How Do I Solve This Webwork Problem Using Stoke's Theorem?

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AI Thread Summary
The discussion revolves around a challenging Webwork problem that the original poster has struggled with while attempting to apply Stokes' Theorem. Despite multiple attempts, they have not achieved the correct answer and seek assistance from others. The poster mentions an issue with embedding an image of the problem due to restrictions on the forum. Ultimately, they report having solved the problem and express willingness to share the solution if others are interested. The conversation highlights the collaborative nature of problem-solving in mathematics.
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http://home.comcast.net/~hedonapost/homework.gif
That is the problem. It has been driving me nuts. I have tried stoke's theorem but I cannot get the correct answer. I know this because this is a webwork problem and I have attempted it 30 times.

i would like to embed the picture of the problem but it says img code is off.
Any help would be greatly appreciated!
 
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CAn anyone figure this out?
 
For those who care I finally solved this problem. If anyone is interested in the answer please post and I will post the solution.
 
Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
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