What Part of a Ball Hitting a Parabola Hits the Focal Point?

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When a 1" ball strikes the inside of a parabola, the point of contact with the focal point depends on the angle of approach. If the ball travels along the parabola's axis, it will hit the focal point at its center. However, in other scenarios, the ball can strike the focus with its edge or may even miss it entirely. The discussion highlights that there is no definitive answer, as the outcome varies based on the angle of the ball's trajectory. Overall, the relationship between the ball's contact point and the focal point is complex and influenced by its path.
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1" ball hitting Parabola

If a 1" ball hits the inside of a parabola, what part of the ball hits the focal point?
Is it the edge that strikes the inside of the parabola or the center of the ball?
Thank You
 
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What are your thoughts on the matter?
 


I think it would be the outer edge of the ball.
 


I modeled the problem using rhino geometry. Attached 1 pic with a ball crossing the focus.
There is no exact answer.

If the ball follows the parabola axis it will hit dead center (obvious).
But in all other situations, the ball might cross the focus or even miss it completely.
The ball can hit the focus with it's side given certain conditions.
 

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  • Paraball.jpg
    Paraball.jpg
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Lok said:
I modeled the problem using rhino geometry. Attached 1 pic with a ball crossing the focus.
There is no exact answer.

If the ball follows the parabola axis it will hit dead center (obvious).
But in all other situations, the ball might cross the focus or even miss it completely.
The ball can hit the focus with it's side given certain conditions.
Cool. But I don't see from your diagram under what circumstances it would miss the focus completely.
 


Thank You...

I am attaching an image that represents a 1" ball bearing hitting the inside of a parabola.
Which line represents the passage through the focal point, center or edge? Is the result always the same no matter where the bearing hits the side?
 

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  • Parabola7.7x4.jpg
    Parabola7.7x4.jpg
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DaveC426913 said:
Cool. But I don't see from your diagram under what circumstances it would miss the focus completely.

For ball flying parallel to the axis there are only center to side solutions. But for different angles it is not true. The problem did not specify parallelism though.
 
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