Stability Definition and 524 Threads

Well, we've had the Stone Age, Iron Age, Bronze Age, the Atomic Age, and now even the Silicon Age, perhaps to be followed by the Carbon Age. So what could we do with a Superheavy Age? http://www.eurekalert.org/pub_releases/2008-04/acs-nse031108.php What could be done with long-lived...

How does the binding energy per nucleon of a nucleus affect its stability?

Homework Statement If p(A^-1 B) < 1 then the Crank-Nicholson method is stable for all eigenvalues.Where p is the spectral radius. Homework Equations Stability requires that A*U_j=B*U_{j-1} which gives U_j = A^-1 B U_{j-1}The Attempt at a Solution Where do I start?

I'm trying to find a location in the Internet where I can download (for free) the following paper: M.V.Berry , "Stability of the Solar System" (possibly 1979)

hello, new & amazed by all the knowledge and passion on these forums..wow! well no questions are stupid i hope. I've been looking into basic radioactivity lately and it has led me to some question marks about isotopes' stability. The isotopes in question are ^{108}Ag and ^{110}Ag with the half...

Can someone explain to me what it means by nonlinear mode? I heard people saying that soliton is a nonlinear mode of the nonlinear schrondinger equation and therefore perturbed pulses tend to reshape to the soliton shape. In the reshaping proces, the energy dispersed is known as continuous...

Hello, I'm doing a big physics lab for my extended essay (IB diploma). I'm exploring two things, where my question is what affects the stability of a bicycle more, velocity or the weight on the bicycle? So for the first variable velocity, i pushed the bicycle in different strengths to alter...

Why does in QM the electron does not fall toward the nucleus? After all, the only force between nucleus and electron is attractive (- electron and + nucleus). Is the same reason that justifies the moon does not fall to the earth?

Does hydrogen in its ground state occur naturally, ideally, experimentally? Is it stable? Is this like asking, "Does a center of mass occur naturally, ideally, experimentally? Is it stable?"

Homework Statement I have a transfer function G(s) = \frac{1}{s^2} and a PI controller P(s) = 6 \left( 1 + \frac{1}{s} \right). How do I check for stability? Just use 1 + P(s)G(s) = 0 and check the roots?

As we know, there is a conjectured/theorized "island of stability" for the extended Periodic Table, whereby a select group of elements exhibits pronounced longevity of lifespan relative to the wider surrounding period of elements. At the heart of this "island of stability" is the conjectured...

I'm trying to gather properties of carbon nanotubes and compare them to other materials, but I can't find anything about its thermal stability and electric conductibility. Any suggestions where to search?

And probably the rest of the lessons I missed. We were asked to research stability and equilibrium. So far, I know that equilibrium is a state an object is in when no unbalanced forces are acting upon it. http://www.physicsclassroom.com/Class/vectors/U3L3c.html I got lost when I read...

Homework Statement Let a(t), b(t) and c(t) be continuous functions of t over the interval [0,\infty). Assume (x,y) = (\phi(t), \psi(t)) is a solution of the system \dot{x} = -a^2(t)y + b(t), \dot{y} = a^2(t)x + c(t) Show that this solution is stable. The Attempt at a Solution I...

wat will be the longitudinal static stability of an aircraft with a larger wing to a smaller wing?

hi, can anyone please help me with understanding the criteria for stability of a transfer function? especially with the bode plot, root locus, and nyquist. i've gone through a few search results online and almost every site has different information that feels contradictory to me...

Need Materials for "Stability and Control Helicopter" Hi everyboy ! I'm now very disappointed, it's beause I have googled the materials of "stability and control helicopter" and what I got is nothing but disapointment. So, I need your help for the materials. Is there anyone got them ? please...

Homework Statement ok i got the following one i have x´´= -x^5, show that the point x=0 is a stable equilibrium. I´m given the hint to use the function V(x, x´) = x´^2/2 + x^6/6 Homework Equations The Attempt at a Solution surly i tried linearization but that doesn´t work (...

