A force F acts on a particle that is moving in the plane along the semi-circle parameterized by 7(t) = (- cost)i+ (sin t)j; t e [0, ]. Find the work W = S, F · d³ done by the force field when (a) F = x² + y² î (b) F - x2 + y² î, where î 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) = (- cost)i+ (sin t)j; t e [0, ]. Find the work W = S, F · d³ done by the force field when (a) F = x² + y² î (b) F - x2 + y² î, where î 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, 7]. Find the work W = f,F • dš done by the force field when
%3D
(a) F
x² + 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%2Fc1e46184-5bb3-4339-852b-bb3ef2e0784b%2Fd089a3ac-9c59-439f-9620-a3d54304e679%2F5wk5bss_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, 7]. Find the work W = f,F • dš done by the force field when
%3D
(a) F
x² + y² î
(b) F
x²
+ y2 î, where î is the unit vector tangential to the path.
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