Vector Addition and Resultant Force

In summary, a vector application question involves using vectors to solve real-world problems and has many applications in various industries. To solve such questions, one must break down the scenario, identify relevant vectors, and use vector operations and principles. Key concepts to understand include vector addition and subtraction, components, dot and cross products, and projections. These questions can have any number of dimensions, but are typically seen in two or three dimensions.
  • #1
Gebraroest
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0

Homework Statement




Two forces act on an object. The angle between them is 50°. One force is 150 N. The resultant force is 200 N. Find the second force and the angle that makes it resultant.
Use Cartesian vector methods to solve your problem.

Homework Equations





The Attempt at a Solution


I have the force one as u = [150, 0]
Resultant is [150 + vx, 0 + yx]
This means 200^2 = (150 + vx)^2 + (yx)^2
I have no idea what to do from now on, any help is greatly apprecieted
 
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  • #2
You know the angle between the two component vectors forming the resultant. Don't you think you could use that?
 

FAQ: Vector Addition and Resultant Force

What is a vector application question?

A vector application question is a type of problem that involves using vectors and their properties to solve a given scenario or situation. Vectors are mathematical quantities that have both magnitude and direction, and they are commonly used in physics and engineering.

What are some common applications of vectors?

Vectors have many real-world applications, such as in navigation, motion analysis, force and acceleration calculations, and even in computer graphics and gaming. They are also used in industries like aviation, construction, and transportation.

How do I solve a vector application question?

Solving a vector application question involves breaking down the given scenario into smaller components, identifying the relevant vectors involved, and applying the appropriate vector operations and principles to find the desired solution. It is important to carefully draw and label the vectors in order to visualize the problem and make it easier to solve.

What are some key concepts to understand when dealing with vector application questions?

Some key concepts to understand when dealing with vector application questions include vector addition and subtraction, vector components, dot and cross products, and vector projections. It is also important to have a good understanding of trigonometry and how to use it to find angles and magnitudes in vector problems.

Can vector application questions have more than two dimensions?

Yes, vector application questions can have any number of dimensions, although they are more commonly seen in two or three dimensions. In higher dimensions, the same principles and operations apply, but the calculations become more complex and may require the use of matrices and other mathematical tools.

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