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

L'addizione vettoriale di due o più vettori di forza può essere eseguita utilizzando la legge del parallelogramma per ottenere la forza risultante.
Considera una nave trainata da due piccoli rimorchiatori. Le due forze, F1 e F2, agiscono contemporaneamente sulla nave.
Per trovare la forza netta usando la legge del parallelogramma, traccia linee parallele a entrambi i vettori di forza in modo tale che si formi un parallelogramma.
Ora, la diagonale del parallelogramma rappresenta la forza netta FN sulla nave dovuta ai due rimorchiatori. È espresso come la somma vettoriale delle forze F1 e F2 .
Supponiamo ora che una terza forza proveniente da un altro rimorchiatore agisca sulla nave.
Si forma un altro parallelogramma, utilizzando FN e la terza forza F3. La diagonale di questo nuovo parallelogramma fornisce la forza risultante sulla nave dovuta a tutti e tre i rimorchiatori.
Qui la forza risultante sulla nave è espressa come la somma vettoriale di tutte e tre le forze.

<ol>
	<li>Hibbeler, R.C. (2016). Ingegneria Meccanica \u2012 Statica e Dinamica. Hoboken, New Jersey: Pearson Prentice Hall. pagine 18-22</li>
	<li>Birra, F.P.; Johnston, E.R.; Mazurek, D.F; Cromwell, P.J. e Self, B.P. (2019). Meccanica vettoriale per ingegneri \u2012 Statica e dinamica. New York: McGraw-Hill. pagine 29</li>
</ol>

somma vettoriale delle forze

Quando si vogliono comprendere gli effetti di varie forze che agiscono su un oggetto, è fondamentale padroneggiare il concetto di somma vettoriale. Questo concetto matematico può essere utilizzato per calcolare la forza netta che agisce su un oggetto quando sono coinvolte due o più forze.

Per capire il concetto di somma vettoriale, consideriamo il caso di una nave che viene trainata da due piccoli rimorchiatori. Le due forze, F1 e F2, agiscono contemporaneamente sulla nave in direzioni diverse. Per calcolare la forza effettiva che agisce sulla nave può essere utilizzata la regola del parallelogramma.

La regola del parallelogramma è utile nella somma vettoriale perché fornisce un metodo geometrico per sommare due vettori. Secondo questa regola, quando i lati adiacenti di un parallelogramma rappresentano due vettori, la diagonale che passa attraverso la loro intersezione rappresenta la somma vettoriale dei due vettori. Per applicare questa regola nel contesto della nave che viene trainata da due rimorchiatori, si tracciano linee parallele a entrambi i vettori delle forza in modo da disegnare un parallelogramma. Quindi, si traccia la diagonale passante per l'intersezione dei due vettori. La diagonale rappresenta la forza risultante o effettiva che agisce sulla nave a causa dei due rimorchiatori. Questa forza viene espressa come somma vettoriale delle due forze.

Tuttavia, se viene introdotta una terza forza F3, occorre disegnare un altro parallelogramma. Questa volta, la forza risultante precedente F1 e F2 rappresenta un lato del nuovo parallelogramma, mentre la terza forza F3 rappresenta l'altro lato. Ancora una volta, la diagonale del parallelogramma rappresenta la forza risultante o effettiva che agisce sulla nave a causa di tutti e tre i rimorchiatori. Questa forza effettiva sulla nave viene espressa come somma vettoriale di tutte e tre le forze, ovvero F1 + F2 + F3.

La somma vettoriale è uno strumento potente per comprendere gli effetti di molteplici forze che agiscono su un oggetto. È fondamentale in vari campi, tra cui la fisica, l'ingegneria e la matematica. Comprendendo la regola del parallelogramma e il concetto di somma vettoriale, è possibile effettuare calcoli e previsioni accurate sulla forza effettiva che agisce su un oggetto.

Somma vettoriale delle forze

Quando si comprendono gli effetti di più forze che agiscono su un oggetto, l'addizione vettoriale è un concetto cruciale da comprendere. Questo concetto matematico può essere ...

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JoVE Core

Mechanical Engineering

Ingegneria Meccanica

Unit 1

Unità 1

Force Vectors

Vettori di forza

KEY TERMS AND CONCEPTS

TERMINI E CONCETTI CHIAVE

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

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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