Solve system of equations

  • Thread starter usn7564
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  • #1
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Homework Statement


It's a longer problem but all that's left is:

[tex]y = k^2 \frac{1-cos(\theta)}{2}[/tex]
[tex]x = k^2 \frac{\theta - sin(\theta)}{2}[/tex]

I want to find a k that solves the equations for the point [tex](x, y) = (x_0, y_0)[/tex]

The Attempt at a Solution


I manipulated them to get two expressions for k, putting them = eachother and simplifying I get

[tex]2(\theta-sin(\theta)) = 1 - cos(\theta)[/tex]
And now I'm completely stuck, how on Earth do I go about finding what theta is?
 
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Answers and Replies

  • #2
SteamKing
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You can always iterate, picking a trial solution value for theta: remember to use radians.
 
  • #3
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Yeah, that's an option of course. I wonder if that's what the book did, would mean that theta is some relatively nice number I could just find by brute forcing it.
Will give it a go tomorrow, calling it a day for now.
 

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