The curve C, is an arc of the unit circle centered at the origin. Show that: (a) The scalar curl of F is zero. (b) Sc, F - dĩ = Sc, F - dř. (c) So F - dř = 0, the angle at the origin subtended by the oriented curve C1. %3D

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.4: Plane Curves And Parametric Equations
Problem 34E
icon
Related questions
Question
6. Let
F(1,y) = -y, z]
1² + y2
and let C1, C2 be oriented curves as below.
B
C1
C2
A
The curve C, is an are of the unit circle centered at the origin. Show that:
(a) The scalar curl of F is zero.
(b) ſc, F - dĩ = fc F · dĩ.
(c) Sa F - dĩ = 0, the angle at the origin subtended by the oriented curve C1.
%3D
Transcribed Image Text:6. Let F(1,y) = -y, z] 1² + y2 and let C1, C2 be oriented curves as below. B C1 C2 A The curve C, is an are of the unit circle centered at the origin. Show that: (a) The scalar curl of F is zero. (b) ſc, F - dĩ = fc F · dĩ. (c) Sa F - dĩ = 0, the angle at the origin subtended by the oriented curve C1. %3D
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,