A force is said to be conservative when it satisfies F(x) = - grad(U(x)). Its components must satisfy the ofy and so on. Which of the following forces are conservative? ду relations дх a) Fx=ayz+ bx + e b) F, — аху + byу c) F:=e*+y/z

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter2: Newtonian Mechanics-single Particle
Section: Chapter Questions
Problem 2.46P
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A force is said to be conservative when it satisfies F(x) = - grad(U(x)). Its components must satisfy the
relations
ду
aFy
and so on. Which of the following forces are conservative?
a) Fx= ayz + bx+ c
%3D
c) F:=e*+y/z
Transcribed Image Text:A force is said to be conservative when it satisfies F(x) = - grad(U(x)). Its components must satisfy the relations ду aFy and so on. Which of the following forces are conservative? a) Fx= ayz + bx+ c %3D c) F:=e*+y/z
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