Curvature k and torsion of a helix C are in a constant ratio to the curvature k, of the plane curve C, obtained by projecting C on a plane perpendicular to the axis of helix i.e. they are connected by the relation t = k₁ sin a cos a k = k₁ sin² a gonstant angle at which the helix cut the generators. and

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question
Curvature k and torsion of a helix C are in a constant ratio to the
curvature k, of the plane curve C, obtained by projecting C on a plane perpendicular to
the axis of helix i.e. they are connected by the relation
and t = k₁ sin a cos a
where à is the constant angle at which the helix cut the generators.
k = k₁ sin² a
1
Transcribed Image Text:Curvature k and torsion of a helix C are in a constant ratio to the curvature k, of the plane curve C, obtained by projecting C on a plane perpendicular to the axis of helix i.e. they are connected by the relation and t = k₁ sin a cos a where à is the constant angle at which the helix cut the generators. k = k₁ sin² a 1
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,