Oscillations Definition and 518 Threads

Hi, why is it that as the frequency of the driver decreases below the natural frequency of the oscillator it reaches a fixed amplitude when the external frequency is zero whereas whenever you go to the other extreme and have a very high external frequency the amplitude of the oscillator...

Hello Everyone! Homework Statement There exists a very large (discrete) system of N coupled masses, each of mass "m", where every pair is connected via a spring of constant "K". Assuming all motion is horizontal, find the amplitude of the oscillations of an nth mass in the system, under the...

Consider a slab infinite in x,y direction but very thin in z direction. As a classical model assume that we displace the electron gas surrounding the static iron cores slightly. With this picture, does the electron gas then consitute a harmonic oscillator? The electric field from an infinite...

Homework Statement In my homework I have to determine how do the speed (constant speed) (V) of damped mass and geometric characterictis of ground (b, h) influence on oscillation values of a model represented on a picture below. Model represents a vehicle driving on a sine wave ground. I...

Q: http://gyazo.com/1ee7eee0134c25a23b4ad7a6972e1e46 part a) I have drawn the graph and calculated ## V'(x) = \dfrac{3\lambda x^2 (x^4 + a^4) - \lambda x^3(4x^3)}{(x^4+a^4)^2} = 0 ## and found using the graph that the value of x when the particle is in a stable equilibrium is ## x=...

Homework Statement (image attached) For the circuit of Fig.30.17 in the textbook, let C = 13.0nF , L = 27.0mH , and R = 80.0Ω . A). Calculate the oscillation frequency of the circuit once the capacitor has been charged and the switch has been connected to point a B). How long will...

1. A spherical buoy of radius r floats half-submerged in water. If it is depressed slightly, a restoring force equal to the weight of the displaced water presses it upward; and if it is then released, it will bob up and down. Find the period of oscillation if the friction of the water is...

Homework Statement Bead (mass point - mass m and charge q) is free to move in a horizontal tube (without friction). The tube is between two spheres (separated by a distance 2a) with charges Q = − q. What is the frequency of small oscillations around the equilibrium point of the bead...

Homework Statement A spring of rest length L (no tension) is connected to a support at one of the ends and has a mass m attached to the other. Write the Lagrange equations. Discuss the movement for small departures from equilibrium. Homework Equations I did the first part, and I found...

Hi, I tried to solve this problem myself and I'd like someone to check it :) Thanks already! A ball is rolling towards a block, which is connected to a spring. Assume no friction occurs. The initial velocity of the ball is 10 m/s. The spring constant is k = 5 N/m. Mass of the ball = 5 kg and...

Hi, As part of a larger hobby project, I'm building a microgram balance based on the one described at Sci-Toys.com, but I believe my questions are appropriate for the "general physics" forum. Background: I purchased a 36" threaded steel rod, connected it to a razor, and then put it on a...

Homework Statement A single loop circuit consists of a 7.2 ohm resistor, a 11.9 H inductor, and a 3.4*10^-6 F capacitor. Initially the Capacitor has a charge of 6.3*10^-6 C and the current is zero. Find the charge on the capacitor N complete cycles later for N=5.Homework Equations 2. Homework...

Hi everyone, i was thinking this. I saw in here someone said that, our heads atoms are osscilating with high frequency than feet. Since aftee seeing it, i was thinking if every atom osscilating, is that dark matter are not osscilating? What do you think?

what gives rise to eigenfrequencies?

In some texts about plasmas, the plasma oscillations are discussed at the extreme of no Thermal motion. One example is the one in wikipedia: But I can't accept that approximation.Because it is assuming that we have a kind of motion called thermal motion and other kinds which arise from other...

Homework Statement In the given picture, I need to formulate some kind of solution to find functions for the current, knowing that the two inductances create a mutual inductance (coupling) The Attempt at a Solution I start by formulating these two equations where M is the mutual...

