A force F acts on a particle that is moving in the plane along the semi-circle parameterized by 7(t) = (– cos t)i+ (sin t)j; t e [0, T]. Find the work W = ſc F · d³ done by the force field when (a) Væ² + y² î (b) F = Vx2 + y² î, where ↑ is the unit vector tangential to the path.
A force F acts on a particle that is moving in the plane along the semi-circle parameterized by 7(t) = (– cos t)i+ (sin t)j; t e [0, T]. Find the work W = ſc F · d³ done by the force field when (a) Væ² + y² î (b) F = Vx2 + y² î, where ↑ is the unit vector tangential to the path.
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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![1. A force F acts on a particle that is moving in the plane along the semi-circle parameterized by 7(t) = (– cos t)i+
(sin t)j; t E [0, T]. Find the work W = f F · dš done by the force field when
(a) F = Vx² + y² î
(b) F
x² + y² î, where î is the unit vector tangential to the path.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc1db0a8d-7a0a-4a06-9757-d3194d74bf23%2F7290822d-c276-4c04-b4b6-8ae87c5371d3%2Faw976yh_processed.png&w=3840&q=75)
Transcribed Image Text:1. A force F acts on a particle that is moving in the plane along the semi-circle parameterized by 7(t) = (– cos t)i+
(sin t)j; t E [0, T]. Find the work W = f F · dš done by the force field when
(a) F = Vx² + y² î
(b) F
x² + y² î, where î is the unit vector tangential to the path.
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