Stability Definition and 478 Threads

Homework Statement As shown in class the electric potential energy of a water molecule is -5.33 eV. Which molecule is more electrically stable, H2O or CO? Why? Homework Equations EPE=Kc*q1*q2/r12 The Attempt at a Solution The water molecule's EPE is -5.33 eV. The carbon...

Homework Statement A large barge of overall width 4m to be used at sea has a uniform empty weight per meter length of M=6327.19kg/m (length is into the page). This empty weight is uniformly distributed along the length of the barge. The center of gravity of the empty barge is at position G...

Homework Statement The question is regarding the stability of a large barge. Overall width=4m Uniform weight per meter length of M= 6327.19kg/m (This empty weight is uniformly distributed along the length of the barge. Center of gravity of the empty barge is at position G, 2m above the flat...

I have this burning question_Why is it that we can stabalize bicycle so easily when its moving but not when its still?

Is my understanding correct that the short term stability of fast neutron liquid metal cooled reactors is based primarily on the thermal expansion of the core, while the Doppler coefficient is far less significant factor, as the Doppler coefficient primarily affects the low energy neutrons? (The...

why is moving bicycle more stable than rest one?

Lets consider this definition: If the average power supplied to the system (absorbed power) is less than the average power lost by the system (emitted power) then the system is stable (during the time in which the power was averaged). Is such a definition of stability valid?

Homework Statement A ^{238}_{92} U nucleus can catch a neutron with small kinetical energy. Then we'll get a ^{239}_{92} U nucleus. This nucleus has too many neutrons compared to the number of protons to be stable. How can the nucleus achieve a better balance between neutrons and protons...

Homework Statement The "tent-map" is given by: xn+1 = g(xn) where g(x) = 2x if 0 <= x<= 1/2 and g(x) = 2-2x if 1/2 < x <= 1 a) Find the fixed points and their stability. Draw a cobweb plot of the tent map to demonstrate that your stability calculations are correct. b) Find a period-2 orbit...

If you increase mass with speed does the forces that hold molecules’ together increase in per portion ? If not do the molecules’ fall apart with speed ? If the forces increase in per portion Why does the energy released from the muluation of those forces decrease with speed.

Homework Statement Determine the stability of the following linear system y(n) = 0.5x(n) +100x(n-2) - 20x(n-10) Homework Equations x(n) = 0.5\delta(n) S=\sum^{\infty}_{k=0}\left| h(k)\right| The Attempt at a Solution Z \left\{ 0.5x(n) +100x(n-2) - 20x(n-10) \right\} Z...

I want to get my head around this... Why is that in nuclear fusion, the formed nucleus is more stable because its nuclear binding energy/nucleon is HIGHER than the sum of its reactants But in general chemical reactions products are more stable if their enthalpy is LOWER than the sum of...

Homework Statement For a control system that has G(s)H(s) = \frac{1}{s^{2}*(s+\alpha)}Homework Equations 1 + G(s)H(s) = 0 The Attempt at a Solution Exam question i messed up . I really need to know the answer.

Hello, I have a temperature controlled water bath that is capable of controlling the temperature of the water to 0.2 degrees C. However this isn't good enough for my application and I require a greater level of stability. I want to place a metal box filled with oil inside the temperature...

If i have the mgf of X and the mgf of Y where X~N(mx,vx) and Y~N(my,vy) and X and Y are independent , then if i want to show that aX +bY ~ N(amx+bmy , a^2vx+b^2vy) how would i do this - need to be able to do the convolutions way and the mgf's way, for the mgfs way is it just, mgf(ax+by) =...

Homework Statement I need to show that if X ~ r(a1,B) Y ~ r(a2,b) where r means gamma distribution then if X and Y are independent i) X+Y ~ r(a1+a2,B) ii) cX ~ r(a1,cB) Homework Equations The Attempt at a Solution i) i use the mgfs of x and y and ended up with mgf(x+y) =...

Okay, so even though I really don't need to, I do a LOT of research on astronomy, physics, math, etc. I was doing research on the extended periodic table, and super heavy unstable elements. I was quickly turned to the Island of Stability, and I get the theory but have a few questions. 1...

