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

A adição vetorial de dois ou mais vetores de força pode ser feita usando a lei do paralelogramo para obter a força resultante.
Considere um navio sendo puxado por dois pequenos rebocadores. As duas forças, F1 e F2, atuam no navio simultaneamente.
Para encontrar a força resultante usando a lei do paralelogramo, desenhe linhas paralelas a ambos os vetores de força, de modo que um paralelogramo seja formado.
Agora, a diagonal do paralelogramo representa a força resultante FN no navio devido aos dois rebocadores. É expresso como a soma vetorial das forças F1 e F2 .
Suponha agora que uma terceira força de outro rebocador atue no navio.
Outro paralelogramo é formado, usando FN e a terceira força F3. A diagonal deste novo paralelogramo dá a força resultante no navio devido a todos os três rebocadores.
Aqui, a força resultante no navio é expressa como a soma vetorial de todas as três forças.

<ol>
	<li>Hibbeler, R.C. (2016). Engenharia Mecânica \u2012 Estática e Dinâmica. Hoboken, Nova Jersey: Pearson Prentice Hall. pág. 18-22</li>
	<li>Cerveja, F.P.; Johnston, E.R.; Mazurek, D.F; Cromwell, PJ e Self, BP (2019). Mecânica vetorial para engenheiros \u2012 estática e dinâmica. Nova Iorque: McGraw-Hill. pág. 29</li>
</ol>

adição vetorial de forças

Ao compreender os efeitos de múltiplas forças atuando em um objeto, a adição vetorial é um conceito crucial a ser compreendido. Esse conceito matemático pode ser utilizado para calcular a força líquida atuando em um objeto quando duas ou mais forças estão envolvidas.

Para entender o conceito de adição vetorial, considere o cenário de um navio puxado por dois pequenos rebocadores. As duas forças, F1 e F2, atuam simultaneamente no navio em direções diferentes. A lei do paralelogramo pode ser utilizada para calcular a força líquida atuando no navio.

A lei do paralelogramo é útil na adição vetorial, pois fornece um método geométrico para somar dois vetores juntos. Ela estabelece que, quando os lados adjacentes de um paralelogramo representam dois vetores, a diagonal que passa pela interseção representa a soma vetorial dos dois vetores. Para aplicar essa lei no contexto do navio sendo puxado por dois rebocadores, são desenhadas linhas paralelas às duas forças para formar um paralelogramo. Em seguida, uma linha diagonal através da interseção dos dois vetores é desenhada. Essa diagonal representa a força resultante ou força líquida atuando no navio devido aos dois rebocadores. Essa força líquida é expressa como a soma vetorial das duas forças.

No entanto, se uma terceira força F3 for introduzida, outro paralelogramo é desenhado. Dessa vez, a força resultante anterior F1 + F2 é usada como um dos lados do novo paralelogramo, com a terceira força F3 como o outro lado. Mais uma vez, a diagonal desse paralelogramo representa a força resultante ou força líquida atuando no navio devido aos três rebocadores. Essa força líquida no navio é expressa como a soma vetorial das três forças, ou seja, F1 + F2 + F3.

A adição vetorial é uma ferramenta poderosa para compreender os efeitos de múltiplas forças atuando em um objeto. É crucial para diversas áreas, incluindo física, engenharia e matemática. Ao compreender a lei do paralelogramo e o conceito de adição vetorial, é possível realizar cálculos precisos e prever a força líquida atuando em um objeto.

Adição vetorial de forças

Ao entender os efeitos de múltiplas forças agindo sobre um objeto, a adição de vetores é um conceito crucial a ser compreendido. Este conceito matemático pode ser ...

Education

JoVE Core

Mechanical Engineering

Engenharia Mecânica

Unit 1

Unidade 1

Force Vectors

Vetores de Força

KEY TERMS AND CONCEPTS

TERMOS-CHAVE E CONCEITOS

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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vector addition of forces

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,...

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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

O JoVE Core Mechanical Engineering oferece vídeos animados concisos e de fácil compreensão que abrangem tópicos-chave como equilíbrio, forças, análise de treliças e mecânica estrutural. Explore suas aplicações no mundo real e observe esses conceitos em ação por meio de experimentos conduzidos por cientistas.

mechanical engineering

Resultant Force from Tugboats

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