Unformatted text preview: ). cos 1 ( + = a r 3. (a) Prove that the torsion 2 2 2 2 3 3 2 2 ) ( ds d ds d ds d ds d ds d s r r r r r ⋅ × ⋅ = τ for a curve r ( s ) defined in terms of its intrinsic arc length parameter s . (b) Use the formula derived in (a) to find the torsion at any point of the circular helix defined by . sin cos ) ( k j i r bt t a t a t + + =...
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- Spring '10
- Trigraph, Conic section, Radius of curvature