Can Wheels Increase Velocity When Separated From Vehicle?

AI Thread Summary
The discussion explores whether a wheel's forward velocity can increase after being separated from a moving vehicle. While some argue that this is unlikely unless the wheel is rolling downhill, others suggest that temporary accelerations could occur due to the tire's elastic response to bumps or the influence of a tailwind. The conversation highlights the complexity of the scenario, indicating that various factors could affect the wheel's motion post-separation. Overall, the consensus leans towards the idea that significant increases in velocity are improbable under normal circumstances. The topic raises interesting questions about the physics of motion and external influences on separated objects.
kurumaas
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Is it possible for a wheels forward velocity to increase when separated from a moving vehicle? If so please describe what makes this possible?
 
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I would say not unless it's going down hill. However, if you're in the vehicle, you are most likely going to come to a stop and watch that wheel roll ahead of you.
 
It's not necessarily that cut-and-dried. I'm wondering if there might be small temporary accelerations from the elastic effect of the tire in reaction to certain types of bumps. A good tailwind might provide the same. :confused:
 
I have recently been really interested in the derivation of Hamiltons Principle. On my research I found that with the term ##m \cdot \frac{d}{dt} (\frac{dr}{dt} \cdot \delta r) = 0## (1) one may derivate ##\delta \int (T - V) dt = 0## (2). The derivation itself I understood quiet good, but what I don't understand is where the equation (1) came from, because in my research it was just given and not derived from anywhere. Does anybody know where (1) comes from or why from it the...
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