Coupled Definition and 414 Threads

Okay, I know that this is probably a simple question but I've always been good at doing the complicated things and bad at doing the easy things :D Here's what I've got: Find the general solution for the system of coupled ODEs. Determine kind and stability of the critical point. Sketch phase...

im doing a simulation on a magnetic moment in a magnetic field B and I am quite stuck. its a set of coupled equations: m'-x=B*m-y & m'-y= - B*m-x where m-x is the x component, ' is rate of with respect to time etc. the vector should be precessing in a circle with frequency w= - B, B is set...

Now I need to solve a transient problem involving both conduction and convection. Homework Statement In this problem there's a thin plate being heated by two constant-temperature sources. One small source is in contact with part of the plate. Another one is separated with the plate by air...

Hi, I have the following problem to solve. My system can be defined as a set of coupled differential equations as described below: dy/dt = -a*y(t) + b*x(t) + (m-y(t))*r; dx/dt = a*y(t) - b*x(t) + (n-x(t))*r; where m,n and r are constants. I have the values of y(t) and x(t) for...

Homework Statement Two masses are connected via a spring. Write the equations of motion, solve them (x(t)), and find the normal mode frequencies. Homework Equations F=ma F=-kx The Attempt at a Solution I set up two equations: F_{1}=ma_{1} , F_{2}=ma_{2}...

Homework Statement An object of mass m and another of mass M = 2m are connected to 3 springs of spring constant horixontally. The displacement of the two masses are defined as x and y. When x = y = 0, the springs are unextended. a) Write down the two coupled equations of motion...

Hi, folks. I'm new to this forum. I joined because i am so desperate in solving a 2nd-order coupled nonlinear differential equation for the motion of a system similar to an inverted pendulum model. The equation, which i will call here EXACT governing eqn, is this A(s) s" + B s' + C(s, s')...

[SOLVED] potential of coupled oscillators Homework Statement http://cache.eb.com/eb/image?id=2480&rendTypeId=4 How do you calculate the potential energy of the coupled oscillators in the picture with spring constant k_1,k_2,k_3 as the spring constants from left to write?Homework Equations The...

Hello everybody, I have a problem here related to QFT in a research project. I end up with some Dirac equation with space-time dependent mass in 2 spatial dimensions. More mathematically, the PDE to solve is \left( {i\left( {\sigma ^i \otimes I_2 } \right)\partial _i + g_y \varphi...

Hello, I am a computer science researcher and I have had my last physics and math courses several years ago so I wish you bear with me. I need to computationally solve "Nonlinearly coupled Langevin equations" (used in a paper series from Dirk Helbing for ex. the paper "Social forces model...

Hello all. I am having a substantially difficult time with what should be, actually, a very simple problem. I have three masses, each with a spring on each side (so three masses and four springs total in the system). My problem is writing down the equations of motion. I can do it when...

I have studied chemistry thorugh ACS chemistry book published by Freeman. Now I am studying chapter 10, Reduction-Oxidation and I have some problem with Coupled Redox Reactions, 10.8. I couldn`t understand the meaning of coupled reaction. When I found the definition of it, it made...

Homework Statement A particle of mass m1 is attached to a wall by a spring of constant k. A second particle of mass m2 is attached to a different wall by another sping of constant k. The two masses are attached to each other by a third spring of constant k. Let x_1 and x_2 be the displacement...

Hello group, Now I am solving a problem of waves in a piezoelectric body including thermal effect in a infinite domain. The physical quantities are involved including displcement{u_1,u_2,u_3},electric potential{phi} and temperature increment{T}. The waves are, in general, assumed as forms...

I have three equations (\frac{\partial}{\partial t} + c \frac{\partial}{\partial z}) E_p(z,t) = i N_r(z) \sigma_{ba}(z,t) \frac{1}{i E_c^*(z,t)}(\frac{\partial}{\partial t} + \Gamma_{bc}) \sigma_{bc}(z,t) = \sigma_{ba}(z,t) -\frac{E_p(z,t)}{E_c(z,t)} + \frac{1}{i...

Homework Statement For coupled coils in this arrangement (illustration attached), show L_{eq} = \frac{L_1 L_2 - M^2}{L_1 + L_2 - 2M} Homework Equations KVL (mesh analysis) The Attempt at a Solution As you can see, I get to a final answer - which is not exactly the same...

Homework Statement The problem asks to determine the break frequency at the base of Q2 (which is fine I have no problem with that), but the whole assignment never asks for the break frequency at the COLLECTOR of Q1, then later asks to produce a bode plot of the transfer function. See the image...

