Quantcast

A community for students. Sign up today!

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

paglia

  • 2 years ago

Consider an object describing an elliptical path in the plane given by r (t) = (2 cos t, 6sin t), where t is in the interval [0, 2]. if the object is subjected to a field with a force given by the expression G (x, y) = (4xy, y^2), calculate the work done by G to move the object along the trajectory from (2, 0) to (0, 6), in direct order.

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

    \[W = \int\limits Gdr\]

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

    just not sure which expression will make easyer to calculate the dot product, paramtric or cartesian.

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

    probably parametric

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

    I tried parametric, though it would be easier.

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

    Use Polar Coordinate x(t)= 2 cos(t) y(t)= 6 sin(t) P = 4 x y Q = y^2 Compute P(x(t),y(t)) x'(t) + Q(x(t),y(t))x'(t)=120 cos(t) sin^2(t) Integrate the last expression for t= to Pi/2 to obtain 40

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

    This Q(x(t),y(t))x'(t) should be Q(x(t),y(t))y'(t)

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

    Search OpenStudy
    • Attachments:

Ask your own question

Ask a Question
Find more explanations on OpenStudy

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.