Timeline for Kinematics of scratching a rolling tire
Current License: CC BY-SA 2.5
14 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jan 3, 2011 at 16:05 | comment | added | Noldorin | @Andy: I do indeed, in a way. ;) Just wasn't sure quite what to think of it hah. Mathematically, it's intriguing. | |
| Jan 3, 2011 at 15:19 | comment | added | Andy | @Noldorin: RE "Odd question"-- does that mean you like it? ;) | |
| Jan 3, 2011 at 15:17 | comment | added | Andy | @Greg & Marek: Your interpretations are correct. The scratch is on the side of the tire. I've edited the question to make it more clear. One answer is already posted and it looks like it's correct. Time to check. Also, sorry for the delay -- I've been out of town. | |
| Jan 3, 2011 at 15:15 | history | edited | Andy | CC BY-SA 2.5 |
Clarified the question.
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| Dec 29, 2010 at 16:31 | comment | added | Marek | @Greg: reading the question again, I think your interpretation is correct. And if meant like this, it's a much better question too. | |
| Dec 29, 2010 at 3:59 | answer | added | John Alexiou | timeline score: 2 | |
| Dec 29, 2010 at 3:26 | comment | added | Noldorin | Indeed, this is more applied mathematics than physics, though I'm not sure it's a good enough reason to close this question. It's an odd question in any case; perhaps a little clarification would help? :) | |
| Dec 29, 2010 at 1:48 | comment | added | Greg P | I had interpreted this question quite differently from Marek, actually. (It is not quite clear in the post). I thought that Andy meant that a point on the curb had scratched the SIDE of the tire, leaving a curve traced there. Something similar to a cycloid, since it is produced by a rotation superimposed on a translation (then it's still a math question...). Andy, is the scratch on the side of the tire or the tread? | |
| Dec 29, 2010 at 0:46 | comment | added | David Z | I was actually going to say, we could potentially broaden our scope to include questions such as this which are basically about applied math involving physical objects. Sometimes the hard part of asking a question of this sort is translating the physical situation into the required math, and that's where a physicist's intuition might be helpful. It could bring us more traffic too ;-) Then again, I suppose applications might be covered on math.SE too and we probably shouldn't have overlapping topics. (@Andy, if you want, you could wait a little while to see if anyone chimes in on this idea) | |
| Dec 28, 2010 at 23:53 | comment | added | Andy | The tire deformation shouldn't matter as long as the radius used is the effective tire radius. And thanks for the suggestions-- I'll post this to the math site. | |
| Dec 28, 2010 at 23:36 | comment | added | Marek | Also note that what you are looking for is not the round tire but the tire that is compressed by the weight of the car. It will be flattened on the bottom. If you then spin the wheel and move the scratch off the ground its shape will change a little. So I guess this question contains some physics after all. But most of it is math, really. | |
| Dec 28, 2010 at 23:33 | comment | added | Marek | I understand what you want, but this is not the site for that question. Try math.SE and ask for set difference of the tire and the U-shaped cylinder. If those objects can be described analytically then it's just equation solving. If not, you can still solve for it numerically. | |
| Dec 28, 2010 at 22:39 | comment | added | Malabarba | Usually, if there's no question mark in your question, than the question isn't very clear. :-) (Ok, maybe I'm generalising, but I really can't tell what you want.) | |
| Dec 28, 2010 at 22:29 | history | asked | Andy | CC BY-SA 2.5 |