This has been frustrating me: Problem: The pulley in the figure is essentially weightless and frictionless. Suppose someone holds on to m=10.0 kg and accelerates it upward at 4.905 m/s/s. What will then be the tension in the rope given that M=10.0 kg? Attempt: The sum of the forces...

I have a question about a question; I know how to solve it, but I want to know why I can't do something to get the answer: Problem is: Standard pulley problem setup. A mass, M, equaling 2.00 kg is on top of a table with a frictionless surface. A second mass, m, equaling 10.0 kg, is...

Hi, Can anyone please tell me how to go about solving this system of coupled ODEs.? 1) (-)(lambda) + vH''' = -2HH' +(H')^2 - G^2 2) vG'' = 2H'G - 2G'H lambda and v are constants. And the boundary conditions given are H(0) = H(d) = 0 H'(0) = omega * ( c1 * H''(0) + c2 * H'''(0) )...

i am assigned to perform an experiment on coupled pendulum using a motion sensor program. the set-up is basically consist of a computer with a motion sensor program, a camera, and the coupled pendulum. i just want to ask what will be the best thing to investigate or experiment about with the...

Homework Statement Find the energy levels and the wave functions of two harmonic oscillators of mass m_1and m_2, having identical frequencies \omega, and coupled by the interaction \frac{1}{2}k(x_{1}^{2}-x_{2}^{2})^2 Homework Equations Schrodinger equation. The Attempt at a...

This isn't a homework problem specifically, but I was wondering if it is possible to find the period, amplitude, etc of a slightly more complex system. I found one on this page...

Hey, I'm just having some trouble getting started with this problem. ------------- ( ) ( m1 ( ) ( 2m1 Crude representation: (The parantheses are supposed to be the springs) There is a mass (m1) that is attached vertically to a board by a spring of...

1. For a project on elementary particle physics I have to consider a gauge theory with the gauge group SU(5) coupled to a scalar field. I am to use a certain non-zero vacuum expectation value for the scalar field and check what happens to the gauge bosons. I have already done this for...

I have been learning oscillations this sem and found solving system of coupled oscillators a very common subject in this course.. I want to know if the procedure is always:(can be either a spring sys or pendelum system..) 1.lay down n equations for n coupled oscillators including Xn and w and...

To start i have no idea if space has some (coupling) to matter, but if it has-------- On the less than large scale our universe is inhomogonous, and is getting more so with time (gravity is sweeping up matter into clumps) so if there is some coupling between space and matter, and matter is...

Homework Statement I need to find the general solution for: R \frac{dQ_{1}}{dt} + \frac{1}{C}(Q_{1}-Q_{2})=0 R\frac{dQ_{1}}{dt} + L\frac{d^2Q_{2}}{dt^2}}=0 For the case R=1\times 10^3, L=4\times 10^{-3}, C=1 \times 10^{-9}. The Attempt at a Solution As an attempt I looked for solutions...

Homework Statement say the coupled angular momentum eigenstate for two p elections is |2211>. I am asked to operate on the eigenstate with L^2 and L_{z} to verify lm Homework Equations L^2 = L_1^2 +L_2^2 +2L_{1z}L_{2z}+(L_{1+}L_{2-}+L_{1-}L_{2+}) L_{+} |l,m>=|l,m+1> L_{-} |l,m>=|l,m-1>...

I have a problem.. for a reaction A + B --> C how do i generate 3 coupled differential equations so that i can sole this using MATLAB ? it is given that rate = kAB thnks!

I have two coupled harmonic oscillators: \ddot{x}_{1} = -2kx_{1} + kx_{2} + f(t) \ddot{x}_{2} = kx_{1} - kx_{2} Mass 1 is at position x_{1} and subject to force f(t). I take the Laplacian of the first equation and solve for X_{1} to get X_{1} = \frac{ F(p) + k X_{2} }{ p^{2} + 2k }...

I must solve the following two coupled EDOs in the context of a Lagrangian mechanics problem (a rigid pendulum of length l attached to a mass sliding w/o friction on the x axis). The problem statement does not mention that we can make small angle approximation. It says "find the equations of...

Homework Statement Consider two coupled oscillators. The Hamiltonian is given as H=p1^2/2m + p2^2/2m +1/2m*omega^2*[x1^2+x2^2+2*lambda*(x1-x2)^2] Separate the center of mass and relative motion and find the eigenfunctions and eigenvalues. Homework Equations relative coordinate ...

