Graphing a curve

[corky0777]

This is a long problem with two parts to it. I am horrible at graphing and not sure how to graph the curve. I am also having problems finding a[sub:1d3w0w0f]T[/sub:1d3w0w0f], a[sub:1d3w0w0f]N[/sub:1d3w0w0f]. Here is the full problem.

a) Let r(t) = <a(wt-sin(wt)), a(1-cos(wt))>. Find T, N, a[sub:1d3w0w0f]T[/sub:1d3w0w0f], a[sub:1d3w0w0f]N[/sub:1d3w0w0f].

b) Graph this curve when a =1, w=1, and 0</= t </= 4pi. When is a[sub:1d3w0w0f]T[/sub:1d3w0w0f] positive, and when is it negative? How does this relate to the speed of a point traveling on a curve?

 

[galactus]

As far as the graphing goes, do you have a calculator that graphs in parametric?.

If not, you can download one here for free:

http://www.padowan.dk

Here is the graph with a=w=1 using the graphing utility from the above link:

 

[corky0777]

I have a TI-84 Plus and Im almost 100% sure it graphs in paramtric. How do I graph it? As two seperate functions or just put a comma between them like the problem gives?

 

[galactus]

When you set your calcualtor to plot in parametric, it wil have two separate spaces to plot x(t) and y(t). It is self explnantory.

First, set your TI to plot in parametric. Here is the link to show how:

http://education.ti.com/guidebooks/grap ... rt2_EN.pdf

Go to chapter 4