Elastic collisions inside a hollow cilinder

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Discussion Overview

The discussion revolves around a problem involving elastic collisions within a hollow cylinder, specifically focusing on the dynamics of a disc inside the cylinder after multiple collisions. The problem is presented as a creative challenge rather than a homework assignment, emphasizing the need for reasoning and exploration of the concept of elastic collisions.

Discussion Character

  • Exploratory, Technical explanation, Conceptual clarification

Main Points Raised

  • One participant expresses interest in solving a specific problem from Wopho's Problems, which involves determining the velocities of a disc and a hollow cylinder after elastic collisions.
  • Another participant attempts to apply trigonometric functions (theta=0, sine, and cosine) to analyze the problem but reports failure in their approach.
  • A participant reiterates the need for assistance, indicating urgency in finding a solution.
  • A post provides context about the competition rules, stating that solutions must be individual and not collaborative.

Areas of Agreement / Disagreement

Participants do not appear to reach a consensus on the approach to solving the problem, and multiple viewpoints regarding methods and reasoning remain present.

Contextual Notes

The discussion lacks detailed assumptions about the initial conditions of the system, such as the initial velocities and angles of the disc and cylinder, which may affect the analysis of the collisions.

gabrielbhl
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Hi everybody.
That's my first (of many) post here!
I'm a brazilian guy who is trying o solve de Wopho's Problems.
And onde of then called my attention for the criativity using an (theoterically) easy concept of elastic collision.
The problem is the second http://wopho.org/selection-downloadproblem.php?id=3

I have an hollow cylinder and an disc inside it with V_o and I (and the problem) ask you what wiil happens after de collisions (that is: the velocity of the disc and cylinder after the first e nth collision)
I'm really needing some help in this excellent problem, but that is not my homework, and yes a good problem which requires reasonig.
Any idea??

Thank's for the attention and sorry for my bad english!
 
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I've tryied using theta=0 and then put some sen and cos but I failed!



In my opinion, that is the best collision problem ever
 
Anyone?? Please i need your help!
 
"The competition is for individuals, solutions sent by group of students are not accepted.

All participants must solve the problems individually. The problems can be downloaded from the problem section of the WoPhO Selection Round webpage"
 

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