What is System: Definition and 1000 Discussions

A system is a group of interacting or interrelated elements that act according to a set of rules to form a unified whole. A system, surrounded and influenced by its environment, is described by its boundaries, structure and purpose and expressed in its functioning. Systems are the subjects of study of systems theory.

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  1. M

    System restore failed to extract the file

    Hello. I created a restore point in Windows 8 but it doesn't work because of a problem. "System restore did not completed successfully. Your computer's system files and settings were not changed. Details: System Restore failed to extract the file "C:\Program Files...
  2. tito agiffaz efata

    Steam heating system transfers heat to a room (Thermodynamics)

    Homework Statement A steam heating system is used in winter season, The radiator of a steam heating system has a volume of 25 liters and is filled with superheated water vapor at 200 kPa and 200C. At this moment both the inlet and the exit valves to the radiator are closed. After a while it is...
  3. lc99

    [First Year Statics] Replace Force System

    Homework Statement Homework EquationsThe Attempt at a Solution [/B] the force resultant = (100i +620j +800k) = 379 N moment result is (100i-620j+800k) = 1017 which is not correct! I calculated the moment of all forces about point O using cross product so... (-3i + 2j) x (-200j) + (-3i +2j) x...
  4. lc99

    [First Year Statics] Find equivalence location of system

    Homework Statement Part C ) help Homework Equations So far.. Moment resultant = 1800i +3200k , magnitude = 3070 N*m Force resultant = 500i +300j + 800k , magnitude = 990 N The Attempt at a Solution For the location, I'm not getting x = 1.16, y =2.06. Instead , I am getting Mx = Fr*y --> y...
  5. Robin04

    Divergence of a vector field in a spherical polar coordinate system

    Homework Statement I have to calculate the partial derivative of an arctan function. I have started to calculate it but I wonder if there is any simpler form, because if the simplest solution is this complex then it would make my further calculation pretty painful... Homework Equations $$\beta...
  6. T

    Kepler's 3rd law and a binary system

    Homework Statement I am having a issue with the question, when I check the solution to the problem, I can't seem to make sense of how they have derived there equation. Q: By analyzing the superposition of frequencies and amplitudes in the radial velocity data for a star 55 Cancri A, the first...
  7. Phantoful

    Calculate the initial acceleration of this pulley system

    Homework Statement Homework Equations W=mg F=ma The Attempt at a Solution I'm not sure how I should be answering this problem, and the diagram itself looks odd. I was thinking about how it would work in real life, since the biggest pulley is attached to the leftmost pulley, by the same...
  8. Abhimessi10

    Pulley-Block-Spring System: Understanding the Forces Acting on a Hanging Block

    Homework Statement [/B]Homework Equations [/B]The Attempt at a Solution In the second question at 5:32,why doesn't the block have a spring force.In FBD of 2nd block it should have been mg-(T+kx)=ma right?
  9. lc99

    Moment of Inertia in Planet System

    Homework Statement Two planets are masses stuck to end of long thin rods. These model systems (Rod + mass) will be rotated by a motor at their other end of the rod, as shown in the figure. the length of the rod is proportional to the orbital distance of the planet, and the mass at the end is...
  10. Pushoam

    Jacobian of a coordinate system wrt another system

    Homework Statement Homework EquationsThe Attempt at a Solution Jacobian of the coordinate- system (## u_1, u_2##) with respect to another coordinate- system (x,y ) is given by J = ## \begin{vmatrix} \frac { \partial {u_1 } } {\partial {x } } & \frac { \partial {u_1 } } {\partial {y} } \\...
  11. Nikhil N

    Dynamic modeling of a system and transients of the system

    Consider, I have a dynamic system model for air compressor. Which means I have modeled the system by including its physics. Does this means I also included the transients of the system? What I think is, when i modeled any system with equations, I think that includes the transients. Is it...
  12. J

    Output of an LTI system when the input is multiplied with 'n'

    Homework Statement Homework Equations Find out the function of the system. Apply that to input. The Attempt at a Solution From given input output, system is a differentiator. So when input is n u[n] output is differentiating it, we get: n (impulse response) + u[n] Which is not in any of the...
  13. J

    Time Variant System: y(t) = x(-t)

