Predicting Post-Impact Motion of 2D Object

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Discussion Overview

The discussion revolves around predicting the post-impact motion of a 2D object, specifically focusing on whether it will roll or bounce after colliding with a flat surface. Participants explore various factors influencing this motion, including inertia, angle of impact, and pre-impact velocities.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant inquires about the necessary parameters to predict the post-impact motion of a square object, mentioning inertia, angle of impact, and velocities.
  • Another participant questions the necessity of all mentioned parameters by suggesting a practical experiment with different materials (glass and rubber) and asks what is truly important for prediction.
  • A participant proposes an analytical approach to predict outcomes based on energy ratios, suggesting that a threshold could determine whether the object will bounce or roll.
  • One reply challenges the idea of creating a simplified analytical formula, implying that such an approach may not capture the complexities of the situation.
  • Another participant expresses the need for quantifiable results for programming purposes, indicating a desire for a simplified model despite its potential inaccuracies.
  • A later reply emphasizes the definition of rolling and points out that the motion of a square object upon impact may not meet the criteria for rolling due to its contact points not having zero velocity.
  • One participant shares personal experimental observations, noting that the angle of impact significantly affects whether the object bounces or drops without bouncing.
  • Another participant suggests utilizing existing physics engines for programming needs, indicating that there are resources available that could provide the necessary calculations.

Areas of Agreement / Disagreement

Participants express differing views on the importance of various parameters for predicting post-impact motion, with some advocating for a more analytical approach while others question its feasibility. The discussion remains unresolved regarding the best method to predict the outcomes.

Contextual Notes

There are limitations in the discussion regarding assumptions about material properties, the complexity of motion, and the definitions of rolling versus bouncing. The proposed analytical methods may depend on specific conditions that are not fully explored.

hoang anh tuan
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I have a question:
How to predict the post-impact motion of an 2D object, for example, a square, whether it will roll or bounce up, after hitting a flat surface. Given that we know the motion of inertia,angle of impact, pre-impact horizontal and vertical speed, angular velocity,? Thanks, the angle of impact a is shown below.
ppp.png
 
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Take a cylindrical rod made of glass, say 4 mm cm in diameter and 15 cm long, and let it drop from one meter height onto a massive steel slab.

Then do the same, but with a rod made of rubber.

Do you really need all the things that you mentioned to predict the outcome? What is important then?
 
What i mean is an analytical way of predicting the outcome based on numerical numbers in a form of formula, for example, comparing the ratio of the potential energy with the dissipated energy and having some kind of a bound so when the ratio crosses the bound it's either going to bounce or just roll. That is the question i was having. Thanks
 
So you would have a bogus analytic formula rather than messy truth?
 
I am using this in a program, so it has to quantify in order for me to do anything. I need a general bogus truth :)
 
If you need something bogus, feel free to invent it.

Regarding the more particular question of rolling vs bouncing, rolling by definition means that any contact points of a rolling body must be at zero velocity with whatever they are in contact with. Obviously, when a square's second vertex (per the original picture) collides with the surface, its velocity won't be zero, so the motion will be anything but rolling.
 
I have tried dropping it and sometimes it does not really bounce up but rather just drop down so the angle plays an important role. May be rolling is not the correct term to describe it.
 
hoang anh tuan said:
I am using this in a program, so it has to quantify in order for me to do anything. I need a general bogus truth :)
There are many physics engines available on the net. You can use them in your program, or look at the documentation, or directly at the source code of those which are open source.
 

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