Recent content by exidez

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    Calculating Mass Moment of Inertia for a Roller Door

    This is not a question from any textbook or assignment. It is a concept question in order to get a task done. I need to size a motor but just need to confirm my suspicion. I am sizing a motor needed to open/close a roller door that curls around a drum. Not one of those modern ones. I need to...
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    Spatial Frequency Transform by doing FFT twice ?

    ok, that makes a lot more sense. I guess I was fixed on the idea that it was one dimensional that I missed all the references to 2D. zero padding is just for computer efficiency is that correct? or is it more to it than that?
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    Spatial Frequency Transform by doing FFT twice ?

    Spatial Frequency Transform by doing FFT twice ?? This is for my own knowledge in relations to acoustics. I am trying to determine the location of sound using an array of sensors. Very similar to what they are doing in the webpage given. Im looking at the material at...
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    Matrix equation, solving for x(t)

    this comes strait from a textbook: http://higheredbcs.wiley.com/legacy/college/nise/0471794759/appendices/app_i.pdf I am looking at how they obtained (I.24) from (I.25) on page 3 and 4. Firstly we have: e^{-\textbf{A}t}x(t)-x(0)=\int{e^{-\textbf{A}t}\textbf{Bu}(\tau)d\tau} Then this...
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    How are equations used to derive the final solution in this image?

    ahhhhh yes. Then i get a term involving \ddot{x}, take it over the other side, factor the common \ddot{x} out and take what is in the bracket on the other side. I got the correct answer now! Also For the \ddot{\theta}. Thank a lot for you help. It is greatly appreciated! I had learned and...
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    How are equations used to derive the final solution in this image?

    The Two equations: V-mg=m\frac{d^{2}}{dt^{2}}(Lcos(\theta)) I\ddot{\theta}+c\dot{\theta}=VLsin(\theta)-HLcos(\theta) Derevation: \ddot{\theta}=\frac{1}{I}(VLsin(\theta)-HLcos(\theta)-c\dot{\theta}) \ddot{\theta}=\frac{1}{I}(VLsin(\theta)-HLcos(\theta)-c\dot{\theta})...
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    How are equations used to derive the final solution in this image?

    The two equations: F-H=M\ddot{x}+k\dot{x}) H=m\frac{d^{2}}{dt^{2}}(x-Lsin(\theta)) Derivation: \ddot{x}=\frac{1}{M}(F-H-k\dot{x}) \ddot{x}=\frac{1}{M}(F-m\frac{d^{2}}{dt^{2}}(x-Lsin(\theta))-k\dot{x}) \ddot{x}=\frac{1}{M}(F-m\frac{d}{dt}(\frac{d}{dt}(x+Lsin(\theta)))-k\dot{x})...
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    How are equations used to derive the final solution in this image?

    it would be faster if i just took a photo of my working I changed the variable of M to Mc to ensure i wasnt getting mixed up with m. They are two different masses. A little messy but you can see how i got 1/I and 1/M...
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    How are equations used to derive the final solution in this image?

    Thanks tiny-tim, I understand it correctly now and i have the matching answer but with one tiny problems.. If you look at equation 5 and 6they have a multiplyer at the front being 1/(I+L^2m) and 1/(M+m) respectively however, when in my answers they are simply 1/I and 1/M respectively as that...
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    How are equations used to derive the final solution in this image?

    Ok so now I am lost again.. I tried... If i just work out one, i can get the other but i still can't get the one.. \frac{d^2}{dt^2}(x+Lsin(\theta)) First working out the first derivative \frac{d}{dt}(x+Lsin(\theta)) = \frac{d}{d\theta}\frac{d\theta}{dt}(x+Lsin(\theta))...
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    How are equations used to derive the final solution in this image?

    ahhh of course they are! Why do i always forget the fundamentals!
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    How are equations used to derive the final solution in this image?

    In the attached image, how are equations 1, 2, 3 and 4 used to come to the final equation of 5 and 6? I am suspecting it has something to do with the derivative with respect to t, but I don't know how they remove it to get the final solution. Am I missing something incredibly simple that is not...
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    Inverse laplace transofrm of natural logarithm

    ok, i think i got it! i go the other way and make n = -1 I have never seen this but just to clear this up: if \frac{d}{ds}}F(S) is the derivative of F(S) then \frac{d^{-1}}{ds^{-1}}F(S) is the same as the integration of F(S) right?
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    Inverse laplace transofrm of natural logarithm

    Homework Statement the inverse laplace transform of ln\frac{s+2}{s-5} using the inverse Laplace transform of the derivative Homework EquationsL^{-1}{\frac{d^{n}}{ds^{n}}F(S)} = (-1)^{n}t^{n}f(t) The Attempt at a Solution the integral of ln\frac{s+2}{s-5} I worked to be (s+2)ln(s+2)-(s+2)...
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    Double Integral - polar coordinates

    Homework Statement \displaystyle\int\int\sqrt{4-x^2-y^2} dA R{(x,y)|x^2+y^2\leq4 .. 0\leq x} The Attempt at a Solution So far i have: \displaystyle\int^{\pi}_{0}\int^{r}_{0}\sqrt{4-r^2} rdrd\theta Solving i get...
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