Addition von Kräften (Vektoraddition): Unterschied zwischen den Versionen

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(Animation: Vektoraddition von drei Kräften)
 
(7 dazwischenliegende Versionen des gleichen Benutzers werden nicht angezeigt)
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([[Inhalt_Klasse_10|'''Klassische Mechanik''']] > [[Inhalt_Klasse_10#Kräfte_und_Gravitation|'''Kräfte und Gravitation''']])
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<gallery widths=300px heights=200px  perrow=2 >  
 
<gallery widths=300px heights=200px  perrow=2 >  
  Bild:Tauziehen.jpg|Tauziehen
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  Bild:Tauziehen.jpg|Tauziehen Schafft es eine Person, das Seil in der Mitte bis zum Boden zu drücken? ([http://www.leifiphysik.de/themenbereiche/krafteaddition-und-zerlegung/tauziehen Leifi])
 
  Bild:Mechanik_Kräfte_Gleichgewicht_W_Busch_Hühner_2.jpg‎|
 
  Bild:Mechanik_Kräfte_Gleichgewicht_W_Busch_Hühner_2.jpg‎|
  Bild:Kräfteaddition_zwei_Schlepper.jpg|Zwei Schlepper ziehen einen Tanker ([http://www.geogebratube.org/student/m13566 Arbeitsblatt])
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  Bild:Kräfteaddition_zwei_Schlepper.jpg|Zwei Schlepper ziehen einen Tanker ([https://www.geogebra.org/m/N7BKbV37 Arbeitsblatt])
 
  Bild:Bogenschiessen_beim_Naadam_Festival_2006-06.JPG|Ein mongolischer Bogenschütze  
 
  Bild:Bogenschiessen_beim_Naadam_Festival_2006-06.JPG|Ein mongolischer Bogenschütze  
  
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An den blauen Punkten der Pfeilspitzen kann man die Stärke und Richtung der Kräfte verändern.
 
An den blauen Punkten der Pfeilspitzen kann man die Stärke und Richtung der Kräfte verändern.
  
Zur Veranschaulichung der Addition kann man die Pfeile auch verschieben.
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+
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 +
}}
  
 
==Links==
 
==Links==
Zeile 25: Zeile 28:
 
*[http://www.geogebratube.org/student/m3719 Animation "Kräftegleichgewicht"] (Geogebra-Arbeitsblatt von Lindner)
 
*[http://www.geogebratube.org/student/m3719 Animation "Kräftegleichgewicht"] (Geogebra-Arbeitsblatt von Lindner)
 
*[http://www.geogebratube.org/student/m24388 Animation "Hängelampe"] (Geogebra-Arbeitsblatt von Nico Leutwiler)
 
*[http://www.geogebratube.org/student/m24388 Animation "Hängelampe"] (Geogebra-Arbeitsblatt von Nico Leutwiler)
 +
*Video eines frei schwebendes [http://www.youtube.com/watch?v=SqImIChxJ-E "Spinnennetzzeltes"] von Alex Shirley-Smith.

Aktuelle Version vom 10. März 2019, 23:42 Uhr

(Klassische Mechanik > Kräfte und Gravitation)


  • Kräftegleichgewicht

Animation: Vektoraddition von drei Kräften

Alle drei Kräfte wirken auf einen Ball.

An den blauen Punkten der Pfeilspitzen kann man die Stärke und Richtung der Kräfte verändern.

Links