Uniform circular motion and coordinate system

  • Thread starter ace123
  • Start date
  • #1
250
0
2. In the figure below the particle P is in uniform circular motion. The motion is centered on the origin of an xy coordinate system.
(a) At what values of [tex]\vartheta[/tex] is the vertical component r[tex]_{y}[/tex] of the position vector greatest in magnitude?
(b) At what values of [tex]\vartheta[/tex] is the vertical component v[tex]_{y}[/tex] of the particle’s velocity greatest in magnitude?
(c) At what values of [tex]\vartheta[/tex] is the vertical component a[tex]_{y}[/tex] of the particle’s acceleration greatest in magnitude?

a. How can radius have a vertical component? It's just a distance or would it be a displacement?

b. Isn't velocity always tangential to the circle so how would there be a y component? Or does he just mean when it points in the y direction like at zero and 180 degrees?

c. Would it be 90 degrees and 270 because it only has a vertical component?

Any help would be appreciated
 

Answers and Replies

  • #2
250
0
The figure is in my gravitational force post. I don't know how to move it. It's question 2.
 
  • #3
G01
Homework Helper
Gold Member
2,665
16
You have the basic idea correct. The magnitude of the y component of each vector is greatest when the whole vector lies along the y-axis. So, your answers to b) and c) are correct.

For part a) you are working with a position vector, not just a distance. The radial position vector points outward from the origin toward the object. Can you answer part a) now?
 
  • #4
250
0
Yea I can answer it now. I just didn't know it was a vector thought it was just a scalar. Shouldn't it just be at 90 degrees and 270 again?
 
  • #5
G01
Homework Helper
Gold Member
2,665
16
Yea I can answer it now. I just didn't know it was a vector thought it was just a scalar. Shouldn't it just be at 90 degrees and 270 again?
You got it.:smile:
 
  • #6
250
0
Thanks for the help
 

Related Threads on Uniform circular motion and coordinate system

Replies
8
Views
9K
Replies
3
Views
1K
Replies
14
Views
402
  • Last Post
Replies
23
Views
5K
  • Last Post
Replies
1
Views
1K
  • Last Post
Replies
3
Views
1K
  • Last Post
Replies
1
Views
809
  • Last Post
Replies
4
Views
513
  • Last Post
Replies
3
Views
899
  • Last Post
Replies
6
Views
2K
Top