Physics Notes - Herong's Tutorial Notes - v3.24, by Herong Yang
2-Dimensional Cartesian Coordinate System
This section provides an introduction of 2-dimensional Cartesian coordinate systems, which uses perpendicular projections on 2 perpendicular axes to describe any locations in the frame of reference.
When describing an object that is moving along non-straight line, we need to use 2-dimensional or 3-dimensional frame of references and coordinate systems.
For example, the trajectory of a flying golf ball is not a straight line, but it can described with a 2-dimensional frame of reference and an associated coordinate system.
First, let's define a 2-dimensional frame of reference as a vertical rectangle:
Next, let's create a simple coordinate system:
Now we are can describe any location of the golf ball while it's flying in the air as a pair of coordinate numbers by reading scales of its perpendicular projections on the x-axis and the y-axis.
For example, the highest location of the golf ball in the picture below can be described as (14.89, 7.93) because:
Table of Contents
►Introduction of Frame of Reference
Frame of Reference with 2 Objects
►2-Dimensional Cartesian Coordinate System
3-Dimensional Cartesian Coordinate System
1 Frame of Reference with 2 Coordinate Systems
Introduction of Special Relativity
Time Dilation in Special Relativity
Length Contraction in Special Relativity
The Relativity of Simultaneity
Minkowski Spacetime and Diagrams
Introduction of Generalized Coordinates
Phase Space and Phase Portrait