    Homework Statement Is the system: y(t) = x(-t) time variant or time invariant? Homework Equations Condition for time invariant: 1) Apply delay to input and check output as Y1 2) Apply input to system without delay and apply delay to output and name it as Y2 If Y1 = Y2, system is Time...
  14. R

    Centre of mass of binary system calculation

    Homework Statement Given a graph (see below) containing the velocities of two stars with respect to the sun, I am asked to calculate the velocity of the centre of mass of a binary system. I am not given the mass of either star, nor the shape of the orbit nor the velocity of the centre of mass...
  15. J

    Find out transfer function in control system

    Homework Statement Homework Equations Using Laplace TF = C (s) / R (s) The Attempt at a Solution Laplacing the equation: 3s C(s) + C(s) = R(s) e-3s So C(s) / R(s) = e-3s / (1 + 3s) Book answer is B I know ramp input is At. Do I laplace it as: A/s2? I'm not sure where I'm wrong
  16. D

    Is the Relationship Between Energy and Distance Always Direct in Earth Science?

    I know that energy increases with distance, but what is the relationship? What are different ways to measure something decreasing over distance or time. I really don't have the time to help my younger sister do her homework so I need someone to help me explain to her the relationship concerning...
  17. T

    Residual pressure in a fire sprinkler system

    I'm aware that the term means the remaining pressure at a point while there is flow. Say the distribution pipes downstream the sprinkler valve have a calculated total head loss of 3 bars during the designed flow. Does that mean that the residual pressure at the sprinkler valve needs to be at...
  18. Hydrous Caperilla

    Finding the time period of this System

    Homework Statement To find the time period of this simple harmonic motion Homework Equations F= -kx The Attempt at a Solution To check Simple harmonic motion first ,I have to displace the mass by some distance which I take to be x in this case. Therefore the spring will be displaced by a...
  19. J6204

    Finding differences amongst a system of differential equations

    Homework Statement Given the following figure and the following variables and parameters, I have been able to come up with the set of differential equation below the image. My question is how does the system of equations 1 which I produced myself differ from the set of equations 2. Below I have...
  20. S

    What is the Start Up Torque Required for a Bearing Machine System?

    hi everyone i am working on a project of designing abearing machine i need to calculate the start up toqrue required to my system to move can anyone help?
  21. Spinnor

    Can our immune system be or become partially defective?

    Can our immune system be partially defective to some small class of pathogens (say flesh eating bacteria) either from birth, due to genetic defect, or latter in life? Our body has a lot of "bad guys" to look out for, maybe it just stops looking for some of the bad guys? Thanks!
  22. J

    Sequence Currents in a Power System

    Homework Statement It's a solved problem but I don't understand why is there no 30 degree lag from line voltage to lead voltage. Homework Equations Phase voltage = Line Voltage / 1.732 and there is 30 degree lag So shouldn't Ir be at angle 150 degrees.The Attempt at a Solution In Y line and...
  23. J

    DC Distribution System -- Minimum Voltage across the line

    Homework Statement Homework Equations V = IR And R becomes 2(r of one conductor) because of return path. The Attempt at a Solution V minimum is at third junction. At VD Using KVL we get: [/B] Drop at AB = (10 + 20 + 50) * 2 * 0.1 = 16 V Drop at BC = (20 + 50) * 2 * 0.08 = 11.2 Drop at CD =...
  24. M

    What is speed of response of a control system

    Homework Statement In a report I am asked to assess the speed of response of various systems, however I am not exactly sure what this means, be great if someone could explain The Attempt at a Solution Step response plots were produced for each simulation and MATLAB was used to assign...
  25. C

    MHB Peak in single ODE within a system

    Hi all, I have the system of nonlinear ODEs: $$ \begin{align} \frac{dX}{dt}=&-k_+ A X+k_-Y \\ \frac{dY}{dt}=&\ k_+ A X-k_-Y-\alpha k_+ X Y +\beta Z \\ \frac{dZ}{dt}=&\ \alpha k_+ X Y -\beta Z \end{align} $$ I also have a conservation law that says $D=X+Y+2Z$. Obviously it is not possible to...
  26. P

    MHB Mason's question via Facebook about solving a system of equations (2)

