What is Coupled: Definition and 414 Discussions

Coupled is an American reality show that aired on Fox from May 17 to August 2, 2016. It was hosted by television personality, Terrence J and created by Mark Burnett, of Survivor, The Apprentice, Are You Smarter Than a 5th Grader?, Shark Tank, and The Voice, as well as Ben Newmark, Dan Newmark and Larry Barron.Filming took place in Anguilla. The cast included Miss Arizona USA 2009, Alicia-Monique Blanco; Miss Colorado USA 2015, Talyah Polee; host, Domonique Price, and American singer-songwriter, TV personality, and former collegiate athlete; Alex Lagemann.
Tyler Gattuso was in the running to be a cast member on Big Brother 17, but was ultimately not chosen due to the news being leaked by online media and his Instagram hinting at the news suggesting he wasn't going to be active for quite a while. A few days later, after the cast for Big Brother was announced, he was ranting on Twitter, shortly deleting them and deactivating his account.On August 8, 2016, Fox canceled the series after one season.

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1. Coupled system of differential equations

For this problem, Would it not make sense to use for ##x' = -sx - gx - ry## as a better version of ##x' = - gx - ry## since the ##sx## term connects the two DEs to form a coupled system (from what the author explains the ##sx## term represent insulin glucose transformation). Thanks!
2. Normal modes of four coupled oscillating masses (Kleppner and Kolenkow)

This exercise comes from Kleppner and Kolenkow, 2nd ed., problem 6-3. I'm using a solution key as a study reference, but the solution key is coming to a pretty different conclusion. Mostly the issue is in the equations of motion for this system. I'm not sure if there's something I'm...
3. I Thoughts about coupled harmonic oscillator system

Same instruction was given while finding value of 'g' by a bar pendulum. In the former case,does the spring obeys hooke's law while it forms a coupled harmonic oscillator system?Does the bar pendulum somehow breaks the simple harmonic motion(such that we can't apply the law for sumple harmonic...
4. A Black hole mass coupled to expansion -- astrophysical source of dark energy?

Observational evidence for cosmological coupling of black holes and its implications for an astrophysical source of dark energy Comments?
5. How Do You Derive and Analyze the Matrix for 3 Coupled Oscillators?

Hi, I am not sure if I have derived the matrix correctly, because of my results in task b I solved task 1 as follows, I assumed that all three particles move to the right $$m \dot{x_1}=-k(x_1 - x_2)$$ $$2m \dot{x_2}=-k(x_2-x_2)-3k(x_2-x_3)$$ $$3m \dot{x_3}=-3k(x_3-x_2)$$ Then I simply...
6. Coupled Vertical Spring-Mass Systems

How should I proceed?

22. Coupling of resonant modes in a 1D Photonic Crystal

In 1D Photonic crystals, a defect can be introduced to create a defect/resonance mode and enable transmission. At first considerations, the thickness of the single defect layer determines the transmission frequency. Moreover, if it is a half-wavelength layer it will enable a resonance condition...
23. I Symmetry and Finite Coupled Oscillators

For an infinite system of coupled oscillators of identical mass and spring constant k. The matrix equation of motion is \ddot{X}=M^{-1}KX The eigenvectors of the solutions are those of the translation operator (since the translation operator and M^{-1}K commute). My question is, for the...
24. A What is a good basis for coupled modes in a resonator?

Suppose, there is an electro-optical modulator that can couple the neighboring modes in an optical ring resonator. The Hamiltonian for the system looks something like this^^ (see the attached image). Here we sum over all modes m and 𝜙0 is a parameter. What will be a good set of basis for the...
25. A Generic Solution of a Coupled System of 2nd Order PDEs

Hi! I am looking into a mechanical problem which reduces to the set of PDE's below. I would be very happy if you could help me with it. I have the following set of second order PDE's that I want to solve. I want to solve for the generic solutions of the functions u(x,y) and v(x,y). A, B and C...
26. Questions About Highly Coupled Magnetic Resonance

This is one of very few in-depth sources of information I can find online about Highly Coupled Magnetic Resonance...
27. Question about a coupled system of pendulums

I am not sure if i get the question... At first i would say it is impossible to give a answer, we can not distinguish. But i think if we know the phases in this instant, we can give and answer, so my answer would be: "If we know, by some reason, what are the phase in this instant, we can give...
28. A Equipartition theorem and Coupled harmonic oscillator system

Dear all, While simulating a coupled harmonic oscillator system, I encountered some puzzling results which I haven't been able to resolve. I was wondering if there is bug in my simulation or if I am interpreting results incorrectly. 1) In first case, take a simple harmonic oscillator system...
29. Devise two damping mechanisms for these coupled pendulums

] I am not sure how i could begin, someone can help me? In the first mode we have a spring not stretched, while in the second, is not only stretched but the balls are outing of phase by 180 ° too.
30. An interesting coupled oscillators problem (multiple springs and masses)

I need to find the differential equations for each mass. ##y_1## is the equilibrium position, and ##y_2## is the second equilibrium position for each mass. I was thinking consider the next sistem: \begin{eqnarray} k\Delta y-mg&=&m\frac{d^2 y_2}{dt^2} \\ -2k\Delta y_1 -k\Delta y_2 -2mg...
31. Transformer Coupled Class A amplifier Single supply

How can Vce vary from 0 to 2Vcc? In class, I learned that it was due to Lenz Law working in the transformer and a voltage of Vcc being induced to reverse the change in Ic. However, I cannot picture this. Can someone please explain with a diagram of how this comes about in the transformer windings.
32. Equation of motion and normal modes of a coupled oscillator

This is a question from an exercise I don't have the answers to. I have been trying to figure this out for a long time and don't know what to do after writing mx''¨(t)=−kx(t)+mg I figure that the frequency ω=√(k/m) since the mg term is constant and the kx term is the only term that changes. I...
33. Coupled pendulum with external force?

