ins style="font-weight: bold; text-decoration: none;">Använda_Tracker</ins>|Tracker]]</div></td></tr> </table>

Hakan https://wikiskola.se/index.php?title=Integralens_v%C3%A4rde_och_till%C3%A4mpningar&diff=38101&oldid=prev 2016-11-22T16:29:08Z

<p><span dir="auto"><span class="autocomment">Harmonisk svängning</span></span></p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="sv"> <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 22 november 2016 kl. 16.29</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l28">Rad 28:</td> <td colspan="2" class="diff-lineno">Rad 28:</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>=== Harmonisk svängning ===</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>=== Harmonisk svängning ===</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>[http://wikiskola.se/index.php?title=Tracker/Tyngd_sv%C3%A4nger_i_en_fj%C3%A4der#Resultat Tyngd som svänger i en fjäder] analyserat med [[Tracker <del style="font-weight: bold; text-decoration: none;">/ </del>Använda Tracker]]</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>[http://wikiskola.se/index.php?title=Tracker/Tyngd_sv%C3%A4nger_i_en_fj%C3%A4der#Resultat Tyngd som svänger i en fjäder] analyserat med [[Tracker <ins style="font-weight: bold; text-decoration: none;">| </ins>Använda Tracker]]</div></td></tr> </table>

Hakan https://wikiskola.se/index.php?title=Integralens_v%C3%A4rde_och_till%C3%A4mpningar&diff=38100&oldid=prev 2016-11-22T16:28:51Z

<p><span dir="auto"><span class="autocomment">Harmonisk svängning</span></span></p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="sv"> <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 22 november 2016 kl. 16.28</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l28">Rad 28:</td> <td colspan="2" class="diff-lineno">Rad 28:</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>=== Harmonisk svängning ===</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>=== Harmonisk svängning ===</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>[http://wikiskola.se/index.php?title=Tracker/Tyngd_sv%C3%A4nger_i_en_fj%C3%A4der#Resultat Tyngd som svänger i en fjäder] analyserat med [[Tracker]]</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>[http://wikiskola.se/index.php?title=Tracker/Tyngd_sv%C3%A4nger_i_en_fj%C3%A4der#Resultat Tyngd som svänger i en fjäder] analyserat med [[<ins style="font-weight: bold; text-decoration: none;">Tracker / Använda </ins>Tracker]]</div></td></tr> </table>

Hakan https://wikiskola.se/index.php?title=Integralens_v%C3%A4rde_och_till%C3%A4mpningar&diff=38099&oldid=prev 2016-11-22T16:19:53Z

<p><span dir="auto"><span class="autocomment">Fysik och integraler - Hemuppgift</span></span></p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="sv"> <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 22 november 2016 kl. 16.19</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l25">Rad 25:</td> <td colspan="2" class="diff-lineno">Rad 25:</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>&lt;iframe scrolling=&quot;no&quot; src=&quot;https://www.geogebra.org/material/iframe/id/rMaKPa4w/width/866/height/482/border/888888/sri/true/sdz/true&quot; width=&quot;866px&quot; height=&quot;482px&quot; style=&quot;border:0px;&quot;&gt; &lt;/iframe&gt;</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>&lt;iframe scrolling=&quot;no&quot; src=&quot;https://www.geogebra.org/material/iframe/id/rMaKPa4w/width/866/height/482/border/888888/sri/true/sdz/true&quot; width=&quot;866px&quot; height=&quot;482px&quot; style=&quot;border:0px;&quot;&gt; &lt;/iframe&gt;</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>&lt;/html&gt;</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>&lt;/html&gt;</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;">=== Harmonisk svängning ===</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;">[http://wikiskola.se/index.php?title=Tracker/Tyngd_sv%C3%A4nger_i_en_fj%C3%A4der#Resultat Tyngd som svänger i en fjäder] analyserat med [[Tracker]]</ins></div></td></tr> </table>

Hakan https://wikiskola.se/index.php?title=Integralens_v%C3%A4rde_och_till%C3%A4mpningar&diff=38050&oldid=prev 2016-11-15T15:19:10Z

<p>Skapade sidan med &#039;=== Fritt fall === Titta gärna på wikipediatexten om <a href="/index.php/Differentialekvationer_Ma4#Fritt_fall" title="Differentialekvationer Ma4">fritt fall</a> som ligger på förra avsnittet om diffekvationer. {{Lm4|Tillämp...&#039;</p> <p><b>Ny sida</b></p><div>=== Fritt fall ===<br /> <br /> Titta gärna på wikipediatexten om [[Differentialekvationer_Ma4#Fritt_fall|fritt fall]] som ligger på förra avsnittet om diffekvationer.<br /> <br /> {{Lm4|Tillämpningar|159-163}}<br /> <br /> === Fysik och integraler - Hemuppgift ===<br /> <br /> {{uppgruta | &#039;&#039;&#039;Fysik och integraler&#039;&#039;&#039;<br /> Lös någon eller några av uppgifterna hemma. Välj sedan en som du gör en snygg skriftlig redovisning av.<br /> <br /> Du ska vara beredd att gå fram och redovisa uppgiftens lösning på tavlan.<br /> <br /> Uppgifterna med sträcka hastighet är nog enklast. Du får sträckan genom att integrera hastighetsfunktionen.<br /> <br /> [[media: Problemlösning_fysik_och_integraler.pdf | Problemlösning Fysik och Integraler]]<br /> <br /> &#039;&#039;&#039;Redovisning&#039;&#039;&#039;: På tavlan.<br /> <br /> }}<br /> <br /> Geogebrakonstruktionen enda visar förhoppningsvis att integralen av accelerationen är hastighetsförändringen. Cosinusfunktion beskriver en bollsom hänger i en fjäder och gungar upp och ner i en pendlande rörelse, så kallad harmonisk svängning.<br /> <br /> &lt;html&gt;<br /> &lt;iframe scrolling=&quot;no&quot; src=&quot;https://www.geogebra.org/material/iframe/id/rMaKPa4w/width/866/height/482/border/888888/sri/true/sdz/true&quot; width=&quot;866px&quot; height=&quot;482px&quot; style=&quot;border:0px;&quot;&gt; &lt;/iframe&gt;<br /> &lt;/html&gt;</div>

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