Quantcast

A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

theEric

  • 2 years ago

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:

  • This Question is Closed
  1. theEric
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    One moment!

  2. theEric
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 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!

  3. Saeeddiscover
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    You can use this relation

  4. Saeeddiscover
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    |dw:1379923967464:dw|

  5. theEric
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Ah, thank you very much Saeeddiscover!

  6. Saeeddiscover
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Hold on a moment!

  7. theEric
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Okay!

  8. theEric
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Does that work out? Is the \(x\) in \(F_x=F_0+c\large x\) a function of \(t\)?

  9. Saeeddiscover
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    For the second one, you may consider this way as well: |dw:1379924739346:dw|

  10. theEric
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Thank you!

  11. Saeeddiscover
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Please wait a moment. I got a mistake!

  12. theEric
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Okay! If it's in that last part, I can't find it because I don't know that material yet!

  13. Saeeddiscover
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    |dw:1379925139264:dw|

  14. Saeeddiscover
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    |dw:1379925286166:dw|

  15. theEric
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    That all makes sense, thank you! I'll try to apply those to my problems soon!

  16. theEric
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    I think I need to head to bed, though...

  17. theEric
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Thanks again! :)

  18. Saeeddiscover
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 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.

  19. theEric
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Great! I will use that, then! Have a good day!

  20. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.