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Requiem
 one year ago
Given F1=2xi2yzjy^2k and F2=yixj,
Are these forces conservative?
Requiem
 one year ago
Given F1=2xi2yzjy^2k and F2=yixj, Are these forces conservative?

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Requiem
 one year ago
Best ResponseYou've already chosen the best response.0I want to use the method of curl F, where the operator multiplied by F would tell me if it is conservative IF it equals 0

ybarrap
 one year ago
Best ResponseYou've already chosen the best response.0$$ if~ g(x,y,z)=x^2y^2zy^3/3\\ then ~\nabla g=F_1 $$ So F1 is conservative. For F2: $$ \partial M/\partial y=1\\ \partial N/\partial x=1 $$ Since these are not equal, F2 is not conserviative.

Requiem
 one year ago
Best ResponseYou've already chosen the best response.0I need those steps broken down alittle more please if you can

sara17
 one year ago
Best ResponseYou've already chosen the best response.0you should take curl of those force f1 is concerviative because: ((d/dy)(y^2)(d/dz)(2yz))i+((d/dz)(2x)(d/dx)(y^2))j+((d/dx)(2yz)(d/dy)(2x))k 2y+2y+0+0=0 so f1 is concervative

sara17
 one year ago
Best ResponseYou've already chosen the best response.0but f2 is not concervative because curl f2=2
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