Some body please explain quantum mechanics to me in ENGLISH please... I have a paper due on the stability of the quantum science but I don't even get it much less write a paper about it.. Thank you your help is aprreciated..

I have a question about current experimental findings on the status of the neutron N while contained within nuclear radius of a stable atom, say Helium-4. It is well known that the N will undergo beta(-) decay when it is free from a nucleus (takes ~ 14 minutes). But... My question...

We have a hyperbolic pde (in fact the 1d wave equation) with indep vars X, T We use the central difference approximations for the second derivatives wrt X, T to get [phi(Xn, Tj+1) -2phi(Xn, Tj) + phi(Xn, Tj+1)]/(dT^2) = [c^2][phi(Xn-1, Tj) -2phi(Xn, Tj) + phi(Xn=1, Tj)]/(dX^2) where dX...

As much as I hate starting a thread about a youtube video, I think this one is important I had no idea stability control was that good; this guy was able to drive on sheet ice. My car does not have stability control or even a limited slip differential, so my left turns in winter are a lot...

hi I'm from belgium and I've got a problem... We have to do a science project and I have chose to study the yoyo But now we got problems... we need to calculate the rotation speed but the yoyo goes to fast and we can't see it ... we have tried with a camera but still it's to fast? Is there...

CONGRATULATIONS TO Martin Bojowald! http://arxiv.org/PS_cache/arxiv/pdf/0704/0704.1137v1.pdf Lattice refining loop quantum cosmology, anisotropic models and stability Martin Bojowald∗ 09 April 2007 Standard Theory SU(3)xSU(2)xU(1).…. String …. Have not done it. He is the first to...

I am asked to check the stability at theta=0 of the pendulum system shown in the attachment. I set up the energy for the system and found it to be E=\frac{1}{2}m(L\sin(\theta))^{2}+\frac{1}{2}m(L\frac{d\theta}{dt})^{2}-mgL\cos(\theta) which is in agreement with the books answer "A guide to...

Hello, I was curious as to what you think of the paper below. This concerns the effects of substitution in a NiTi lattice on the transformation temperatures. The author seems to draw from this study, that since Nickel has comparatively localized electrons, the increase in temperature...

Just come across a question and I'm at a point where i see no further. A uniform rod AB, of mass m and length 2a, is free to rotate in a vertical plane, about the end A. A light elastic string of modulus kmg and natural length a, has one and attached to B and the other end to a fixed point O...

to find values of k for which the system is stable. s^4+2ks^3+2s^2+(1+k)s+2=0 first (1+k)must be >0 and 2K must be >0 then i construct routh array to get 3k-1/2k as a coefficent of s^2 and (3k-1)/2k *(1+k) - 4k as a coefficent of s . then k must be>1/3 and K>2.15 and K>-0.154 then k...

Absolute stability question - urgent! Hi, I wasn't too sure what section to put this in but I'm currently working on an exercise regarding absolute stability in the class Numerical Solutions of ODEs. Here is the graph i have produced on Matlab and I am suppose to comment on it. The graph...

we're doing some nuclear work at college at the mo, and i came across a few sources which stated that nuclei with an even mass number tend to be more stable than nuclei with an odd mass number. so far so good. when i looked up why this was, there was very little information on the internet but...

I have a problem regarding the equations dx/dt=x-xy and dy/dt=y+2xy. I need to find the critical points of this system and denote if they are stable or asymptotic or whatever. I flipped through the section on this and you can find the critical points by setting dx/dt and dy/dt to zero and...

The general solution fo the following equations: x'=2x-3y y'=x-2y Is, x=4C1e^2t, y=C1e^2t-3C2e^-2t They ask for me to list a set of initial conditions (xo, yo) for which the solution is stable, i.e, (x, y)-->(0,0) for large t. I don't understand this part of the problem.

Hi all! Please help me answer these questions: 1. Why is the standard Horner's scheme for the computation of Taylor's series for sine unstabil? The standard scheme is sin(x) = x(1 + x^2(-1/3! + x^2(1/5! + x^2(-1/7! + ... x^2(-1/(2n-1)! + x^2/(2n+1)!)...) 2. How can we modify the scheme to...

