2. Let C be the curve of intersection between the cylinder r2+y = 1 and r-2y+z = 0, oriented counter- clockwise when viewed from above. Calculate the work done by the vector field (r2 + 2z, y3 – a?, 3y) on a particle moving along C. Do this calculation twice; once directly and once using Stokes' theorem, and verify that you get the same answer.
2. Let C be the curve of intersection between the cylinder r2+y = 1 and r-2y+z = 0, oriented counter- clockwise when viewed from above. Calculate the work done by the vector field (r2 + 2z, y3 – a?, 3y) on a particle moving along C. Do this calculation twice; once directly and once using Stokes' theorem, and verify that you get the same answer.
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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Transcribed Image Text:2. Let C be the curve of intersection between the cylinder r2+y = 1 and r-2y+z = 0, oriented counter-
clockwise when viewed from above. Calculate the work done by the vector field (r? + 2z, y3 – a?, 3y)
on a particle moving along C. Do this calculation twice; once directly and once using Stokes' theorem,
and verify that you get the same answer.
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