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Math Help - Collision bounce angle.

  1. #1
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    Collision bounce angle.

    What is the proper way to convert a angle correctly when bouncing out of a circular area?

    I am able to get the bounce angle of a flat surface by reversing the angle but when you hit a circular area it has been more of a challenge. Could some one recommend some website/tutorial where I can find more information about this issue?
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  2. #2
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    Hello fusionpixel

    Welcome to Math Help Forum!
    Quote Originally Posted by fusionpixel View Post
    What is the proper way to convert a angle correctly when bouncing out of a circular area?

    I am able to get the bounce angle of a flat surface by reversing the angle but when you hit a circular area it has been more of a challenge. Could some one recommend some website/tutorial where I can find more information about this issue?
    It's very straightforward: draw the tangent to the circle at the point of contact, and treat the bounce as if the ball had hit the (straight line) tangent instead.

    Grandad
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  3. #3
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    Quote Originally Posted by fusionpixel View Post
    What is the proper way to convert a angle correctly when bouncing out of a circular area?

    I am able to get the bounce angle of a flat surface by reversing the angle but when you hit a circular area it has been more of a challenge. Could some one recommend some website/tutorial where I can find more information about this issue?
    Bouncing off a circular surface, concave or convex is treated in a similar manner.
    You need to know the center of the circle, radius & point of contact.
    Google for ray tracing. [Google is now a verb?]
    This is one result:Curved mirror - Wikipedia, the free encyclopedia
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  4. #4
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    Hello everyone
    Quote Originally Posted by aidan View Post
    Bouncing off a circular surface, concave or convex is treated in a similar manner.
    You need to know the center of the circle, radius & point of contact.
    Google for ray tracing. [Google is now a verb?]
    This is one result:Curved mirror - Wikipedia, the free encyclopedia
    Forgive my being a bit pedantic here, but all you need to know is the direction of the tangent or the normal to the curve at the point of contact. The normal will, of course, pass through the centre of curvature. So if you know the position of the centre that is sufficient, but it's not necessary. The incident and reflected rays will make equal angles with the normal (as indeed they will with the tangent).

    Grandad
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