Recent content by Noorac

Yeah, that's a good point! Thanks=)

Hi, this is a problem on center mass. Homework Statement A beam hangs straight down from a point O(O is placed at x=0 and y = 0, aka origo). The beam is attached to the point O. Beam has length L and mass M. The density of the beam is uniform, so the centermass of the beam is...

I'm going to work a bit more on it tomorrow=) Thanks for all the help!

Hmm, okey, so given that my A1 is correct, I would think I could solve Q2 like this: Velocity is the derivative of position with respect to time, so if h is the displacement: \frac{dh}{dt} = V(t) If I am correct in A1, then vr^2 = VR^2 which means \frac{vr^2}{R^2} = V(t) which...

It will help to look more clinically on what's on your paper: \int \frac{x^2}{x^3-1} dx = \int \frac{x^2 dx}{x^3-1} Now sub x^3 -1 with u. This means you got u = x^3 -1 and also du = 3x^2dx which means that \frac{du}{3} = \frac{1}{3} du =x^2 dx Now look at your integrand, and...

Hi, this is some questions about fluid dynamics(mostly). There are three somewhat connected questions here, I will try to organize it as best as I can. Homework Statement A sylindrical tank filled with water is standing on a table, the tank has a small hole at the side of the tank at the very...

Yeah, the next task was somewhat similar, same objective, and it took only 3 minutes compared to the 3-4 hours of the last one =) Now it's on to triple-integrals and what will probably be the most fun weekend since school ended before christmas! Again, thanks=)

There! At least I got to the same answer as Wolfram Alpha; I = \sqrt{\pi}e^{3} I hope it is correct. The steps I did after changeing variables r^2=(x+2)^2 + (y+2)^2 was substituting u=r^2 \frac{du}{dr}= 2r du = 2rdr dr = \frac{du}{2r} And just left the 6-constant alone all...

Tried that earlier on, but didn't get anywhere with it. Been trying it some more now, but I still don't see it though. I don't see the next step, I'm going to try some more though=) Thanks

Homework Statement Find the Gaussian integral: I = \int_{-\infty}^{\infty} e^{-x^2-4x-1}dx (That's all the information the task gives me, minus the I=, I just put it there to more easily show what I have tried to do) 2. The attempt at a solution I tried to square I and get a double...

f(x) =\frac{arctan x}{x} for x different from 0 = 1 for x equal to 0 F(x) is a definite integral from 0 to x, but I couldn't find the code for it, so just assume it is from 0 to x in the equation below. F(X) = \int f(t) dt Now, the task is to prove that F(-x) = -F(x). This means...

Wukunlin: (The reason to finding the factors are non other than practice, it's a task taken from my textbook). I've tried a), and as far as I know, made it, yet I can't make it for the other ones(b). Heres how i solved a) z3 + 8 => \sqrt[3]{8}ei*\frac{pi}{3} = 2(cos\frac{pi}{3} +...

Hi. I'm having some trouble factoring complex polynomials. I'm sure it's very easy assignments, but I'm missing some key-information as to how to solve these tasks. Tasks: The task is to find the complex and real factors of the polynomials(since I'm not that articulate in english I will...