A closed curve C is the intersection of the cylinder x? +y? = 1 and the plane S : 2y+z = 2. 1) Sketch the projection of the curve C on the xy-plane. 2) Use Stokes theorem to evaluate the work f F dr done by the force F = zi+4.xj+yz²k to move an object once around C in anti-clockwise direction when viewed from above.
A closed curve C is the intersection of the cylinder x? +y? = 1 and the plane S : 2y+z = 2. 1) Sketch the projection of the curve C on the xy-plane. 2) Use Stokes theorem to evaluate the work f F dr done by the force F = zi+4.xj+yz²k to move an object once around C in anti-clockwise direction when viewed from above.
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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8 Please handwrite the working and solutions if possible, I find this easier to follow than typed solutions!
Transcribed Image Text:A closed curve C is the intersection of the cylinder x2+y² = 1 and the plane S : 2y+z = 2.
1) Sketch the projection of the curve C on the xy-plane.
2) Use Stokes theorem to evaluate the work [ F ·dr done by the force F
zi+4.xj+yz²k
S
to move an object once around C in anti-clockwise direction when viewed from above.
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