Drawing curves in Spherical coordinate

Click For Summary
SUMMARY

The discussion focuses on drawing curves in spherical coordinates, specifically addressing a problem related to the relationship between points on a sphere. The user identifies that the parameter p<3 corresponds to a larger sphere with a radius of 3, while seeking clarification on the smaller sphere's representation. A hint is provided, suggesting the use of a geometric approach involving a circle with point B at the bottom and center O, leading to the equation BP = 2OBcos(OBP).

PREREQUISITES
  • Understanding of spherical coordinates and their properties
  • Familiarity with basic trigonometry and cosine functions
  • Knowledge of geometric constructions involving circles and spheres
  • Ability to interpret mathematical hints and apply them to problem-solving
NEXT STEPS
  • Study the properties of spherical coordinates in depth
  • Learn about geometric interpretations of trigonometric functions
  • Explore the derivation of equations related to circles and spheres
  • Practice solving problems involving curves in three-dimensional space
USEFUL FOR

Students studying mathematics, particularly those focusing on geometry and spherical coordinates, as well as educators looking for effective teaching strategies in these topics.

athrun200
Messages
275
Reaction score
0
I had a tutorial today and my tutor said these questions are very trivial so we can simply look at it at home.

But after going home, I found that I don't know how to do Q 35.
I know that p<3 is responsible for the big sphere with r=3. But I don't know why the other part is responsible for the small sphere

attachment.php?attachmentid=44633&stc=1&d=1330694179.jpg

attachment.php?attachmentid=44634&stc=1&d=1330694181.jpg
 

Attachments

  • 0000.jpg
    0000.jpg
    24.2 KB · Views: 470
  • 00000.jpg
    00000.jpg
    22.7 KB · Views: 429
Physics news on Phys.org
hi athrun200! :smile:

hint: draw a circle with B at the bottom, centre O, and any point P

then BP = 2OBcosOBP :wink:
 

Similar threads

Undergrad Integration over a part of a spherical shell in Cartesian coordinates
  • · Replies 1 ·
Replies
1
Views
3K
Undergrad Evaluating the integral in spherical coordinates - how to do it correctly?
  • · Replies 1 ·
Replies
1
Views
2K
How to calculate a sink using spherical coordinates
  • · Replies 7 ·
Replies
7
Views
1K
High School Method of images and spherical coordinates
  • · Replies 4 ·
Replies
4
Views
2K
Undergrad What would a calculus author have to say on ##\int r^2dm##?
  • · Replies 11 ·
Replies
11
Views
3K
Graduate Surface Area of a Sphere in Spherical Coordinates; Concentric Rings
  • · Replies 5 ·
Replies
5
Views
90K
Undergrad Static sphere with gravitating fluid
  • · Replies 6 ·
Replies
6
Views
2K
Undergrad Jacobian in spherical coordinates?
  • · Replies 7 ·
Replies
7
Views
7K
Kinematics, curvilinear motion (a couple of questions)
  • · Replies 30 ·
2
Replies
30
Views
2K
Undergrad Circumference of a circle on a spherical surface
  • · Replies 7 ·
Replies
7
Views
5K