Finding curvature and torsion from derivatives of the Frenet frame

  • Thread starter Thread starter dimpledur
  • Start date Start date
  • Tags Tags
    Curvature Torsion
Join the discussion
Registration is free. Start your own thread to ask a follow-up.
1 reply · 2K views
dimpledur
Messages
193
Reaction score
0

Homework Statement



http://www.mathhelpforum.com/math-help/attachments/f6/22423d1317129472-curvature-torsion-untitled.png



The Attempt at a Solution



What I did was I calculated the unit vector for dN/ds={.21i+0.91j-0.42k}/ sqrt(.21^2+.91^2+0.42^2)=.205i+0.889j-.4102k


then, I took a derivative of N

since N=BxT,

dN/ds=(dB/ds)xT+Bx(dT/ds)
then taking T and doing dot product on both sides:
T⋅(dN/ds)=T⋅(dB/ds)xT+Bx(dT/ds) which simplifies to:
T⋅(dN/ds)=dB/ds
T⋅(dN/ds)=-τN

From here I have no clue what I should be doing..

Any suggestions will be greatly appreciated
 
Last edited by a moderator:
Physics news on Phys.org