Finding x and y components of a magnitude

In summary, finding the x and y components of a magnitude involves breaking down a vector into its horizontal and vertical components. This can be done by using trigonometric functions such as sine and cosine, and applying them to the angle and magnitude of the vector. The x and y components can then be used to calculate the overall magnitude and direction of the vector. This process is commonly used in physics and engineering to analyze forces and motion.
  • #1
aron silvester

Homework Statement


I basically want to find the x and y component of a given magnitude of 1.96 N. I am given some other information such as mass and direction. Since the direction of the vector b is upwards, towards the 90-degree direction, then the y-component will also be equal to the magnitude of 1.96 N? Thus, x-component will be 0 N? Are my assumptions right?
IMG_1732.jpeg


Homework Equations


Magnitude = mass * gravity

The Attempt at a Solution


IMG_1733.jpeg
 
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  • #2
aron silvester said:
Are my assumptions right?
Yes.
 

1. What are x and y components of a magnitude?

The x and y components of a magnitude refer to the horizontal and vertical components of a vector, respectively. These components represent the magnitude's direction and are typically represented by the coordinates (x,y) on a graph or coordinate plane.

2. How do you find the x and y components of a magnitude?

To find the x and y components of a magnitude, you can use the trigonometric functions sine and cosine. The x component is equal to the magnitude multiplied by the cosine of the angle between the magnitude and the x-axis, while the y component is equal to the magnitude multiplied by the sine of the angle.

3. What is the purpose of finding the x and y components of a magnitude?

The purpose of finding the x and y components of a magnitude is to break down a vector into its horizontal and vertical components, which can make it easier to analyze and understand the direction and magnitude of the vector. It is also useful in calculating the net force or displacement of an object in physics.

4. Can you find the x and y components of a magnitude using other methods?

Yes, there are other methods for finding the x and y components of a magnitude, such as using the Pythagorean theorem or using vector notation. However, the most common and efficient method is using trigonometric functions.

5. Are there any real-world applications for finding x and y components of a magnitude?

Yes, there are many real-world applications for finding x and y components of a magnitude, including in navigation, engineering, and physics. For example, in navigation, finding the x and y components of a ship's velocity can help determine its direction and speed. In engineering, it can be used to analyze forces acting on structures. In physics, it is essential in calculating the displacement of an object in projectile motion.

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