A space vehicle flies into a gravitational force field F(x, y, z)=-y(b²2² + a²y²)i + (b²r² + a²y)j +czk with a flight path given by r(t) = acost, y(t)=bsint, z(t) = c(4z-t) for a duration of 0 ≤ts 4x where a 2.4, b-2.1 and c-1.0. Compute the work done (following path integral):
A space vehicle flies into a gravitational force field F(x, y, z)=-y(b²2² + a²y²)i + (b²r² + a²y)j +czk with a flight path given by r(t) = acost, y(t)=bsint, z(t) = c(4z-t) for a duration of 0 ≤ts 4x where a 2.4, b-2.1 and c-1.0. Compute the work done (following path integral):
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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The answers can be in the form of like (a+b/3).
Transcribed Image Text:Aspace vehicle flies into a gravitational force field
F(z, y. :) = -y(+ a*yf)i+ r(&r+a*y)j+ck
with a flight path given by
r(t) a cost, y(t) b sin t, 2(t) (4z-t).
for a duration ofostS 4z where a-2.4, b-2.1 and c-1.0. Compute the work done
(following path integral):
F-dr
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