Hi I came across this: http://www.free-training.com/osha/forklift/Physics/54.htm Here I don't understand why the forklift will remain stable only when the CG is inside the triangle. If the CG is outside the triangle but still within the square formed by the four wheels of the forklift why...

Homework Statement I want to know if i got answer to C correct http://img822.imageshack.us/img822/7804/equilbrium.gif Homework Equations The Attempt at a Solution [PLAIN][PLAIN]http://img703.imageshack.us/img703/508/equilbriumsol.gif

I have the impression that when discussing stability of nuclides that there are two different usages of the term. 1. Atomic weight divided by nucleon count: The lower the number, the more stable is the nuclide. Iron ending up being the most stable. 2. Radioactivity: All nuclides that...

Hi, Could someone clarify the following statement please? "ZnO has a bandgap of 3.4 eV at room temperature and a free exciton binding energy of 60meV which is much larger than the room temperature thermal excitation energy (25meV) making them stable at rtp." Does it mean that at rtp, we...

Hi Everyone, I have been researching for days, and am still very confused, so thought I might turn here for assistance. I know the minimum free energy represents the state of maximum stability for a system. Free energy is decreased when enthalpy decreases and entropy increases. I understand...

Homework Statement I have two questions. I have attached two pictures, 1 for each. 1. For the question about stability, the answer is C, but I thought it should be B. I would imagine the strain of two OH groups would be greater than an OH group with a CH3 group. Can someone explain what...

Hello Guys, I am planning to design electrical grid connected with solar distribution generation system using ETAP. I tried to run trasinet stability analysis of this system with fault at each and every line/branch of the system, to get corresponding critical clearing times. I realized that...

Just totally confused which value to use to get the area moments of inertia with this question The ship was initially looks like this the mass of the ship is 5000 tonnes two heavy cargocontainers each of mass 73,370 Kg each assume that the ship has a rectangular waterline area, with length...

Homework Statement C3H6 cyclopropane C4H8 cyclobutane C6H12 cyclohexane Looking at their bond angles, which do you think is most stable? The Attempt at a Solution I'm trying to examine their shapes - triangle, sqaure and hexagon, but I don't know which shape is more stable...

Stability and Critical points---Please Help Homework Statement I need to know the critical points and stability of this ode (2xy-5)dx+(x^2+y^2)dy=0 Homework Equations The Attempt at a Solution i've graphed this is Mathematica (attached) but I don't know if its stable or what the...

Homework Statement [PLAIN]http://img825.imageshack.us/img825/2673/58894277.png Homework Equations sin(theta) ~ theta for small angles. The Attempt at a Solution I'm having a hard time understanding what the question is asking since I don't have a lot of experience in stability...

Hi - I'm designing a dining table, and am trying to calculate how much weight could be applied at the edge of the table (if someone were to lean or sit on it) before it would tip. If the legs are set in about one quarter of the total width of the top, can the outer edge of the table carry a...

Hi everyone, I was looking for a std to calculate stability of truck mounted crane. Recently I found an australian std "australian code of practice for crane installation on truck" (I think it is a part of 1418 au std), and I found it simple and practical. But, when I tried to solve the example...

I have the following DE: y'=y*(1-y^2) And understand that y=0, and y=+/-1 are critical points I am confused as to which are stable/unstable and why. TIA

i was just thinking...considering the Earth as a system would we consider the Earth as a stable system?if so can we prove by contradition that it is not unstable...and more so what parameters would we consider in forming the differential equation..its just crazy thinking.. hope i have posted...

why doesn't nitrous oxide decompose to nitrogen and oxygen at rtp even though the gibbs free energy is -105 ? thanks!

Homework Statement Classify the fixed points of the following linear system and state whether they are stable or unstable \dot{x}=x + y \dot{y} = x + 3y Homework Equations The Attempt at a Solution Fixed point at dy/dx = 0/0. Therefore fixed point = (0,0) How does one test...

