Show that the helix [a cos t, a sin t, ct] can be represented by [a cos

Question:

Show that the helix [a cos t, a sin t, ct] can be represented by [a cos (s/K), a sin (s/K), cs/K], where K = √a2 + c2 and s is the arc length. Show that it has constant curvature k = a/K2 and torsion τ = c/K2.
Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For  book-img-for-question

Modern Control Systems

ISBN: 978-0136024583

12th edition

Authors: Richard C. Dorf, Robert H. Bishop

Question Posted: