Calculating Triangle-Wall Collision Reaction: Speed, Angle & Velocity"

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Discussion Overview

The discussion focuses on calculating the reaction of a triangle upon colliding with a wall, specifically examining the angular and linear velocities after the collision. The context is set in a 2D environment, and participants explore various factors influencing the collision dynamics, including material properties and collision types.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant inquires about the necessary parameters for calculating the reaction, such as the triangle's material properties, type of collision, and friction involved.
  • Another participant clarifies that the triangle is a rigid equilateral shape in a 2D environment with no friction, and provides specific values for speed and mass.
  • A different viewpoint suggests simplifying the triangle to a point mass for analysis, emphasizing the separation of forces in the triangle's reference frame.
  • Concerns are raised about the implications of angular momentum and the nature of the collision, particularly regarding whether friction is considered and how it affects the collision dynamics.
  • Participants discuss the potential for angular momentum to influence the outcome of the collision, noting that classical values may not significantly alter the geometric results.

Areas of Agreement / Disagreement

Participants express differing views on the importance of friction and the role of mass in the collision dynamics, indicating that multiple competing perspectives remain unresolved.

Contextual Notes

Limitations include assumptions about the triangle's material properties, the nature of the collision (elastic vs. inelastic), and the effects of friction, which are not fully defined or agreed upon.

pf_001
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Hi, how can I calculate the reaction a triangle with a certain speed and angle has upon hitting a wall?

I wish to be able to know the angular and linear velocity it has after the collision.

Thanks in advanced.
 
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More information needed. Like Triangle (what is it made of, elastic inelastic etc) angle of impact (plane vs. wall), type of collision, any friction involved?, this kind of stuff.
 
I guess I should've said that this is in a 2D environment. It's just a rigid equilateral triangle, no friction, any angle.
 
Maybe this picture can help.

http://img715.imageshack.us/img715/1409/collision.png

The speed the triangle has before the collision is 1m/seg and its mass is 2kg.
 
Last edited by a moderator:
In this case you can simplify everything, drop the mass as it is useless, the triangle can be seen as a point mass object with 3 weightless bars around it. You can start by separating the forces on Ox and Oy (triangle reference frame is best Oy being between center and corner) then Ox will drive the angular component and Oy will be the ellastic collision.

A further complication as in the above picture is if the angular from the first collision drives the tringle with another corner into the wall. That is where the fun stops. :P
 
I started to type a "the fun would stop when" bla bla, then I realized... I was saying the same thing as Lok, but with a lesser understanding of the underlying theory!
 
pf_001 said:
I guess I should've said that this is in a 2D environment. It's just a rigid equilateral triangle, no friction, any angle.

Btw. are you sure you want no friction or just no air friction, as that would mean the corner hits the wall, slips along it and the side slams finally into the wall transforming any angluar momentum gained into an elastic collision, aka just a simple almost vertical bounce.

As you have seen speed and mass, play little importance to the geometric outcome of the collision. Any classical value will have the same angle and angular momentum (proportional to the speed). But for simplicity's sake get some unitary values.
 

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