I got this picture from a superconducting parametric amplifier text I was reading. (The picture is a mechanical analog of a non-degenerate parametric amplifier.) If the balls(red and blue) were oscillating at their own natural frequencies, and an external force is driven(purple), how would the...
34. Coupled linear stochastic differential equations

In order to solve for ##x##, I need to re-write the equation for ##dx## so it is independent of ##y## and ##dy##. However, I am having some issues with this. Can someone give me a push in the right direction?
35. How Do Coupled Adiabatic Pendula Behave?

Homework Statement: An adiabatic pendulum (right) is coupled via a spring with spring contant κ to a normal non-variable pendulum. The pendula have equal mass m and, initially, equal length l . The right pendulum is adiabatically pulled up with frequency ω(t) 1. Derive the equations of motion...
36. B Matter & Spacetime: How Tightly Coupled Are They?

Hello, I’m not a physicist or studying physics in school; I’ve just read some books and have some questions that I was hoping someone could help with. Sorry if they’re a little basic. I’m trying to understand how tightly coupled matter is to spacetime. In other words, if you could look at a...
37. Current in coupled loops (transformer design)

I think I know the answer,but just to make sure. I have two coupled inductors through a core that provides better flux permeability, aka a transformer, I provide say 5v and 1000 amps AC to the primary loop, in my secondary loop I have a capacitor in series with the loop (of sufficient...
38. Maximum displacement of a coupled pendulum

Hi, So I have this question to solve and I have no idea how to do it. It states: ''How are the maximum displacements of each pendulum related for ω1 and ω2? Draw a sketch that describes the motion of the system in each case. '' The 2 angular frequencies that I have found are ω1 =√(g/l) and...
39. I What does coupling mean in physics?

I am reading Carroll’s Spacetime and Geometry, and I have seen the word “coupled” used multiple times in seemingly different ways. I have gotten the sense that it means some sort of interaction between particles, but Carroll refers to coupling between matter fields and the curvature of...
40. Static solutions of a series of coupled pendulums

Homework Statement The equation of motions of a series of pendulums coupled by a torsion spring is this: ##\ddot{\Phi_i}=-\frac{k}{ml^2}(2\Phi_i-\Phi_{i-1}-\Phi_{i+1})##, where k is the torsion spring constant, m is the mass of a single pendulum, and l is the length of a single pendulum. We...
41. Dynamics of a string coupled pendulum

Homework Statement My problem/task is to explain in elementary terms the dynamics of a string coupled pendulum, the same as in this diagram: Is it simple to make a free body diagram for the pendulums? Is it possible to understand the motion as being caused by SHM oscillation of the top...
42. I Sketching simple coupled oscillators

If I'm given dx/dt = 2π - sin(y - x), dy/dx = 2π - sin(x - y), and finally the conditions x(0) = pi/2 and y(0) = 0, what would be the best way to hand sketch the solutions without using an explicit solution?
43. Transient in a coupled circuit

Homework Statement Homework Equations Kirchhoff's lawsThe Attempt at a Solution Applying KVL on primary, di1/dt+i1=5+2di2/dt...1) Similarly for secondary, 2di1/dt= 4di2/dt + i2...2) After solving these equations using Laplace Transform, I got I1= 5-e-0.2t A and I2 = 2e-0.2t-2e-0.25t. I...
44. The role of permanent magnets coupled with solenoids

I have been experimenting with solenoids used to excite steel guitar strings electromagnetically. These can be found in a variety of infinite "sustainer" products such as the ebow. They generally consist of a pickup, an amplifier and a solenoid which form a simple electromagnetic feedback loop...
45. Coupled 2D harmonic oscillators

1. The problem statementhttps://www.physicsforums.com/attachments/225935 Homework Equations3. I have rescaled coordinates which are X=(x1+x2)/√2 and Y=√3(x1-x2)/√2 for which the potential term becomes for a 2D harmonic oscillator of coordinates X and Y. But how to express Kinetic terms in terms...
46. Mathematical Biology- Coupled ODEs

Homework Statement Attached Homework Equations Below The Attempt at a Solution To be honest I was going to differentiate one equation to get a 2nd order ODE and plug in the other equation, since to me ##v(0)=0## is not strong enough to do as below, am I completely mis-interpreted...
47. Modeling an Einstein solid that is coupled to a paramagnet

I'm working on a project at university to calculate the magnetocaloric effect of dysprosium. This will be done using a new technique designed at the university of which its not necessary to go into detail about. In short, the Dy is placed in a solenoid, through which a current runs, the current...
48. Confusion about two modes of coupled oscillators having same frequency

I am studying coupled oscillations and one of the refrance I'm using says that two modes can have same frequency whereas the other one says it's impossible to have same frequency for two modes. Please help.
49. Weakly & strongly coupled structures in piezoelectric energy harvesting

Hello everyone (and sorry for my average english), I have to make a report on an energy harvesting system from vibrations with piezoelectric elements. During my research, i always read that there two cases in a piezoelectric harvesting system which are : weakly coupled strucutre and strongly...
50. Gravitational potential energy of a coupled pendulum

Homework Statement I'm trying to solve problem a problem of complete energy of doubled pendulum (2 mathematical pendulums connected by a string). For a kinetic energy I would get (1/2) J(w_1)ˆ2 + (1/2) J(w_2)ˆ2 and for a potential energy of a spring (1/2) k (ϕ_1-ϕ_1) What about gravitational...