theEric
  • theEric
Hi! I have to find the velocity as a function of displacement for some given force functions. Here is the question: Find the velocity \(\dot x\) as a function of the displacement \(x\) for a particle of mass \(m\), which starts from rest at \(x=0\), subject to the following force functions:
Physics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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theEric
  • theEric
One moment!
theEric
  • theEric
(a) \(F_x=F_0+cx\) (c) \(F_x=F_0\cos(cx)\) If I see the general technique, I might be able to get it! Thanks!
anonymous
  • anonymous
You can use this relation

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anonymous
  • anonymous
|dw:1379923967464:dw|
theEric
  • theEric
Ah, thank you very much Saeeddiscover!
anonymous
  • anonymous
Hold on a moment!
theEric
  • theEric
Okay!
theEric
  • theEric
Does that work out? Is the \(x\) in \(F_x=F_0+c\large x\) a function of \(t\)?
anonymous
  • anonymous
For the second one, you may consider this way as well: |dw:1379924739346:dw|
theEric
  • theEric
Thank you!
anonymous
  • anonymous
Please wait a moment. I got a mistake!
theEric
  • theEric
Okay! If it's in that last part, I can't find it because I don't know that material yet!
anonymous
  • anonymous
|dw:1379925139264:dw|
anonymous
  • anonymous
|dw:1379925286166:dw|
theEric
  • theEric
That all makes sense, thank you! I'll try to apply those to my problems soon!
theEric
  • theEric
I think I need to head to bed, though...
theEric
  • theEric
Thanks again! :)
anonymous
  • anonymous
Both 1 and 2 you are given simply can be solved using the last equation I gave you. It is true and works properly.
theEric
  • theEric
Great! I will use that, then! Have a good day!

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