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

Dodawanie wektorów dwóch lub więcej wektorów siły można wykonać za pomocą prawa równoległoboku, aby uzyskać siłę wynikową.
Wyobraźmy sobie statek ciągnięty przez dwa małe holowniki. Dwie siły, F1 i F2, działają na statek równocześnie.
Aby znaleźć siłę wypadkową za pomocą prawa równoległoboku, narysuj równoległe linie do obu wektorów siły, tak aby powstał równoległobok.
Teraz przekątna równoległoboku reprezentuje siłę wypadkową FN działającą na statek na dwa holowniki. Jest ona wyrażona jako suma wektorów sił F1 i F2 .
Przypuśćmy teraz, że trzecia siła z innego holownika działa na statek.
Powstaje kolejny równoległobok przy użyciu FN i trzeciej siły F3. Przekątna tego nowego równoległoboku podaje wypadkową siłę działającą na statek przez wszystkie trzy holowniki.
Tutaj wypadkowa siła działająca na statek jest wyrażona jako suma wektorów wszystkich trzech sił.

<ol>
	<li>Hibbeler, R.C. (2016). Mechanika inżynierska \u2012 Statyka i dynamika. Hoboken, New Jersey: Pearson Prentice Hall. Strony 18-22</li>
	<li>Piwo, F.P.; Johnston, E.R.; Mazurek, D.F.; Cromwell, PJ i Self, BP (2019). Mechanika wektorowa dla inżynierów \u2012 Statyka i dynamika. Nowy Jork: McGraw-Hill. Strona 29</li>
</ol>

dodawanie wektorów sił

Gdy chcemy zrozumieć efekty działania wielu sił na obiekt, dodawanie wektorów staje się kluczowym działaniem do opanowania. Ten matematyczny koncept może być używany do obliczenia siły netto działającej na obiekt, gdy zaangażowane są dwie lub więcej sił.

Aby zrozumieć koncept dodawania wektorów, rozważmy scenariusz statku, który jest holowany przez dwia małe holowniki. Dwie siły, F1 i F2, działają jednocześnie na statek w różnych kierunkach. Metoda równoległoboku może być użyta do obliczenia siły netto działającej na statek.

Metoda równoległoboku jest pomocna przy dodawaniu wektorów, ponieważ pozwala dodawać dwa wektory. Przyległe boki równoległoboku reprezentują dwa wektory, przekątna przechodząca przez ich przecięcie reprezentuje sumę wektorową tych dwóch wektorów.

Aby zastosować tą metodę w kontekście holowania statku przez dwa holowniki, równoległe linie do obu sił wektorowych są rysowane, aby utworzyć równoległobok. Następnie, rysowana jest przekątna przechodząca przez przecięcie obu wektorów. Ta przekątna reprezentuje wynikową lub siłę netto działającą na statek z powodu obecności dwóch holowników. Siła netto jest wyrażona jako suma wektorowa tych dwóch sił.

Jeśli jednak wprowadzona zostaje trzecia siła F3, rysowany jest kolejny równoległobok. Tym razem, poprzednia siła wynikowa F1 + F2 jest używana jako jeden bok nowego równoległoboku, a trzecia siła F3 jako drugi bok. Ponownie, przekątna tego równoległoboku reprezentuje wynikową lub siłę netto działającą na statek z powodu obecności wszystkich trzech holowników. Siła netto tego statku jest wyrażona jako suma wektorowa wszystkich trzech sił, a mianowicie F1 + F2 + F3.

Dodawanie wektorów to świetne narzędzie do zrozumienia efektów działania wielu sił na obiekt. Jest ono niezwykle istotne w różnych dziedzinach, w tym w fizyce, inżynierii i matematyce. Poprzez zrozumienie prawa równoległoboku i konceptu dodawania wektorów można dokładnie obliczać i przewidywać siłę netto działającą na obiekt.

Dodawanie wektorów sił

Rozumiejąc wpływ wielu sił działających na obiekt, dodawanie wektorów jest kluczowym pojęciem do uchwycenia. Ta matematyczna koncepcja może być ...

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Mechanical Engineering

Inżynieria mechaniczna

Unit 1

Jednostka 1

Force Vectors

Wektory siły

KEY TERMS AND CONCEPTS

Kluczowe terminy i pojęcia

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

JoVE Core Mechanical Engineering offers concise, easy-to-understand animated videos covering key topics such as equilibrium, forces, truss analysis, and structural mechanics. Explore their real-world applications, and witness these concepts in action through scientist-led experiments.

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Resultant Force from Tugboats

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