Recent content by Alpha Floor

  1. A

    Tail-Mounted Engines: Advantages and Disadvantages

    You mean that a wing mounted engine will increase the speed at which flutter may occur? While this can be possible, I don't think it's much of an advantage since the lowest speed at which flutter occurs is anyway higher than any design speed.
  2. A

    Tail-Mounted Engines: Advantages and Disadvantages

    I don't see the connection. You mean less power is wasted on a tail-mounted engine than on a wing-mounted engine? I don't understand this, would you explain it better please?
  3. A

    Tail-Mounted Engines: Advantages and Disadvantages

    Advantages of tail-mounted engines: - They allow for a neat airflow around the wing, which enhances its aerodynamic properties (better performance, shorter take-off field) - In case of engine failure, the torque the remaining engine generates is less than if it was wing-mounted, hence a smaller...
  4. A

    Maximum area between two curves within a given interval

    First of all, be careful with how you define the domain for "k". You sure the upper limit is 3? Think that the lines are placed at k and k+1, so that the second line should also fall into the area bounded by both curves. You didn't really need to calculate the area bounded by the curves, that...
  5. A

    Boundary Value Problem and Eigenvalues

    You forgot to multiply by "alpha" when deriving y'(1), that's where you're missing the alpha to get your tan(z)=1/z equation
  6. A

    General physics (or EM) book using vector forms for EM

    I didn't like Alonso Finn at all I have to say, it always seemed to basic for me. I'd rather use the Berkeley Physics Course Vol 2 if you're looking for a freshman text. But don't expect too much mathematical "complexity" in a first years physics book. You may also check "Advanced Engineering...
  7. A

    Determinats,dependence, span, basis.

    I think this link might be useful to you, here I answer some of your questions... "www.physicsforums.com/showthread.php?t=590440" For now I will say you're mixing up concepts. A determinant itself has nothing to do with linear dependence or with basis... a determinant is simply a number...
  8. A

    Are these subspaces a vector space?

    I'm very glad that my explanation was useful to you. It seems that my explanation was "too good" because I've received a warning from "micromass" for doing your homework. Next time my explanations will be worse in order to make things less clear. I tried to reason that I don't consider my...
  9. A

    Favorite read-with-tea Physics Books

    Not a "read with tea", but quite easy going, are the Feynman Lectures on Physics
  10. A

    Are these subspaces a vector space?

    Exactly :cool: That definition is completely right, the dimension of a subspace is the number of vectors needed to form a basis. In order to understand the concept of dimension you have to distinguish between "basis" and "generating system" (if that last term is a correct translation from...
  11. A

    Understanding Navier-Stokes Equation

    I'll try to explain as best as I can in plain words. First of all, the Navier-Stokes equations are valid as long as we can apply the continuum hypothesis, which is the most basic hypothesis in continuum mechanics. It assumes that the characteristical distances of the problem are much larger...
  12. A

    Are these subspaces a vector space?

    a) Yes, but dimension is 2 b) No c) Yes, dimension = 1 I like to think of subspaces as planes or lines, like this: The subset of all vectors (x,y,z) with z=0 is the x-y plane. This plane contains the origin, thus it is a subspace of R^3. It's dimension is 2 because you only need 2 coordinates...
  13. A

    When do you use ≡ and = in equations?

    I have also seen \equiv used a lot as "equivalent to". For example, if you have two systems of equations S1 and S2 that have the same set of solutions, you can write S1 \equiv S2, but not S1=S2 because strictly speaking they are different systems. Also I've seen it used for combining written...
  14. A

    Unfamiliar formulation of Stokes Problem

    \nabla^Tv denotes the TRANSPOSE of \nabla v If you sum them both and divide by 2, you get a symmetrical tensor called the "rate of stain tensor", let's call it ε For an incompressilble flow (\nabla · v = 0) the law that relates the "viscous stress tensor σ" (I think this one is also called...
  15. A

    Which one is the best textbook for self-studying differential equations?

    I'd say you go to a library (of any nearby university) and check them out for yourself. Those are, as you say, pretty standard texts and won't be difficult to find. Have a look at them first, decide which one you like best, and then buy if you have to. In my opinion, the best of those you...
Back
Top