    As all the z coefficients are the same, it's a good idea to eliminate the z values in the second and third equations, so apply R2 - R1 to R2 and R3 - R1 to R3... $\displaystyle \begin{align*} z &= 12 - x + 4\,y \\ 0 &= -8 + 6\,x - y \\ 0 &= -7 - 11\,x - 9\,y \end{align*}$ Now we can multiply...
  27. P

    MHB Mason's question via Facebook about solving a system of equations

    The LCM of the $\displaystyle \begin{align*} x \end{align*}$ coefficients is 30, so multiplying the first equation by 6, the second by 10 and the third by 5 gives $\displaystyle \begin{align*} 30\,x - 12\,y + 6\,z &= 18 \\ 30\,x + 10\,y + 30\,z &= 50 \\ 30\,x + 5\,y - 20\,z &= 310...
  28. alan123hk

    B Gravitational Wave Communication System

    Would it be possible to transmit information through gravitational waves? It must be a giant leap for mankind if we can utilize gravitational waves for communication since the electromagnetic spectrum for communication is a scarce resource and not much space is left. I imagine that the...
  29. Mamat31

    Reducing pressure in a chilled water system

    Hi all, I am new on this forum, hope you are doing good. I have a question related to a project I am currently working on. The system is a 40+ floors mix used building, with a cooling system composed of a couple of centrifugal chillers, and a primary/secondary pumping configuration. There is...
  30. Y

    Solve a system of two linked harmonic oscillators

    $$m_1 \ddot{x} - m_1 g + \frac{k(d-l)}{d}x=0$$ $$m_2 \ddot{y} - m_2 \omega^2 y + \frac{k(d-l)}{d}y=0$$ It is two masses connected by a spring. ##d=\sqrt{x^2 + y^2}## and ##l## is the length of the relaxed spring (a constant). What is the strategy to solve such a system? I tried substituting...
  31. Erland

    I Why does a quantum system with many degrees of freedom imply orthogonality?

    Quantum decoherence means that when a quantum system interacts with its environment, coherence is lost, which means that all the density matrix becomes diagonal after the interaction. I never understood why it is so, but I get a clue here...
  32. Victoria_235

    How Does a Lift's Acceleration Affect the Pulley System Dynamics?

    Homework Statement Two blocks are attached by strings of negligible mass to a pulley with two radii R1=0.06 m and R2=0.08 m. The strings are wrapped around their respective radios so that the masses can move either up or down. The pulley has a moment of inertia I=0.0023 kgm2 , and is supported...
  33. Mzzed

    I Boundary Conditions for System of PDEs

    I am unsure how to choose the boundary conditions for a system of PDEs or for a single PDE for that matter. The situation I am stuck with involves a system of 4 PDEs describing plasma in a cylinder. The dependent variables being used are Vr, Vt, Vz, ni, and the independent variables are Rr...
  34. T

    Flow rate in underfloor heating system

    Consider an underfloor heating system in an apartment building. Each apartment has its own distribution box with a number of loops and a thermostatic mixing valve set to 35°C. The loops are intended to work with a ΔT of 5°C (35-30), and the riser pipe supply temperature is 75°C. Say there are...
  35. T

    Solve Pulley-Mass System: m1=4.00 kg, m2=1.00 kg

    Homework Statement The pulleys in the figure (attached) are massless and frictionless, determine the acceleration of eah of m1 and m2, given that m1=4.00 kg, and m2=1.00 kg, and the surface is frictionless and horizontal. Homework Equations For mass m1: T1=m1a1 and mass m2: w2-T2=m2a2 For...
  36. R

    Find values of k in this linear system

    Homework Statement Find the values of k so that each of the following systems in unknowns x, y, and z has (i) a unique solution, (ii) no solution, (iii) an infinite number of solutions. x + y = kz = 1 x + ky + z = 1 kx + y + z = 1 Homework EquationsThe Attempt at a Solution I really don't...
  37. Alexanddros81

    Two particle system - find their angular velocities

    Hi! I want to start solving problems from the text 'Orbital Mechanics for Engineering students' by Curtis 2nd edition. Is this the right place to post? Homework Statement 2.1 Two particles of identical mass m are acted on only by the gravitational force of one upon the other. If the distance d...
  38. M

