Systems Definition and 1000 Threads

The gravitational potential leads to velocity in downward direction, but spring potential does in upward direction. So should these energies have different signs (plus and minus or vice-versa)?

I know that if 2 systems A and B are in equilibrium their coordinates doesn't change. Systems are not complicated and be fully described using two separated coordinates X and Y. What will happen if I seprate them using an adiabatic wall? Their coordinates start to change but I cannot...

Question: I am working with a pair of systems, each of which is a system of damped, driven, coupled harmonic oscillators, and I am trying to figure out what parameters—if any—could result in each system resonating with a different frequency. I’m wondering if anyone here has any intuitions...

I have difficulty understanding the extension of the fundamental laws of material point dynamics to systems. Example 1: Consider a system consisting of two material points. Suppose that the two forces acting on the two constitute a pair of forces of nonzero arm. The resultant of the forces...

I want to solve the following system of PDEs: \frac{\partial\nu}{\partial t}=\frac{\partial u}{\partial h} \frac{\partial u}{\partial t}=\frac{\partial}{\partial h}\left(f(\nu)\frac{\partial u}{\partial h}\right) I know the usual Fourier analysis that are applied to the stencil for single...

I am only interested in the initial equilibrium conditions, and I am struggling to convince myself whether that should correspond to the equality of chemical potentials for H2 or an equality of temperatures as well. My work is as below: We take both gases as simple ideal (this is only relevant...

Hi! I have exam in couple of weeks , and now am looking for sources to learn about dynamic systems , chaotic systems and etc. My main goal is to learn characteristics of such systems , learn about special points in dynamic plane. For the most part we used to create dynamic system simulations...

I vaguely (strong word there because I can no longer remember the source, but the idea sticks in my head for 30 years now) recall reading (somewhere long forgotten) that method of separation of variables is possible in only 11 coordinate systems. I list them below: 1.Cartesian coordinates...

Homework Statement: I am trying to write a Python code to do a project about smart parking system. I want to create a Mask RCNN model to detect the vehicles in the parking slots. My code is attached below, I got an error in the last line (creating Mask_RCNN model) and do not know how to solve...

For this, Can someone please tell me where they got ##X = IX## from? Many thanks!

Please help me confirm that I understand this correctly. Imagine a system comprised of two black holes orbiting each other, which will eventually merge. At any point in time we describe the stress-energy tensor of the system. Assume that we could solve the EFE's for every point (t,x,y,z). This...

I calculated the speed using the information provided through the above equation and finding V' = 1.2 m/s. However, the first solution must be -1,2 m/s. I don't know how to reach it, any suggestion?

In quantum mechanics if I repeat a measurement of the same observable in succession I get the same quantum state if it is not a degenerate state. If I make the system under consideration interact with another quantum system and meanwhile keep measuring it what happens? Does the system not...

At the heart of the theory of open quantum systems is the idea that the measurement statistics of many-body systems can be expressed in terms of a reduced density matrix, obtained by tracing over degrees of freedom that are irrelevant to the system of interest. In general, given a pure state...

Solve the linear system of ODE ##x' = 2x + 3y##, ##y' = -3x + y## with initial conditions ##x(0) = 1, y(0) = 2##.

I have a terminological question: should system parts defined by functional interactions or by being inside (and including) the system’s physical boundary? System components are often defined as part of a system based upon their interactions that lead to the system’s success in achieving its...

How should I proceed?

What kind of imaging system could be used to see without photons? I ask because I was watching a video and the furthest we can see back is Redshift Z~1090 which is the CMB. We can’t see the universe before the first stars formed or the Big Bang itself. My first guess would be some kind of dark...

Much of the theory of ordinary differential equations is based around continuous derivatives. A lot of nice theories came together with semi-group theory of linear systems and the Banach contraction theorem, but these are limited to continuous functions. Then you get into partial differential...

Figure: My attempt at a Solution: We calculate REACTIONS: $$\sum F_x=0\rightarrow \boxed{Bx=0}\qquad \sum F_y=0\rightarrow By+A=50$$ $$\sum M_B=0\rightarrow \boxed{A=25\, \textrm{kN}}\quad \boxed{B=25\, \textrm{kN}}$$ KNOT B: $$\alpha \rightarrow \alpha =90-40=50\, \textrm{º}$$ $$\beta...

Hello, The system is what we define it to be. The system can include one or multiple objects. These internal objects/bodies can move relative to each other or maintain a fixed distance to form a rigid system. Everything else that is not inside the system is part of the surroundings/environment...

I found a paper (https://arxiv.org/pdf/astro-ph/0411299.pdf) which talks about quantum systems emitting energy due to spacetime expansion. Is this true or only a hypothesis?

I found an old article (https://journals.aps.org/pr/abstract/10.1103/PhysRev.137.B1379) which talks about conservation of energy in an expanding space. Apparently, the author found that energy is conserved at local scales (like the motion of planets in our solar system) as one would expect, but...

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I am working on a sanity check for capacity vs load and if anyone here has experience with off-grid solar, any feedback would be much appreciated. The application is to run a fridge and a modem off-grid on a piece of land in New Mexico. I read that in December (worst case month) the area gets...

Hi. I believe I have what may be both a silly and or a weird query. In many Griffiths Problems based on Electric Field I have seen that a coordinate system other than Cartesian is being used; then using Cartesian the symmetry of the problem is worked out to deduce that the field is in (say) z...

