Find all three components of vector W

  • Thread starter Thread starter Toranc3
  • Start date Start date
  • Tags Tags
    Components Vector
Click For Summary

Homework Help Overview

The problem involves finding the components of a vector W that lies in the y-z plane, with a specified magnitude and direction defined by an angle with respect to the y-axis. The context includes the use of trigonometric functions to resolve the vector into its components.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants discuss the application of trigonometric functions to resolve the vector components, questioning the appropriate use of sine and cosine based on the angle's reference axis. There is also an exploration of the meaning of angles in relation to the coordinate axes.

Discussion Status

The discussion is ongoing, with participants providing insights and asking clarifying questions about the vector's orientation and the use of trigonometric functions. Some guidance has been offered regarding the interpretation of axes and angles, but no consensus has been reached on the approach to the problem.

Contextual Notes

Participants express uncertainty about how to handle the z component and the implications of the angle's reference. There is a mention of the original poster's confusion regarding the application of trigonometric functions in this context.

Toranc3
Messages
189
Reaction score
0

Homework Statement



W is 8 units in the y-z plane in a direction defined by theta = 120 degrees with respect to the y-axis and have a positive z component.

Homework Equations


Wy=Wsin(theta)
R^(2)=Rx^(2)+Ry^(2)+Rz^(2)

The Attempt at a Solution


Wy=Wsin(theta)
Wy=8sin(120) =6.9

8^(2)=Sqrt(0^(2)+(6.9)^(2)+(Rz)^(2))

Rz=4.04 units. is this par right? I am not sure how to approach this one. I only how how to deal with x and y-axis but not z. Can sombody point me in the right direction? thanks!
 
Last edited:
Physics news on Phys.org
x, y and z are just labels. What is important is that you have two axes and a vector in their plane, at an angle with respect to one axis.
 
voko said:
x, y and z are just labels. What is important is that you have two axes and a vector in their plane, at an angle with respect to one axis.

Would I use y or z with the cosin(theta)? How do I know to what goes with sin and cosin?
 
What is the angle with respect to? What do cosine and sine mean? Draw a unit circle, and label the axes with y and z so that things make sense.
 
voko said:
What is the angle with respect to? What do cosine and sine mean? Draw a unit circle, and label the axes with y and z so that things make sense.

Thanks!
 

Similar threads

Replies
8
Views
1K
Replies
3
Views
2K
Replies
12
Views
3K
  • · Replies 4 ·
Replies
4
Views
3K
  • · Replies 2 ·
Replies
2
Views
3K
  • · Replies 16 ·
Replies
16
Views
2K
  • · Replies 46 ·
2
Replies
46
Views
7K
  • · Replies 21 ·
Replies
21
Views
3K
Replies
5
Views
6K
Replies
3
Views
2K