Name of the movement of a wheel

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    Movement Wheel
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Discussion Overview

The discussion centers around identifying the type of movement exhibited by a wheel when it is in motion, particularly focusing on the path traced by a point on the wheel's circumference as it rolls along a surface. Participants explore various aspects of this motion, including its mathematical representation and related concepts.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • One participant seeks clarification on the name of the movement of a wheel as it moves a vehicle, describing it in terms of a crawling motion.
  • Another participant suggests that the vertical motion of the wheel is simple harmonic motion and speculates about the horizontal motion possibly being harmonic as well.
  • A participant expresses interest in the specific motion of the point of the wheel that touches the ground, indicating a desire for a clearer understanding of its path.
  • One participant proposes that the curve traced by the point on the wheel is a cycloid, which is defined as the path traced by a point on the circumference of a moving wheel.
  • Another participant draws a comparison between the motion and a sine squared graph, suggesting a mathematical representation of the motion.
  • Several participants share links to external resources that may provide further explanations of the concepts discussed.

Areas of Agreement / Disagreement

Participants express varying degrees of agreement on the identification of the cycloid as the path traced by the wheel's point of contact with the ground, but there is no consensus on the broader classification of the wheel's motion. Some participants propose different mathematical interpretations and representations of the motion.

Contextual Notes

There are unresolved aspects regarding the definitions and mathematical representations of the motions discussed, as well as the specific conditions under which these motions are analyzed.

Who May Find This Useful

This discussion may be of interest to individuals studying mechanics, mathematics related to motion, or those curious about the physics of rolling objects.

usrhlp
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I would really like someone to answer this simple question.

I have searched the net and i cannot find the answer, i know i have only just read it but i can't remember where.

Basically all i want to know is the name of the movement of a while when it is moving a vehicle (i don't mean around in a circle, it's the one where it arches over on each movement, like crawling when you drag your arms back, they remain still but your body moves forwards).

Also can you show me a website that explains it? Just the website that explained would be fine but if you can explain it here i will be more than grateful.

Thanks
Dean
 
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Thank you sir, that is almost what i was looking for, it isn't exactly it but it may help me find what i need!

Im mainly thinking about the movement of the part of the wheel that touches the floor.

ill draw a picture and upload it if i can. Dont laugh at my van gogh artist skills! :smile:

Basically I am interested in the Red point of the wheel in that diagram. What is that motion / path of that point of the wheel called when it turns round and drives a machine?

I hope the picture can help explain what i am trying to get at! :)
 

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That looks a bit like a sin^2 graph to me.

If you plotted y= (sinx)^2 then you would get something very similar to that..
 
Petrushka, I believe the curve you are looking for is a cycloid. A cycloid is the path traced out by a point on the circumference of a moving wheel. For points inside and outside the wheel, you get epi- and hypo-cycloids.
 
Absolutely BANG ON THE MONEY!
thank you sir!
i owe you a few drinks! :smile:
 
its circular motion + linear motion to get the displacement
 
usrhlp said:
Absolutely BANG ON THE MONEY!
thank you sir!
i owe you a few drinks! :smile:

I'm known for not refusing such offers :-p
 

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