Calculate the work done by the force: F(x, y, z) = (y — z)î + (z + x)ĵ+ (x + y)k in moving a particle along the curve parameterised as: r(t) = (2 cost, √2 sint, √2 sin t) with t = [0, 2π]. Comment on what can be inferred from this result on the properties of this vector field.
Calculate the work done by the force: F(x, y, z) = (y — z)î + (z + x)ĵ+ (x + y)k in moving a particle along the curve parameterised as: r(t) = (2 cost, √2 sint, √2 sin t) with t = [0, 2π]. Comment on what can be inferred from this result on the properties of this vector field.
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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![Calculate the work done by the force:
F(x, y, z) = (y − z)î + (z + x)ĵ + (x + y)k
in moving a particle along the curve parameterised as:
r(t) = (2 cost, √2 sin t, √2 sin t)
with t = [0, 2π].
Comment on what can be inferred from this result on the properties of this vector field.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F94570858-0743-4eb8-aeee-6e48e0ce74c8%2Ffcdad624-1e70-487a-9582-619f73501074%2Fjgzjvee_processed.png&w=3840&q=75)
Transcribed Image Text:Calculate the work done by the force:
F(x, y, z) = (y − z)î + (z + x)ĵ + (x + y)k
in moving a particle along the curve parameterised as:
r(t) = (2 cost, √2 sin t, √2 sin t)
with t = [0, 2π].
Comment on what can be inferred from this result on the properties of this vector field.
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