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: Tangent, Normal, Binormal, Curvature, Torsion

  1. Sep 20, 2006 #1
    Okay, so I was asked to find all the things listed in the topic title given the equation:
    [tex]r(t)=(cos^{3}t)\vec{i} + (sin^{3}t)\vec{j}[/tex]

    Now this is a lot of work, especially when it comes to finding the torsion [tex] \tau = - \frac{d \vec{B}}{ds} \cdot \vec{N}[/tex] a total of four derivitives. Maybe I am missing something about how these all relate, and I could somehow get around all the work. I would put up my work so far, but that would take a really long time.

    Basically, what I have done is find the tangent vector, so v/mag(v); the normal vector, derivative(tangent)/mag(tangent); the binormal, TxN; and now I got to Torsion (d(binormal)/dt)/mag(v) dot N. Torsion looks like it will be a long equation with my method.

    Last edited: Sep 20, 2006
  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