Quantcast

Got Homework?

Connect with other students for help. It's a free community.

  • across
    MIT Grad Student
    Online now
  • laura*
    Helped 1,000 students
    Online now
  • Hero
    College Math Guru
    Online now

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

gerryliyana Group Title

Solve the semi-imfinite plate problem if the bottom edge of width 20 is held at T = 0o for 0 < x < 10, and T = 100o for 10< x<20. And the other sides are at 0o

  • one year ago
  • one year ago

  • This Question is Closed
  1. gerryliyana Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    Solve the semi-imfinite plate problem if the bottom edge of width 20 is held at: \[T = 0^{o} \rightarrow 0 < x < 10\]\[T = 100^{o} \rightarrow 10 < x < 20\] and the other sides are at \(\ 0^{o}\)

    • one year ago
  2. gerryliyana Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    |dw:1366518323249:dw| @oldrin.bataku hbu mate ??

    • one year ago
  3. gerryliyana Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    have idea ?? i'm little bit confused for \(\ 100^{o}\) ---> 10 < x < 20..,

    • one year ago
  4. LolWolf Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    Is this similar to the Fourier heat problem?

    • one year ago
  5. mukushla Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    gerry this is the same problem except that boundary condition for bottom edge

    • one year ago
  6. mukushla Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    we had (note that 10 turens to 20)\[T = \sum_{n=1}^{\infty} a_ne^{-\frac{n \pi}{20} y} \sin (\frac{n \pi}{20} x)\]now for evaluating \(a_n\) using fourier series\[T = 0 \rightarrow 0 < x < 10 \\ T = 100 \rightarrow 10 < x < 20 \\ \ \ @ \ \ y=0\]so\[a_n=\frac{2}{20} (\int_{0}^{10} 0 \times \sin (\frac{n \pi}{20} x) \ \text{d}x+\int_{10}^{20} 100 \times \sin (\frac{n \pi}{20} x) \ \text{d}x)\]\[a_n=\frac{1}{10} \int_{10}^{20} 100 \times \sin (\frac{n \pi}{20} x) \ \text{d}x=...\]makes sense?

    • one year ago
    • Attachments:

See more questions >>>

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.