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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 k = k₁ sin² a where a is the constant angle at which the helix cut the generators.

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 k = k₁ sin² a where a is the constant angle at which the helix cut the generators.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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T 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 α cos a k = k₁ sin² α where a is the constant angle at which the helix cut the generators. and
Transcribed Image Text:T 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 α cos a k = k₁ sin² α where a is the constant angle at which the helix cut the generators. and
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