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theEric
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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:
 11 months ago
 11 months ago
theEric Group Title
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:
 11 months ago
 11 months ago

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theEric Group TitleBest ResponseYou've already chosen the best response.0
One moment!
 11 months ago

theEric Group TitleBest ResponseYou've already chosen the best response.0
(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!
 11 months ago

Saeeddiscover Group TitleBest ResponseYou've already chosen the best response.1
You can use this relation
 11 months ago

Saeeddiscover Group TitleBest ResponseYou've already chosen the best response.1
dw:1379923967464:dw
 11 months ago

theEric Group TitleBest ResponseYou've already chosen the best response.0
Ah, thank you very much Saeeddiscover!
 11 months ago

Saeeddiscover Group TitleBest ResponseYou've already chosen the best response.1
Hold on a moment!
 11 months ago

theEric Group TitleBest ResponseYou've already chosen the best response.0
Does that work out? Is the \(x\) in \(F_x=F_0+c\large x\) a function of \(t\)?
 11 months ago

Saeeddiscover Group TitleBest ResponseYou've already chosen the best response.1
For the second one, you may consider this way as well: dw:1379924739346:dw
 11 months ago

theEric Group TitleBest ResponseYou've already chosen the best response.0
Thank you!
 11 months ago

Saeeddiscover Group TitleBest ResponseYou've already chosen the best response.1
Please wait a moment. I got a mistake!
 11 months ago

theEric Group TitleBest ResponseYou've already chosen the best response.0
Okay! If it's in that last part, I can't find it because I don't know that material yet!
 11 months ago

Saeeddiscover Group TitleBest ResponseYou've already chosen the best response.1
dw:1379925139264:dw
 11 months ago

Saeeddiscover Group TitleBest ResponseYou've already chosen the best response.1
dw:1379925286166:dw
 11 months ago

theEric Group TitleBest ResponseYou've already chosen the best response.0
That all makes sense, thank you! I'll try to apply those to my problems soon!
 11 months ago

theEric Group TitleBest ResponseYou've already chosen the best response.0
I think I need to head to bed, though...
 11 months ago

theEric Group TitleBest ResponseYou've already chosen the best response.0
Thanks again! :)
 11 months ago

Saeeddiscover Group TitleBest ResponseYou've already chosen the best response.1
Both 1 and 2 you are given simply can be solved using the last equation I gave you. It is true and works properly.
 11 months ago

theEric Group TitleBest ResponseYou've already chosen the best response.0
Great! I will use that, then! Have a good day!
 11 months ago
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