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|    sci.physics.research    |    Current physics research. (Moderated)    |    17,516 messages    |
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|    Message 16,093 of 17,516    |
|    Luigi Fortunati to All    |
|    Re: The tires on the asphalt    |
|    08 Apr 18 20:23:17    |
      From: fortunati.luigi@gmail.com              Luigi Fortunati domenica 08/04/2018 alle ore 01:24:36 ha scritto:       > Thomas Koenig mercoled=EC 04/04/2018 alle ore 09:35:02 ha scritto:       >> Well, you have removed most effects of what will happen from consideratio=       >> n; the only major effect left (that I can think of) is viscoelasticity.       >>       >> Rubber can be quite elastic for short deformations; a force applied only       >> for a short time, and then removed, will lead to a smaller deformation       >> than a force applied for a longer time.       >>       >> So, for this, the tread will be deformed a little less, so the vehicle       >> will rise a bit.       >       > Your answer is the exact confirmation of what I expected: the vehicle       > in speed tends to rise a little, that is to weigh less against the       > asphalt, compared to the stationary car.       >       > [[Mod. note -- The vehicle's weight will be unchanged (assuming the       > road to be straight & flat (neither curving-up nor curving-down).       > As Thomas Koenig explained, this *same* weight will lead to a smaller       > tire deformation at high speed.       > -- jt]]              It is undoubtedly true that the weight of the car in motion is always       the same, but the moving car distributes its weight on a wider surface       of the ground (with respect to the stationary car).              The tread works like a spring and then we can apply Hooke's law to its       compression: the compressed tread of 2 millimeters exerts at its ends a       force *less* than a third, compared to the same tread compressed by 3       millimeters.              Therefore, when the car is stationary, the compressed tread exerts a       force upwards of 3.              For the third principle *also* the stationary car exerts a force of 3       on the tread.              When the car is running, the compressed tread exerts a force upward of       2.              For the third principle *also* the car exerts a force of 2 on the       tread.              Even if the weight of the car is still the same, for the asphalt the       car in motion is lighter.              [[Mod. note -- The car is (by assumption) not accelerating vertically.       Therefore (Newton's 2nd law, F = ma) the net vertical force on the car       must be zero. This net vertical force is the sum of a downward force       (mg) due to the Earth's gravity, and an upward force F_contact exerted       by the road on the car tires. Therefore F_contact must equal mg.       By Newton's 3rd law F_contact must be equal in magnitude to the       downward force the car tires exert on the road.              Since F_contact = mg, this force is independent of the car's speed.       -- jt]]              --- SoupGate-Win32 v1.05        * Origin: you cannot sedate... all the things you hate (1:229/2)    |
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