I was just wondering how speed can a bike more stable. What I mean is at lower speeds it the bike will tend to fall aside if you don't keep your balance, but as the speed increases the more stable it will become. Is this because of the steering, shape of the wheels or is a body actually harder...

How would you answer questions like 'is the solution stable to arbitary small perturbations in the intial values of x(0), x'(0) and x''(0)'?

Scyllo-inositol should be more stable than myo-inositol, right? (unless I'm missing a certain detail) But in nearly all literature on inositols, it is always myo-inositol that is primarily focused on. Scyllo-inositol is said to exist in "trace amounts" along with other inositols, while...

# It is said that atoms of elements of high atomic mass are unstable. So they emit alpha, beta or gamma rays. Suppose an atom emits alpha rays. The binding energy of alpha particle is about 27 MeV(million electron volt). It is said that as a result of this emission, the binding energy per...

When determining the stability of the equilibria (or, critical points) for our bifurcation diagrams, we have been shown to use phase line diagrams. I understand that if the function is moving away from the equilibria on either side than it is unstable, and i know that if the function is...

Hi all :approve: I'd like to know your opinion about this: how to evaluate if an autogravitating body is stable? I'd like to know which analytic consideration should we do. Example: experience tells us that a sphere is pretty stable. But... something else? A torus is stable? Or should it evolve...

concerning fluid flow past a body, i know that if the boundary layer is laminar then the flow becomes unstable when the Reynold's number of the flow is greater than the critical Reynold's number. is this also true when the boundary layer is turbulent? tia

If particles consist of wave packets, and thus a range of frequencies, how does the partciel stay intact after interacting with a target? Wouldn't the different frequencies diffract at different angles thereby destroying the stability of the particle? Whilst I realize this problem was...

In classical mechanics - virtual work lecture, for determining equilibrium stability we were told that second derivate of potential can be used. How? I've made a quick google search, but couldn't find anything remarkable.

I have the following quasi-linear ode (1) -\frac{d^2 u}{dx^2}+\frac{\lambda}{(1+u)^2}=0 with boundary conditions u(\pm \frac{1}{2})=0 and \lambda>0. I've proven this equation to have two solutions for \lambda<\lambda^*, one for \lambda=\lambda^* and none for \lambda*<\lambda. Also, i...

Okay We all know that the most stable state of a system (say an object undergoing SHM)is when it has minimum Potential Energy. Can somebody tell me why a local minimum in the potential energy correponds to a higher stability than some other arbitary state? (Not too much of quantum theory...

Hello all Here's a question I need some help with: There are two nuclei X and Y [Binding Energy of X = a and Binding Energy of Y = 2a]. Also Binding Energy per nucleon for X = 2b and Binding Energy per nucleon for Y is b. Then which one of the following is true: (A) X is always more...

In terms of electronic structure, Fe3+ is more stable than Fe2+ because it has a half filled d-orbital which gives extra stability. i.e. Fe3+ : [Ar]3d5 Fe2+ : [Ar]3d6 But the standard electrode potential of the following reaction is 0.77V, Fe3+(aq) + e- => Fe2+(aq) which means...

Ok, here is an idea I have been playing around with for about 2 months now: i am design a RC aircraft that is lifted verticaly into the air by 4 ducted fans. however an issue with stability came up, so instead of trying to rely on a low center of gravity alone for the stability, I came up with...

Determine the asymptotic stability of the system x' = Ax where A is 3 x 3 matrix A = -1 1 1 0 0 1 0 0 -2 ( first row is -1 1 1 second is 0 0 1 and third is 0 0 -2) More specifically, what stability conclusion(s) can be drawn? ( Justify your answer)

I am verifying and validating a rotational state propagator used in a dynamic simulation package. I have found some problems and solutions to them. This post outlines the propagation, the problems, and the solutions. Some questions before I start: - Has anyone else analyzed stability and...

Why are Bicycle wheels the same size? Is it because it is easier to manufacture and maintain or does having same wheel sizes in the front and back offer added stability when compared to having a bigger wheel at the back (like the early models)?