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

İki veya daha fazla kuvvet vektörünün vektör eklenmesi, bileşke kuvveti elde etmek için paralelkenar yasası kullanılarak yapılabilir.
İki küçük römorkör tarafından çekilen bir gemi düşünün. İki kuvvet, F1 ve F2, gemiye aynı anda etki eder.
Paralelkenar yasasını kullanarak net kuvveti bulmak için, her iki kuvvet vektörüne de bir paralelkenar oluşacak şekilde paralel çizgiler çizin.
Şimdi, paralelkenarın köşegeni, iki römorkör nedeniyle gemideki net FN kuvvetini temsil ediyor. F1 ve F2 kuvvetlerinin vektör toplamı olarak ifade edilir.
Şimdi başka bir römorkörden üçüncü bir kuvvetin gemiye etki ettiğini varsayalım.
FN ve üçüncü kuvvet F3 kullanılarak başka bir paralelkenar oluşturulur. Bu yeni paralelkenarın köşegeni, her üç römorkörden dolayı gemi üzerindeki bileşke kuvveti verir.
Burada gemi üzerindeki bileşke kuvvet, her üç kuvvetin vektörel toplamı olarak ifade edilir.

<ol>
	<li>Hibbeler, R.C. (2016). Mühendislik Mekaniği \u2012 Statik ve Dinamik. Hoboken, New Jersey: Pearson Prentice Salonu. sayfa 18-22</li>
	<li>Bira, F.P.; Johnston, E.R.; Mazurek, D.F; Cromwell, P.J. ve Öz, B.P. (2019). Mühendisler için Vektör Mekaniği \u2012 Statik ve Dinamik. New York: McGraw-Tepesi. sayfa 29</li>
</ol>

kuvvetlerin vektörel toplanması

Birden fazla kuvvetin bir nesne üzerindeki etkilerini kavramak için vektörel toplama kavramını anlamak önemlidir. Bu matematiksel kavram, iki veya daha fazla kuvvetin etkili olduğu bir nesne üzerindeki net kuvveti hesaplamak için kullanılabilir.

Vektörel toplama kavramını anlamak için, iki küçük römorkör tarafından çekilen bir gemi senaryosunu düşünün. İki kuvvet, F1 ve F2, farklı yönlere doğru gemi üzerinde eş zamanlı olarak etki eder. Paralelkenar yasası, gemi üzerinde etkili olan net kuvveti hesaplamak için kullanılabilir.

Paralelkenar yasası, iki vektörü bir araya toplamak için geometrik bir yöntem sağladığı için vektörel toplama konusunda yardımcı olur. Bu yasa, bir paralelkenarın bitişik kenarları iki vektörü temsil ettiğinde, bu vektörlerin kesişiminden geçen çaprazın iki vektörün vektör toplamını temsil ettiğini belirtir. İki römorkör tarafından çekilen gemi bağlamında bu yasayı uygulamak için, her bir kuvvet vektörüne paralel olarak çizilen çizgiler bir paralelkenar oluşturmak için kullanılır. Ardından, iki vektörün kesişiminden geçen bir çapraz çizgisinin çizilmesi. Bu çapraz, gemi üzerindeki iki römorkör nedeniyle etkili olan sonuç veya net kuvveti temsil eder. Bu net kuvvet, iki kuvvetin vektör toplamı olarak ifade edilir.

Ancak, eğer üçüncü bir kuvvet F3 devreye girerse , başka bir paralelkenar çizilir. Bu sefer, önceki sonuç kuvveti F1 + F2, yeni paralelkenarın bir tarafı olarak kullanılır ve üçüncü kuvvet F3 diğer tarafıdır. Yine, bu paralelkenarın çaprazı, üç römorkörün neden olduğu gemi üzerindeki sonuç veya net kuvveti temsil eder. Bu gemi üzerindeki net kuvvet, F1 + F2 + F3 olarak adlandırılan üç kuvvetin vektör toplamı olarak ifade edilir.

Vektörel toplama, bir nesne üzerinde etkili olan birden fazla kuvvetin etkilerini anlamak için güçlü bir araçtır. Bu, fizik, mühendislik ve matematik gibi çeşitli alanlar için önemlidir. Paralelkenar yasasını ve vektörel toplama kavramını anlayarak, bir nesne üzerinde etkili olan net kuvvetin doğru hesaplanması ve tahmin edilmesi yapılabilir.

Kuvvetlerin Vektörel Toplanması

Bir nesneye etki eden birden fazla kuvvetin etkilerini anlarken, vektör toplama, kavramak için çok önemli bir kavramdır. Bu matematiksel kavram olabilir ...

Education

JoVE Core

Mechanical Engineering

Makine Mühendisliği

Unit 1

Ünite 1

Force Vectors

Kuvvet Vektörleri

KEY TERMS AND CONCEPTS

TEMEL TERİMLER VE KAVRAMLAR

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 Makine Mühendisliği, denge, kuvvetler, kafes kiriş analizi ve yapısal mekanik gibi temel konuları kapsayan kısa, anlaşılması kolay animasyonlu videolar sunar. Gerçek dünyadaki uygulamalarını keşfedin ve bilim insanlarının önderlik ettiği deneylerle bu kavramların uygulanmasına tanık olun.

mechanical engineering

Resultant Force from Tugboats

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