Name: resultant force from tugboats
Uploaded: 2023-09-22T11:49:19.000Z
Duration: 1 min 23 s
Channel: JoVE

Die Vektoraddition von zwei oder mehr Kraftvektoren kann unter Verwendung des Parallelogrammgesetzes erfolgen, um die resultierende Kraft zu erhalten.
Stellen Sie sich ein Schiff vor, das von zwei kleinen Schleppern gezogen wird. Die beiden Kräfte, F1 und F2, agieren gleichzeitig auf dem Schiff.
Um die Nettokraft mit dem Parallelogrammgesetz zu ermitteln, zeichnen Sie parallele Linien zu beiden Kraftvektoren, so dass ein Parallelogramm entsteht.
Die Diagonale des Parallelogramms stellt nun die Nettokraft FN dar, die durch die beiden Schlepper auf das Schiff ausgeübt wird. Sie wird als Vektorsumme der Kräfte F1 und F2 ausgedrückt.
Nehmen wir nun an, dass eine dritte Kraft von einem anderen Schlepper auf das Schiff einwirkt.
Ein weiteres Parallelogramm wird gebildet, wobei FN und die dritte Kraft F3 verwendet werden. Die Diagonale dieses neuen Parallelogramms gibt die resultierende Kraft auf das Schiff an, die durch alle drei Schlepper entsteht.
Hier wird die resultierende Kraft auf das Schiff als Vektorsumme aller drei Kräfte ausgedrückt.

<ol>
	<li>Hibbeler, R.C. (2016). Technische Mechanik \u2012 Statik und Dynamik. Hoboken, New Jersey: Pearson Prentice Hall. Seiten 18-22</li>
	<li>Bier, F.P.; Johnston, E.R.; Mazurek, D.F.; Cromwell, P.J. und Self, B.P. (2019). Vektormechanik für Ingenieure \u2012 Statik und Dynamik. New York: McGraw-Hill. Seite 29</li>
</ol>

vektoraddition von kräften

Um die Effekte mehrerer auf ein Objekt wirkender Kräfte zu verstehen, ist die Vektoraddition ein entscheidendes Konzept. Dieses mathematische Konzept kann verwendet werden, um die resultierende Kraft auf ein Objekt zu berechnen, wenn zwei oder mehr Kräfte beteiligt sind. 

Um das Konzept der Vektoraddition zu verstehen, betrachten Sie das Szenario eines Schiffs, das von zwei kleinen Schleppbooten gezogen wird. Die beiden Kräfte, F1 und F2, wirken gleichzeitig in unterschiedlichen Richtungen auf das Schiff. Das Parallelogramm-Gesetz kann verwendet werden, um die resultierende Kraft, die auf das Schiff wirkt, zu berechnen. 

Das Parallelogramm-Gesetz ist hilfreich bei der Vektoraddition, da es eine geometrische Methode zum Addieren von zwei Vektoren bietet. Es besagt, dass, wenn die angrenzenden Seiten eines Parallelogramms zwei Vektoren darstellen, die durch ihre Schnittstelle verlaufende Diagonale die Vektorsumme der beiden Vektoren repräsentiert. Um dieses Gesetz im Kontext des vom zwei Schleppbooten gezogenen Schiffs anzuwenden, werden parallele Linien zu beiden Kraftvektoren gezeichnet, um ein Parallelogramm zu bilden. Dann wird eine diagonale Linie durch den Schnittpunkt der beiden Vektoren gezogen. Diese Diagonale repräsentiert die resultierende oder netto wirkende Kraft auf das Schiff aufgrund der zwei Schleppboote. Diese resultierende Kraft wird als die Vektorsumme der beiden Kräfte ausgedrückt. 

Wenn jedoch eine dritte Kraft F3 eingeführt wird, wird ein weiteres Parallelogramm gezeichnet. Dieses Mal wird die vorherige resultierende Kraft F1 + F2 als eine Seite des neuen Parallelogramms verwendet, mit der dritten Kraft F3 als der anderen Seite. Wiederum repräsentiert die Diagonale dieses Parallelogramms die resultierende oder netto wirkende Kraft auf das Schiff aufgrund aller drei Schleppboote. Diese netto wirkende Kraft auf das Schiff wird als die Vektorsumme aller drei Kräfte ausgedrückt, nämlich F1 + F2 + F3. 

Die Vektoraddition ist ein mächtiges Werkzeug, um die Effekte mehrerer auf ein Objekt wirkender Kräfte zu verstehen. Sie ist entscheidend für verschiedene Bereiche, einschließlich Physik, Ingenieurwesen und Mathematik. Durch das Verständnis des Parallelogramm-Gesetzes und des Konzepts der Vektoraddition kann eine genaue Berechnung und Vorhersage der resultierenden Kraft auf ein Objekt gemacht werden.

Vektoraddition von Kräften

Wenn es darum geht, die Auswirkungen mehrerer Kräfte, die auf ein Objekt wirken, zu verstehen, ist die Vektoraddition ein entscheidendes Konzept, das es zu verstehen gilt. Dieses mathematische Konzept kann ...

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Vector Addition of Forces

resultant force from tugboats

Resultant force can be found with vector addition when two or more forces act on the same object. This idea helps explain how multiple pulls combine to create one net force. It is a key tool for understanding motion in physics.

A clear example is a ship pulled by two small tugboats. The forces, F1 and F2, act at the same time but in different directions. The net force on the ship is the vector sum of those two forces.

The parallelogram law gives a geometric way to add vectors. In this method, the two force vectors form adjacent sides of a parallelogram. The diagonal through their intersection shows the resultant, or net force.

To use the law for the tugboat example, parallel lines are drawn to both force vectors to complete the parallelogram. Then a diagonal is drawn across the shape. That diagonal represents the net force acting on the ship from the two tugboats.

A third force, F3, can be added in the same way. A new parallelogram is drawn using the previous resultant, F1 + F2, as one side and F3 as the other. The diagonal of this second parallelogram gives the total resultant force, written as F1 + F2 + F3.

Vector addition is useful in physics, engineering, and mathematics. It helps scientists and engineers calculate and predict the net force on an object. The parallelogram law makes that prediction easier to picture and measure.

Resultant Force from Tugboats

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key terms and concepts

Learn how vector addition uses the parallelogram law to find the resultant force on a ship pulled by two or three tugboats in physics.

Resultant Force from Tugboats | JoVE K12

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Resultant Force from Tugboats

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