sufficient condition for a curve to be a helix isThenecessaryandthat its curvature and torsion are in a constant ratio.

Answered: Image /qna-images/answer/24883ff7-220a-458f-89dc-3f5a9f70a62a.jpg

Answered: sufficient condition for a curve to be…

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter6: Rates Of Change

Section6.1: Velocity

Problem 12SBE

See similar textbooks

Similar questions

Write parametric equations for a cycloid traced by a point P on a circle of radius a as the circle rolls along the x -axis given that P is at a maximum when x=0.
Determine whether the statement is true or false. If it is false, explain why or give an example that shows it is false.The curvature of a plane curve at an inflection point is zero.
Explain Curvature of a Plane Curve?
Consider points P and Q on a curve. What does it mean for the curvature at P to be less than the curvature at Q?
A formula for the curvature of the graph of a function in the xy-plane
Find the radii of curvature and torsion at a point of the curve x^2+y^2=a^2 , x^2-y^2=az
Explain in words the meaning of the curvature of a curve. Is it ascalar function or a vector function?
Find the radius of curvature of the curve x^2 y=a(x^2+y^2) at the point (–2a,2a).
Radius of curvature
Consider the given plane curve. Find the point on the curve where the curvature is maximised. What happens to the curvature at t approaches infinity?
Find the curvature and radius of curvature of the plane curve at the given value of x. (Give your answers correct to 3 significant figures.)y=5x + 4/x , x=1
Mark the correct statements. i.Every plane curve has a tangent vector different from the zero vector at least in one point. ii.If the tangent vector calculated with the help of parameterization is not a zero vector, then the unit tangent vector of the curve is ± unequivocal. iii.With the help of derivative parametrization, a normal vector that is not the zero vector can always be formed. iv.A plane curve that does not intersect itself can have at most two different unit normals at each point of the curve. v.If the space curve has one unit normal different from the zero vector at some point, then it has infinitely many unit normals at this point.

SEE MORE QUESTIONS

Recommended textbooks for you

Functions and Change: A Modeling Approach to Coll…

Algebra

ISBN:

9781337111348

Author:

Bruce Crauder, Benny Evans, Alan Noell

Publisher:

Cengage Learning

Algebra & Trigonometry with Analytic Geometry

Algebra

ISBN:

9781133382119

Author:

Swokowski

Publisher:

Cengage

Trigonometry (MindTap Course List)

Trigonometry

ISBN:

9781337278461

Author:

Ron Larson

Publisher:

Cengage Learning

Functions and Change: A Modeling Approach to Coll…

Algebra

ISBN:

9781337111348

Author:

Bruce Crauder, Benny Evans, Alan Noell

Publisher:

Cengage Learning

Algebra & Trigonometry with Analytic Geometry

Algebra

ISBN:

9781133382119

Author:

Swokowski

Publisher:

Cengage

Trigonometry (MindTap Course List)

Trigonometry

ISBN:

9781337278461

Author:

Ron Larson

Publisher:

Cengage Learning

SEE MORE TEXTBOOKS

sufficient condition for a curve to be a helix is The necessary and that its curvature and torsion are in a constant ratio.