Samples of parametric equations

Click For Summary
SUMMARY

This discussion focuses on parametric equations, specifically seeking well-known examples used in mathematics, physics, and engineering. The user provides the equation for an ellipse, x=A*cos(t) and y=B*sin(t), and requests additional examples. Notable parametric equations mentioned include the Cycloid, Epicycloid, Hypocycloid, and Hypotrochoid, which are recognized for their applications in various fields. The conversation emphasizes the importance of using established and meaningful parametric equations for academic reports.

PREREQUISITES
  • Understanding of parametric equations
  • Familiarity with trigonometric functions
  • Basic knowledge of calculus and curves
  • Awareness of applications in physics and engineering
NEXT STEPS
  • Research the mathematical properties of the Cycloid
  • Explore the applications of Epicycloids in mechanical engineering
  • Study the Hypotrochoid and its use in gear design
  • Investigate the Spirograph and its mathematical significance
USEFUL FOR

Students, educators, and professionals in mathematics, physics, and engineering who require a deeper understanding of parametric equations and their applications in real-world scenarios.

xyz3003
Messages
5
Reaction score
0
I need samples of parametric equations:
x=Fx(t);
y=Fy(t);

the samples must be useful or famous in math, physics or engineer, not be created randomly meaningless.

one that I know is to describle ellipse:
x=A*cos(t);
y=B*sin(t);

I need 2 or more good samples for my report.

thanks.

found so far:

Cycloid
Epicycloid
Hypocycloid
Hypotrochoid
Spirograph
 
Last edited:
Mathematics news on Phys.org
A cycloid is a good example. Look it up.
 
nicktacik,
thanks.
by your clue, i found a set of them:

Cycloid
Epicycloid
Hypocycloid
Hypotrochoid

I add them in my post and will use them soon.

Any other interesting locus?
 

Similar threads

MHB 243 parametric equations and motion direction
  • · Replies 3 ·
Replies
3
Views
2K
Undergrad Eliminating the Parameter from Helix Equation
  • · Replies 3 ·
Replies
3
Views
2K
Finding a Parametric Solution for Particle Trajectory in Magnetic Field
  • · Replies 3 ·
Replies
3
Views
2K
Undergrad Does derivative formula work for all parametric equations
  • · Replies 4 ·
Replies
4
Views
2K
Parametric equation of a circle intersecting 3 points
  • · Replies 11 ·
Replies
11
Views
3K
Find the scalar, vector, and parametric equations of a plane
  • · Replies 8 ·
Replies
8
Views
3K
Undergrad How Does Parametrization Help Describe Particle Motion in Mathematics?
  • · Replies 3 ·
Replies
3
Views
2K
Undergrad Area ellipse: parametric form, angles and coincidences
  • · Replies 10 ·
Replies
10
Views
3K
Help with solving parametric equation
  • · Replies 11 ·
Replies
11
Views
2K
Area Between the Parametric Curves
  • · Replies 1 ·
Replies
1
Views
2K