1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: Find a tangent & a normal

  1. Sep 21, 2008 #1
    Write a in the form a=a[tex]_{Y}[/tex]T+a[tex]_{N}[/tex]N without finding T and N at the given t-value.

    r=t[tex]\widehat{i}[/tex]+3t[tex]^{2}[/tex][tex]\widehat{j}[/tex]+t[tex]^{2}[/tex]/2[tex]\widehat{k}[/tex] , t=2

    The first thing I did was to find the first derivative. Which turned out to be i+6tj+tk
    Then I found the length [tex]\sqrt{1+37t^{2}}[/tex]
    Then I took the derivative of that to find a[tex]_{T}[/tex] 37t/[tex]\sqrt{37t^{2}+1}[/tex]

    So my question really is, for a[tex]_{N}[/tex] do I really have to plug that mess into [tex]\sqrt{|a|^{2}-a_{T}^{2}}[/tex]
     
  2. jcsd
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook

Can you offer guidance or do you also need help?
Draft saved Draft deleted



Loading...