Homework Statement The question then goes on to say: Decompose the resulting oscillation as a superposition of symmetric and antisymmetric mode oscillations. Hence give A and B in terms of C Homework Equations The Attempt at a Solution Well as of yet I'm not sure I fully...

Hi, I'm looking for an analytical solution to this set of coupled equations: U^{'}_{i}(x)=c (f_i(x)-(\vec{U}\cdot\vec{f})U_i(x)) Where the vectors are 3 dimentional, c is constant and f is a vector of given functions: f_i(x) , i\in 1..3 There probably isn't one but I thought I'd...

"Coupled Phosphorylation" For school I am being forced to read SIlent Spring by Rachel Carson(which bores me to death, but anyways...) The author goes into very little detail on what coupled phosphorylation means, which is confuusing me every time she brings it up...Any helpon what this is...?

Hi folks! I'm trying to (numerically) find a steady-state solution for N_b and N_w in the following set of coupled DEs using the software package Matlab: \left{ \begin{array}{l} \frac{\delta N_b}{\delta t} = P_b(N_b) - N_b \cdot \left( \frac{1}{\tau_b} - \frac{1}{\tau_c}D \right)\\...

Dear readers :) I've tried to figure this out for quite some time now, I hope anyone can help me on this: I'm looking for the differential equations for 2 PARALLEL oscillating circuits coupled by a capacitor. I've tried to start similar as in http://www.ruhr.de/home/leser/mathe/355.pdf...

Hello all, I wanted to know if there are ways to find analytical solutions for a set of equations defined as follows: 1) x''(z) + B(y,z)*y'(z) + C(y,z) = 0 2) y''(z) + B(y,z)*x'(z) = 0 where ' represents derivative wrt z. and we need to determine y(z) and x(z). B(y,z) and C(y,z) are...

Hi, I have a system of three coupled nonlinear ODEs: \frac{d}{du}(nu)=exp(-\phi), u\frac{du}{dx}=\frac{d\phi}{dx}-\frac{u}{n}exp(-\phi), \frac{d^2 \phi}{dx^2}=n-exp(-\phi), with boundary conditions \phi=\phi'=u=n=0 \text{ at } x=0 Does anyone know, or have references...

Hi guys, I'm stuck on a problem that states: Two equal masses oscillate in the vertical direction. Show that the frequences of the normal modes of oscillation are given by: \omega^2 = (3 +- \sqrt{5})\frac{s}{2m} and that in the slower mode the ratio of the amplitude of the upper mass to...

I need your help to solve this problem on coupled harmonic oscillators. Two masses m1 and m2 are attached to two rigid supports by means of springs of force constants k1 and k2 respectively. The masses are connected to a third spring of force constant k3. The masses are free to move along the...

Ok here's the problemo: | |ooooo[m1]00000[m2] | I have two masses attached to two springs, the "ooo"s are the springs, and the "[m]"s are the masses, the spring constants are the same , and so are the masses. I know to do the problem, the only thing is I am having trouble figuring out the...

Hello I'm having a bit of trouble with analysing some of the coupled oscillator questions in terms of the energy functions. Here is a coupled oscillator diagram: http://img356.imageshack.us/img356/28/coupledlagr4fx.png Now for this one my main problem is that I don't know how to come up...

I am not quite getting how this works: i have a serially connected two inductors L1 and La (primary) and a secondary circuit with also two inductors (L2 and Lb), the problem asks to find input impedance in s-domain. The answer given is s[La + L1 - M2/(L2 + Lb)] so, could someone explain how...

hello i must do a project in maths the topic is ( Coupled differential equation ) can i get some sites that help me to do the project? :smile:

I am given a set up with two pendulums of unknown mass m, of length =.4 meters. They are connected together with a spring of unknown spring constant k. It says when one of the bobs if fixed in place the other has a period of 1.25 seconds. I am then asked to find the period of each normal mode...

Hello i have a question : dx/dt=(a*x)+(b*y)+(c*z) dy/dt=(d*x)+(e*y)+(f*z) dz/dt=(g*x)+(h*y)+(i*z) where a,b,c,d,e,f,g,h,i are constants i want a proof of this and finding the values of x,y and z?? :smile:

here i got initial value of cg and i need to find cg vrs. t The model equations were derived form the assumptions and the model structure. The main mass balances in each phase are described by the following equations, where j refers to the vertical segment along the height of the...

Dear Forum, My question is to the circuit drawing I have attached. (representing a simplified rfid system, with "Circuit 1 being the tranceiver antenna, "Load" being a transponder and "Circuit 2" represents an additional circuit between) ... For optimal performance the circuit should...