how do you find the work done by the given force F(x, y) in moving a particle along the given curve C in the xy-plane using the specified method. (a) method: green's theorem Force: F( x,y) = Y3i - x3j C : Circle of radius 2 centered at (0,0) oriented in the counterclockwise direction   (b) method: use either direct computation or Green's Theorem Force: F( x,y) = x3i + y3j C : Circle of radius 2 centered at (0,0) oriented in the counterclockwise direction   (c) method: use either direct computation or Green's Theorem Force: F( x,y) = x3i + y3j C: Along the curve y = 2x3- x from (0,0) to (1,1)

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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how do you find the work done by the given force
F(x, y) in moving a particle along the given curve C in the xy-plane using the specified method.

(a)

method: green's theorem

Force: F( x,y) = Y3i - x3j

C : Circle of radius 2 centered at (0,0) oriented in the counterclockwise direction

 

(b)

method: use either direct computation or Green's Theorem

Force: F( x,y) = x3i + y3j

C : Circle of radius 2 centered at (0,0) oriented in the counterclockwise direction

 

(c)

method: use either direct computation or Green's Theorem

Force: F( x,y) = x3i + y3j

C: Along the curve y = 2x3- x from (0,0) to (1,1)

 

 

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