Recent content by schmiggy

  1. schmiggy

    Mechanical energy equation for flow b/n 2 points

    Hi Chet, thanks again for the reply. I've taken another look at the problem and my equation, can't we assume the velocity term is 0, because the points are taken at the surface level and we assume that the tank and creek are large enough that the surface velocity is unaffected by the flow...
  2. schmiggy

    Mechanical energy equation for flow b/n 2 points

    Sorry Chet - original post has been updated with the relevant diagram. Thanks!
  3. schmiggy

    Mechanical energy equation for flow b/n 2 points

    Homework Statement a) Write down the steady-state mechanical energy equation for flow from point (1) (located at the free surface of the creek) to point (2) located at the free surface of the tank. For the purposes of this problem you can assume the pressures at both points are atmospheric...
  4. schmiggy

    Optimising Support Location - Bending moments

    Homework Statement Firstly, I know posting images and asking for help is generally frowned upon, however in this case given the number of diagrams and equations involved I'm hoping it's warranted. So we're given a diagram as at the top of the attached image and we're asked, given most of the...
  5. schmiggy

    Solve Laplace Transform of Diff. Equation: x(t) with ICs x(0)=-2, dx/dt(0)=8

    Righto, I'll try break it down into steps, starting with a basic example before showing how I got the one you're asking about. Let's start with: \frac{8}{(s+4)^2} Now, we obviously can't do a straight transform, so we need to break it up into parts we can. The easiest way to identify the...
  6. schmiggy

    Solve Laplace Transform of Diff. Equation: x(t) with ICs x(0)=-2, dx/dt(0)=8

    You need to read up on the s-shifting theorem, the second term once you've applied s-shift becomes: 3t^{2}e^{-2t} You were correct that your "n!" wasn't correct, but always work with the base. So our base was s^3, and the formula was s^(n+1), which means n = 2. If n = 2, then the numerator...
  7. schmiggy

    Solve Laplace Transform of Diff. Equation: x(t) with ICs x(0)=-2, dx/dt(0)=8

    You'll get a better definition of the s-shifting theorem if you watch a youtube video or read about it (also known as first shifting theorem) but I can try demonstrate by example. \frac{4}{(s+2)^2} Pretend the inner term on the denominator isn't there initially, so the term would become...
  8. schmiggy

    Solve Laplace Transform of Diff. Equation: x(t) with ICs x(0)=-2, dx/dt(0)=8

    L[y] is the laplace transform. L[y] shouldn't disappear. Also you've done the inverse laplace of the RHS prematurely. You need to divide the LHS by (s + 2)^2 to get it to the RHS and L[y] by itself. Before doing that though you need to combine \frac{6}{s + 2} -2s into one term. The final...
  9. schmiggy

    Solve Laplace Transform of Diff. Equation: x(t) with ICs x(0)=-2, dx/dt(0)=8

    Ahhh Laplace.. the bane of my existence.. Firstly, I am not a homework helper so take what I have written with caution and wait for confirmation from someone more qualified. Secondly, the wiki page is correct for first and second diff. I can't comment on your textbook as I've never used it...
  10. schmiggy

    Laplace transforms to solve linear ODE's

    Hi, thanks for the reply, and sorry about the format, I honestly thought that would be ok having the question and attempt all in one place. As for the mistake, I had a feeling I couldn't do that, however I don't really know how else I could do it.. my basic arithmetic/algebra skills are really...
  11. schmiggy

    Laplace transforms to solve linear ODE's

    *edit* can't upload images from phone with app for some reason, finding a computer. Using the app for the first time so hopefully this works out ok.. I've attached an image with the problem written in blue, and a complete attempt in gray. I have the answer to the question however it is...
  12. schmiggy

    Nonlinear system phase portraits

    Homework Statement See attached image Homework Equations Classification of critical points chart (unless you remember it) The Attempt at a Solution See attached. Now, I'm not entirely sure what exactly I'm doing. With linear systems, the goal is to find the eigenvectors...
  13. schmiggy

    Gauss's theorem to find flux of field

    I accidentally edited your quote when I was playing around with the latex seeing how it works, my bad! I also accidentally left the d(phi) at the end. I've edited my previous post and that should be correct.. I hope.. or else I'll have a serious case of egg on my face
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