Homework Statement Why is it important in brachytherapy to realize that rhodium is not a stable isotope? If rhodium were not a stable isotope, what considerations must one make? I know that a stable isotope can go from one element to another, but I don't see how that would have anything to...

Homework Statement A uniform plank of thickness 2d and weight W is balanced horizontally across the top of a circular cylinder of radius r, whose axis is horizontal and perpendicular to the length of the plank. Prove that the gain of potential energy when the plank is turned without slipping...

I am reading the beginning of the chapter about Conjugated Unsaturated Systems and it is discussing relative stability of the allylic radical in comparison with other compounds. This is what it tells me for the DH°: Allylic Radical - 369 kJ*mol-1 3° Radical - 400 kJ*mol-1 2° Radical - 413...

My teacher explained that when a large nucleus has too few neutrons, the binding energy is not enough to hold the nucleus together. But by adding neutrons the binding energy increases without increasing the repulsion between nucleons, and thus the nucleus can stay together. But atoms that have...

I've read (in wikipedia, at least) that neutron-degenerate matter is unstable in small quantities, and would decay into protons, electrons and antineutrinos. Is there any generally accepted estimate for the critical mass at which a ball of neutronium would be stable? (Trying to calculate...

analysis of circuits towards stability ... I studied so many materials and some of those are describing about analogue corcuits for many purposes. In part of that everytime they explaine about pole ZERO concepts(whenever i seen those words in paragraph i feel that is bad ). I need to overcome...

Hello. I have a question concerning the stability of a hypothetical binary planet system. I'm sorry if this properly belongs in general astronomy instead of astrophysics, but it does concern orbital mechanics. The hypothetical system is an Earthlike planet orbiting a relatively bright K class...

My friend asked me that this morning but I couldn't think of the answer. I know there's probably some major physical law behind it, but so many to choose from! Can you guys help me clarify this issue for myself and my friend?(when I say "riding a bike" - I mean riding on a bike. When I say...

After analyzing a 3-DOF system, I've obtained the following 6th order characteristic polynomial: P=\lambda^6+(6\beta-.8896)\lambda^5+(8\beta^2-3.5584\beta+6)\lambda^4+(\beta^3-.8896\beta^2+16\beta-3.5584)\lambda^3+(3\beta^2-1.7792\beta+8)\lambda^2+(3\beta-.8896)\lambda+1 Stability is...

Hi I'm looking for a good description (high-school to 1st year level) why the ratio of protons to neutrons matters for stability. Single neutrons are unstable, but in a nucleus they are stable and the more nucleons you have the greater the strong force. So why can't you have stable isotopes...

Homework Statement Consider a discrete-time system, driven by: x[k+1] = Ax[k] for non-zero inital conditions x[0] a) write the closed-form solution of x[k]. If the system is asymptotically stable how should x(k) behave? b) what is condition for asymptotic stability? Homework Equations...

hi, does anyone there know why two (antiparallel) electrons with net spin 0(paired electrons) are more stable than two unpaired electrons? is it because the magnetic attraction between the magnetic dipoles of these 2 electrons? this is a basic question therefore I need to understand it...

Case in example: If a motorbike is being riden down a steep hill and out of gear with no brakes applied; would this be more unstable than if the bike were in-gear using engine braking? (Above condition being at the same speeds).

hi, i believe there is a clear cut relationship between the pauli exclusion principle and the thermodynamical/chemical stability in chemistry. the pauli principle rises the energy level, and stability occurs for the lowest energy states. does that mean that a consequence of the pauli...

Hello, I'm solving a problem in optics, and I found the next question: Let f:\mathbb{R}^2\rightarrow\mathbb{R} be a function, such as (x,y)\rightarrow(z), which is a surface in IR^3.I need an estimator of the stability of that surface or any indicator of the inclination of the surface in a...

Given these two helicopter designs, which, if any, of them would be more stable? (No image? 1 is propellers on top, body below, second is body above, propellers below) Common sense tells that 1 would be more stable, but experience and rocket pendulum falacity shows that both are equally...