Hi, I need to clarify few points about the text quoted below. I'd appreciate it if you could help me with the queries. Source: Computer Applications to Library By Kole Lambert, Page #169 Question 1: It says, "For embedded systems, the highest performance levels are often not needed or...

a) Find the energy levels of the ground state and the first excited state. b) Find the wave functions (in the coordinate representation) of the ground state and the first excited state. Hints: For a particle of mass m in a harmonic potential of angular frequency ω, the energy of the particle in...

Summary: Trying to self-teach Electrical Engineering, Embedded Linux and AVR/ARM to make a career change into embedded systems development and I need suggestions on the best way to do that. I have a plan but I honestly have no idea if its a good one. I have been into computers my whole life...

Summary: Consider a body which is rotating with constant angular velocity ω about some axis passing through the origin. Assume the origin is fixed, and that we are sitting in a fixed coordinate system ##O_{xyz}## If ##\rho## is a vector of constant magnitude and constant direction in the...

Hi everyone, I am currently taking an aerospace systems engineering course and right now, the focus is on Quality Function Deployment (QFD), which is basically a method driven by customer requirements, which can capture customer requirements and systematically convert them into engineering...

Hi all, I am taking a course in systems engineering and we are discussing about requirements and functional architectures. Got me wondering, for the engineers here in the aerospace, do you have any interesting examples relating to missed requirements or to requirements gathering? What about...

I know the moment of inertia and the rotating speed of a shaft, and the allowable vibration is 2mm/sec. How is the force calculated? What is the formula to calculate the force on the shaft bearings which are a know distance from centre of gravity? Thanks

I was wondered if anyone could give me some tips on what to expect going into a career in systems engineering. I completed my undergrad BS in Physics last year and I have worked as a student trainee optical engineer for two years (Intermittent schedule). I just completed my first year of grad...

------------EDIT---------------------------------------------------------------------------- Check comment #7 for neater and faster explanation of the question statement --------------------------------------------------------------------------------------------- The symbols represent: H, water...

Taking the moments about points A and C, why is a distance of 3 meters used in Fhc and Fhg? Isn’t it supposed to be 1.5 meters for both? I acknowledge that Fhc and Fhg have x and y components, but were we considering the horizontal or vertical component (or both components) of either Fhc and Fhg...

Hello, I am given an exercise in which I need to answer some questions, for this given system : y(n)=1/3[x(n)+x(n-1)] 1/ find the impulse response h(n), then H(n) 2/ calculate the magnitude ||H(n)|| and tell the nature of the filter 3/ calculate Fc which is cutoff frequency when Fe=8Khz , and...

In the book "Fundamentals of photonics", the authors defined waveguide modes using the notion of linear systems, where they said: "Every linear system is characterized by special inputs that are invariant to the system, i.e., inputs that are not altered (except for a multiplicative constant)...

https://uobrep.openrepository.com/bitstream/handle/10547/223815/ESWA%20agent%20paper%20-v2.pdf;jsessionid=16B243A8F6C1FC1242A75969D18D00B7?sequence=5 here is some information. I am unable to figure out which one is minimum requirement??and which one is specific requirement.

It was described that the thermal interaction changes average energy of each system by a different amount and the external parameters do not change at all in a thermal interaction. I do not understand how energy of a system changes without a change in external parameters.

Assemblies of various components can have properties as functioning systems. Systems can be composed of various kinds of components, like atoms, molecules, maybe interacting energy things, maybe bits of code, or higher level components. Since it is not linked to only a single kind of...

IS stands for information system. here's the syllabus-: https://ioesolutions.esign.com.np/contents/information-systems-ct-751 here's the notes that are available for this subject-: https://ioesolutions.esign.com.np/notes/text-notes/information-systems-ct-751and there is 1 badly written book...

So this is what given in book-: This is not just slide. This is exactly what is written in my book. I don't understand any of this. What I understand a bit-: Information System plan describe the structure of information system, content, of information system, how IS should be developed. IS...

Hello everyone, I would like to get some help with the above problem on signals and linear projections. Is my approach reasonable? If it is incorrect, please help. Thanks! My approach is that s3(t) ad s4(t) are both linear combinations of s1(t) and s2(t), so we need an orthonormal basis for the...

Is there a standard way to measure how far a system is displaced from equilibrium that can be applied to all physical systems? So, for example, a ball that is kicked, a spring that is stretched, a liquid that’s heated, and a charged battery are all systems that are displaced from equilibrium. I...

We have a slide in class that states if no friction or damping force, then the system is conservative. Then it shows: delta(T+U)=0 or T+U=constant. It then goes on to say that max kinetic energy is equal to max potential energy which is false. no way can you have KEmax=Pemax... I double...

Hi, I was attempting a question on the dynamical systems topic of Poincare maps, and was struggling to understand a certain part of it. Knowledge from prior parts of the questions: There was a system which we converted to polar coordinates to get: (## a ## is an arbitrary real constant)...

Hi, (This question is part of the same example as a previous post of mine, but I have a question about a different part of it) I was looking at a question from an exam for a course I am self-teaching. There is a sub-question which asks us to find the values of a parameter for which the 2-cycle...

Hi, I was attempting a question about Hamiltonian systems from dynamic systems and wanted to ask a question that arose from it. Homework Question: Given the system below: \dot x_1 = x_2 \dot x_2 = x_1 - x_1 ^4 (a) Prove that the system is a Hamiltonian function and find the potential...

Hi, I was doing some practice problems online for dynamical systems and came across the following question about isoclines. It left me with 2 questions that I hoping to get some insight to. Question: 1. What are isoclines? (I have tried doing an internet search, but the results don't help me)...