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3. A particle follows the law of motion r(t) = 3 cost i + 3 sin tj, where 0

3. A particle follows the law of motion r(t) = 3 cost i + 3 sin tj, where 0

Advanced Engineering Mathematics
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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3. A particle follows the law of motion r(t) = 3 cost i + 3 sin tj, where ≤ t ≤ x/2, and is subject to the force field Answer the question below: (a) Pose the line integral that allows you to calculate the work done by EF on the particle along its entire path. (b) Calculate the work done by F on the particle. (c) Based on the result of the previous part, can we conclude that the field F is conservative? Explain in detail,
Transcribed Image Text:3. A particle follows the law of motion r(t) = 3 cost i + 3 sin tj, where ≤ t ≤ x/2, and is subject to the force field Answer the question below: (a) Pose the line integral that allows you to calculate the work done by EF on the particle along its entire path. (b) Calculate the work done by F on the particle. (c) Based on the result of the previous part, can we conclude that the field F is conservative? Explain in detail,
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