• Support PF! Buy your school textbooks, materials and every day products via PF Here!

Vector components on Tilted Axis

θ1. Homework Statement

Find the components N[itex]_{x}[/itex] and N[itex]_{y}[/itex] of vector N in the tilted cooridinate system.


2. Homework Equations

cosθ = adg/hyp and sinθ= opp/hyp



3. The Attempt at a Solution

vectorconfusionc.jpg


The correct answer is supposed to be
N[itex]_{x}[/itex] = -Nsinθ and N[itex]_{y}[/itex] = Ncosθ

The error is on the component vector N[itex]_{x}[/itex].

How do you find the component vectors and come up with a negative for N[itex]_{x}[/itex]?
 
Last edited:

Simon Bridge

Science Advisor
Homework Helper
17,823
1,637
The x component of N is pointing in the -x direction.
That's what the minus sign is telling you.

You have to do this because the positive angle is measured from the y axis and towards the negative x axis.
If you measured it towards the positive x axis then the angle shown would be negative, and the sign would take care of itself.
 

Related Threads for: Vector components on Tilted Axis

  • Posted
Replies
4
Views
2K
  • Posted
Replies
12
Views
8K
  • Posted
Replies
10
Views
1K
Replies
3
Views
1K
Replies
1
Views
3K
  • Posted
Replies
1
Views
1K
  • Posted
Replies
6
Views
811
  • Posted
Replies
2
Views
537

Physics Forums Values

We Value Quality
• Topics based on mainstream science
• Proper English grammar and spelling
We Value Civility
• Positive and compassionate attitudes
• Patience while debating
We Value Productivity
• Disciplined to remain on-topic
• Recognition of own weaknesses
• Solo and co-op problem solving
Top