Path Integral Use P P W Fdr (Fir dx+ Fydy) 1 to evaluate the work done by the two-dimensional force F = (-y, x) following the three different paths joining P and Q shown below (note the direction) and defined as follows: (a) This path goes straight from P = (1,0) to the origin and then straight to Q = (0, 1). (b) This is a straight line from P to Q (c) This is a quarter-circle centered on the origin. Q b а P 0

University Physics Volume 1
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Author:William Moebs, Samuel J. Ling, Jeff Sanny
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Chapter7: Work And Kinetic Energy
Section: Chapter Questions
Problem 87AP: Consider a particle on which several forces act, one of which is known to be constant in time: . As...
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Path Integral Use
P
P
W
Fdr
(Fir dx+ Fydy)
1
to evaluate the work done by the two-dimensional force F = (-y, x) following the three
different paths joining P and Q shown below (note the direction) and defined as follows:
(a) This path goes straight from P = (1,0) to the origin and then straight to Q = (0, 1).
(b) This is a straight line from P to Q
(c) This is a quarter-circle centered on the origin.
Q
b
а
P
0
Transcribed Image Text:Path Integral Use P P W Fdr (Fir dx+ Fydy) 1 to evaluate the work done by the two-dimensional force F = (-y, x) following the three different paths joining P and Q shown below (note the direction) and defined as follows: (a) This path goes straight from P = (1,0) to the origin and then straight to Q = (0, 1). (b) This is a straight line from P to Q (c) This is a quarter-circle centered on the origin. Q b а P 0
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