Ball Drop Phenomenon: Designing a Multi-Ball System for Maximum Elevation

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The discussion centers on the ball drop phenomenon, where a smaller ball stacked on a larger one can achieve greater elevation when dropped onto a hard surface. Participants are encouraged to investigate this effect and design a multi-ball system, using up to four balls, to maximize the height of the top ball. Relevant resources are shared to aid in understanding the physics behind the phenomenon. There is a question raised about whether this topic relates to the IYPT question for 2008. The exploration of this phenomenon could lead to interesting insights in physics and engineering design.
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sombodyyyyyyyyy hellllllllllp me

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When a large ball is dropped, with a smaller one stacked on top of it, onto a hard surface, the smaller ball will often rise much higher than it would if dropped onto the same surface by itself while the larger ball hardly bounces at all. Investigate this phenomenon and design a multiple-ball system, using up to 4 balls, that will reach the greatest elevation of the top ball.
 
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ahh. is this the IYPT question for 2008. ?
 
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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