Homework Statement This problem was given in my physics test, and my physics teacher was unable to provide me with an answer for it. Given a circuit made up of a generator of variable frequency, i=Im(sin2∏ft-∅) and voltage u=Um(sin2∏ft), capacitor of capacitance 1μF, resistor of resistance...

So I recently came across this video in youtube: . The vibrations of the string definitely look like sinusoidal waves to me and I know that if a string is fixed at both ends then it will display the pattern of nodes and antinodes by producing a standing wave at certain frequencies. Is this how...

Hello, I calculated the transient response of a weakly coupled transformer (M ≠ L1L2), for a heaviside step function input. I get a decaying oscillatory response, even though I didn't include any capacitance, can this be? If interested here is the angular frequency I get...

Homework Statement You have a job at a medical forensics lab investigating an accident at a commuter railroad station. Your task is to determine the response of the safety system that prevented a railroad car from crashing into the station. Because the brakes on the passenger car failed, it...

Homework Statement We are to develop the equations of motion for an undamped horizontal spring system, the mass of which is being driven by a periodic force: F=F0 cos wt. I know how to do it but my teacher has defined an odd term, the meaning of which I want to be clarified. Homework...

Does anyone know any site with a good set of notes on coupled oscillations?

Homework Statement Oscillation in mechanical structures can often be described by the function: y(t)=(e^(-t/τ))*sin(ωt+θ) Where t is time , ω is oscillation frequency in radians per unit time. The oscillations have a period of 2*π/ω and their amplitudes decay in time at a rate...

Homework Statement From Goldstein Classical Mechanics, 6.16: A mass particle moves in a constant vertical gravitational field along the curve defined by y=ax4 , where y is the vertical direction. Find the equation of motion for small oscillations about the position of equilibrium. The...

Homework Statement Consider a light elastic string of unstretched length ##4a_o##, stretched horizontally on a smooth surface between two fixed points a distance ##4a## apart. (##a > a_o)##. Three particles of mass m are attached so as to divide the string into four equal sections. Number...

Homework Statement I'm studying small oscillations. When can I say that an orbit is closed? The Attempt at a Solution I remember that there is a ratio that must be a rational number but I don't remember other thing... Thank you!

someone can suggest some article or book, that explains the phenomenon of Rabi oscillations in a quantum dot? thanks and sorry for my english ;)

Homework Statement I'm solving an exercise about small oscillations. I name T the kinetic matrix and $H$ the hessian matrix of potential. The matrix \omega^2 T- H is diagonal and so find the auto-frequencies is easy! But I have a problem with normal modes. The lagrangian coordinates are two...

Hello. I have got question. We have stick (its diameter is much smaller than its length). When you hit it with a hammer into a corner, some waves will spread, it is clear. However, how do they look? I'm interested in longitudinal oscillations stick. How can draw these wavefront? How their shape...

Hey, I'm trying to get my head around neutral Kaon oscillations. As far as I understand it neutral Kaons can change between K^0 and \overline{K^0} as they propagate. Going through the quantum mechanics of this implies that this oscillation must be facilitated by a mass difference between the...

Homework Statement A child on a 4m long swing is pulled back 1m from the vertical and released with a push imparting a speed of 2m/s. Find an expression for the angle θ, as a function of time, identifying the frequency ω, amplitude θi, and phase constant δ. Homework Equations θ =...

Homework Statement I have a mass, B, attached to a vibrating wall. The wall is vibrating at two frequencies, .01 Hz and 75 Hz (later in the problem it turns out that we want to transmit the .01 Hz but not the 75 Hz oscillations). The spring constant is k=154 N/m, the mass of the block B is 54.7...

Hi, I'm studying Small Oscillations and I'm having a problem with normal modes. In some texts, there is written that normal modes are the eigenvectors of the matrix $V- \omega^2 V$ where V is the matrix of potential energy and T is the matrix of kinetic energy. Some of them normalize the...

Hey everyone. I have 2 relatively basic questions about horizontal springs. I feel like the questions are actually very simple (it's just high school physics) but I think I'm approaching it the wrong way. Any help would be greatly appreciated. 1. I'm supposed to find the spring constant when a...

