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    Calculate the work done by the force field F(x,y,z)=(y^2,z^2,x^2) along the curve of intersection of the sphere x^2+y^2+z^2=1, the cylinder x^2+y^2=x, and the halfspace z>0. The path is traversed in a direction that appears clockwise when viewed from the high above the xy-plane.

    How do I even find the path for starters... after that it is straight forward.

    I know what the sphere would look like in the xyz plane but not the cylinder. How do you sketch the cylinder?
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    (Original post by cooldudeman)
    Calculate the work done by the force field F(x,y,z)=(y^2,z^2,x^2) along the curve of intersection of the sphere x^2+y^2+z^2=1, the cylinder x^2+y^2=x, and the halfspace z>0. The path is traversed in a direction that appears clockwise when viewed from the high above the xy-plane.

    How do I even find the path for starters... after that it is straight forward.

    I know what the sphere would look like in the xyz plane but not the cylinder. How do you sketch the cylinder?
    simultaneous equations?
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    (Original post by TeeEm)
    simultaneous equations?
    Ok so subbing in the cylinder equation the way it is written to the sphere gives x+z^2=1 which would some kind of parabola. What variable do you rearrange this new equation to?
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    (Original post by cooldudeman)
    Ok so subbing in the cylinder equation the way it is written to the sphere gives x+z^2=1 which would some kind of parabola. What variable do you rearrange this new equation to?
    some parametric representation
    when you need the parameter ends
    start and finish for t
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    (Original post by TeeEm)
    some parametric representation
    when you need the parameter ends
    start and finish for t
    So so if we rearrange it to x=1-z^2, so let r(t)=1-t^2 but I have no idea how to find the limits...

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    (Original post by cooldudeman)
    So so if we rearrange it to x=1-z^2, so let r(t)=1-t^2 but I have no idea how to find the limits...

    Posted from TSR Mobile
    I need to look at the question in detail (sometime tomorrow afternoon) as I am in the middle of my own work and also helping another individual.

    atsruser is around and can help you at present.
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    (Original post by TeeEm)
    I need to look at the question in detail (sometime tomorrow afternoon) as I am in the middle of my own work and also helping another individual.

    atsruser is around and can help you at present.
    Ok ill try PM him

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    (Original post by cooldudeman)
    Ok ill try PM him

    Posted from TSR Mobile
    he replied to your post
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    (Original post by TeeEm)
    he replied to your post
    Turns put he's busy too. Damn oh well.

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    (Original post by cooldudeman)
    Turns put he's busy too. Damn oh well.

    Posted from TSR Mobile
    I am looking at the question now
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    (Original post by cooldudeman)
    Turns put he's busy too. Damn oh well.

    Posted from TSR Mobile
    Please ignore my earlier post. I don't think it makes sense and I'm too tired to think about this now. Sorry.
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    (Original post by TeeEm)
    I am looking at the question now
    Thanks please let me know

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    (Original post by cooldudeman)
    Thanks please let me know

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    very hard to picture

    Name:  pulling20hair20out201_zpsbc251cc8.png
Views: 121
Size:  72.9 KB

    definitely I am too tired to complete this tonight
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    (Original post by cooldudeman)
    Thanks please let me know

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    very hard to picture

    Name:  pulling20hair20out201_zpsbc251cc8.png
Views: 121
Size:  72.9 KB

    definitely I am too tired to complete this tonight

    do you know what the answer is meant to be
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    (Original post by TeeEm)
    very hard to picture

    Name:  pulling20hair20out201_zpsbc251cc8.png
Views: 121
Size:  72.9 KB

    definitely I am too tired to complete this tonight

    do you know what the answer is meant to be
    I actually don't. Thanks please look at it when u can.

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    (Original post by cooldudeman)
    I actually don't. Thanks please look at it when u can.

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    can you check if this field is conservative!!!
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    (Original post by cooldudeman)
    I actually don't. Thanks please look at it when u can.

    Posted from TSR Mobile
    I got an answer of pi/4

    if my initial modelling is correct (parameterization of the path) then it is all correct.
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    (Original post by TeeEm)
    I got an answer of pi/4

    if my initial modelling is correct (parameterization of the path) then it is all correct.
    How did you find the path though?
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    (Original post by cooldudeman)
    How did you find the path though?
    I will attach my attempt and by no means solution ...

    IMG_0001.pdf
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    (Original post by TeeEm)
    I will attach my attempt and by no means solution ...

    IMG_0001.pdf
    thanks looking at it now! I'll have another solid go and see if I get the same. I'll let you know by tomorrow.
 
 
 
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