how to find the curve parametric equations from the given graph in mathematica 7??
the graph in the attach file, and its name Cycloid
Cycloid - Wikipedia, the free encyclopedia
how to find the curve parametric equations from the given graph in mathematica 7??
the graph in the attach file, and its name Cycloid
Cycloid - Wikipedia, the free encyclopedia
The parametric equations for a cycloid are given by
$\displaystyle x=a{\phi}-a\cdot sin{\phi}, \;\ y=a-a\cdot cos{\phi}$
Where 'a' is the radius of the circle.
To plot in Mathematica, maybe let a=1 or some other arbitrary value.
I let a=1 here, and the range can be whatever. I just used 4 Pi to show 2 'rolls'.
ParametricPlot[{u-Sin[u],1-Cos[u]},{u,0,4Pi}]
Does this help?