How do you find the force extended if given the amplitude? Is main questions, I also have one slight question. Ok, doing a problem. There is no damping. A (.15kg) object is hanging from a light(6.30N/m) spring. A sinusoidal force with an amp of 1.7 N drives the system. And the problem is...

Hello everyone! Here is the link to the problem: http://i.imgur.com/2HNrQ.jpg I don't even know where to start. Any help to get started would be greatly appreciated. Thank you so much. Cheers

http://www.google.pt/imgres?q=pendulo+acoplados+resson%C3%A2ncia&um=1&hl=pt-PT&sa=X&biw=1280&bih=656&tbm=isch&tbnid=BSwiWnZmGwlLGM:&imgrefurl=http://www.oficinadaciencia.com/Produtos/Default.aspx%3Fid%3D6493&docid=n05kCljLeoXYCM&imgurl=http://www.oficinadaciencia.com/imgs/ReadImage.aspx%253FpId%2...

Hi all I'm just studying the QHE and Shubnikov de Haas oscillations. There are two points I find somehow confusing: 1. If you look at ρxx (resistance along the direction of applied field), you will find oscillations of this resistance as a function of the external magnetic field. Whenever...

Two questions. 1. Different flavors have different mass. Look at it from the frame where neutrino is at rest. What’s about energy conservation? Are neutrinos oscillating so quickly that uncertainty principle plays role? 2. Why oscillations of neutral Kaons form 2 new “particles” (K-long and...

Homework Statement I was asked an interesting question once that I'd like to solve but have no idea where to start. It's hard to remember the exact details but basically: Two electrons are in a harmonic oscillator potential but in two separate states \left | m \right \rangle and...

Dear friends, In small oscillation problem of classical mechanics, the generalized force is zero (Eq. (6-1)) of the Goldstein book. The suffix 'i' represent the the particle number or coordinate? In Eq. (6-3) of the same problem the summation convention is used. what is the purpose of...

Why oscillations occur in transient response of a system ? Suppose transfer function of a system is 1/(s+1). Then its impulse response will be c(t)=e^{}-t . So why just we don't show only an exponential curve to graphically represent the impulse response, why we also show the oscillations ?

http://www.google.com/patents/US685012?printsec=abstract#v=onepage&q&f=false Is this system used today in electrical transmission? If not why not?

Homework Statement Two positive point charges Q are held fixed on the x-axis at x=a and x=-a. A third positive point charge q, with mass m is them placed on the the x-axis away from the origin at a coordinate x such that lxl<<a. The charge q, which is free to move along the x-axis, is then...

Hi all, I know that if you drill a hole from one side of the planet to the other, through the planet's center, that a particle dropped in this tunnel will oscillate back and forth forever, like a mass on a spring, with the restoring force given by gravity. What if the tunnel forms a chord...

Homework Statement Basically the issue is Landau & Lifgarbagez mechanics says δl = [r2 + (l + r)2 - 2r(l + r)cosθ]1/2 - l ≈ r(l + r)θ2/2l Homework Equations θ much less than 1 The Attempt at a Solution I've no idea how to get the thing on the far right. I'm assuming it's...

Homework Statement A M=1.5kg horizontal, uniform tray is attached to a vertical ideal spring of force constant k=185 N/m and m=275g metal ball is in the tray. The spring is below the tray, so it can oscillate up and down. The tray is then pushed down 15cm below its equilibrium position and...

I was just reading R.Feynman's Lectures on physics Vol I and I came across this discussion in which he says that magnetic field results from an electric field i.e relative motion of electrons and so on. Further, he says that the electomagnetic spectrum consists of light waves... The whole...

I was doing some questions on waves and I noticed that some particular questions didn't state whether a transverse or longitudinal disturbance was been driven through the medium. Such questions started like 'A sinusoidal wave moves along a string...' Do the equations that apply to transverse...

Homework Statement Does the time for one oscillation, change during the damped oscillations? and please explain Homework Equations The Attempt at a Solution