    MHB System of equations - Relative error

    We have the linear system of equations $Ax=b$ with \begin{equation*}A=\begin{pmatrix}0 & 1 & 1 \\ 0.5 & 1.0001 & 3 \\ 1 & 2 & 4\end{pmatrix} \ \ \ \text{ und } \ \ \ b=\begin{pmatrix}2 \\ 3 \\ 4\end{pmatrix}\end{equation*} First, I want to calculate the solution using the Gauss algorithm with...
  39. Conductivity

    I Force-couple system equivalence: 3 moment equations

    In force-couple system equivalence, We can show that two systems are equivalent if the resultant force in both are equal and that it has the same line of action. So Rx1 = Rx2, Ry1= Ry2, Ma1 = Ma2 Now my book says we can use another form of equation: We can choose 3 point and find the moment...
  40. kq6up

    I P and X completely describing a system of particles

    I have heard it said that in classical physics that if one knows all the particles of a systems momentums and positions, that the evolution of the system can be completely known. I would imagine this also would have to include the nature of all the forces acting on the particle. Also, for...
  41. Ali Durrani

    Optimum boiler pressure for Waste heat recovery system

    Hello Guys, I am a mechanical Engineer working on a semester project, to design a waste heat recovery system for a cement plant Air quenching cooler (AQC). For WHR i have to first design a AQC Boiler. According to the Data provided by the plant incharge, Air at the exit of cooler has a volume...
  42. wolram

    B How did Jupiter and Saturn disrupt our solar system

    This article suggests that exoplanets are the same size and have equal orbital spacing ,so what is different from our solar system. https://www.sciencedaily.com/releases/2018/01/180109141918.htm An international research team led by Université de Montréal astrophysicist Lauren Weiss has...
  43. Velo

    MHB Solving Linear Equations: $Ax=b$ and Rank of A

    So, my linear algebra book, if you can call it that, says the following: $Ax=b$ is a system of linear equations with $m$ equations and $n$ variables. ${v}_{1}, {v}_{2}, ..., {v}_{n}$ are the vectors in the columns of $A$. The following are equivalent: (1) The system $Ax=b$ is possible for...
  44. D

    Transformation of Vectors in a Rotated Coordinate System

    Homework Statement With respect to a given Cartesian coordinate system S , a vector A has components Ax= 5 , Ay= −3 , Az = 0 . Consider a second coordinate system S′ such that the (x′, y′) x y z coordinate axes in S′ are rotated by an angle θ = 60 degrees with respect to the (x, y) coordinate...
  45. binbagsss

    Grand canonical system, relativistic cts Hamiltonian

    Homework Statement Question attached: Hi, To me this looks like a classical, continuous system, as a pose to a quantum, discrete system, so I am confused as to how to work the system in the grand canonical ensemble since , in my notes it has only been introduced as a quantum...
  46. E

    Wheel-Hub System and Angular Acceleration

    Homework Statement A wheel of radius r1=0.8m and hub of radius r2=0.4m is shown in the diagram. Two masses are hung from the wheel-hub system. The mass m2, on the left, is hung from the hub. The mass m1 is hung from the wheel. The system is in equilibrium. The moment of inertia for the disk-hub...
  47. Francis Hannah

    How many Trusses act on this system?

    Is there only two trusses? As shown below:
  48. F

    I Two particle system, products and entanglement

    Hello everyone and happy new year. I have a quick dilemma on the concept of entanglement for a two-particle system and I am looking for some clarity: Say we have particle ##A## and particle ##B##. Both particles can be in either of the two states that we call ##|\Phi>## and ## |\beta>## or in...
  49. F

    A Optimization of a nonlinear system

    Can someone please tell me how to go about optimizing this system of equations? It is weird because the residuals are computed with ##A = B*X_1+C*X_2## but X_1 and X_2 are computed in a separate function ##[X_1,X_2]=f(k1,k2,H0,G0)##, and what I am optimizing is a parameter in that second...
  50. J

    Load Flow Order of Jacobian Matrix Power System

    I'm studying Newton Raphson Method in Load Flow Studies. Book has defined Jacobian Matrix and it's order as: N + Np - 1 N = Total Number of Buses Np = Number of P-Q Buses But in solved example they've used some other formula. I'm not sure if it's right. Shouldn't order be: N + Np - 1 N = 40 Np...
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