Harmonic Definition and 1000 Threads

Homework Statement A high pass filter tuned for a corner freq. of 40 000 rad/sek and with a damping coeffisient of 1/sqrt(2) is being subjected to a square wave voltage with amplitide of 1 volt and 8000 rad/sek. What is the amplitude of the fifth harmonic on the output side of the filter...

Homework Statement An object of mass m is suspended from a vertical spring of force constant 1800 N/m. When the object is pulled down 2.50 cm from equilibrium and released from rest, the object oscillates at 5.500 Hz. a) Find m, b) Find the amount the spring is stretched from its unstressed...

Homework Statement When a 0.870kg mass oscillates on an ideal spring, the frequency is 1.33Hz. a) What will the frequency be if 0.290kg are added to the original mass? Try to solve this problem without finding the force constant of the spring. b) What will the frequency be if 0.290kg are...

Homework Statement I need to transform the Hamiltonian of a coupled Harmonic Oscillator into the sum of two decoupled Hamiltonians (non-interacting oscillators). Homework Equations H = H1 + H2 + qxy, where H1=0.5*m*omega^2*x^2+0.5m^-1P_x^2 and H2=0.5*m*omega^2*y^2+0.5m^-1P_y^2, and q is...

Homework Statement Use a series expansion ψ=A0x0+A1x1+A2x2+... to determine the three lowest-order wave functions for a harmonic oscillator with spring constant k and mass m, and show that the engergies are the expected values. Homework Equations Series expansion given above Time...

Homework Statement Let S_n = 1 + (1/2) + (1/3) + (1/4) + ... + (1/n) a) What value of n is required such that S_n > 100? b) Show how one can form a stack of identical blocks (one per row), each 1 ft long, so as to form a "wing" (I don't know what the correct word in English is, but I...

good afternoon I am a graduate student in Jordan and i am working on my graduation project about harmonic studies in our university hospital and I've got data from power analyzer -all harmonics voltages and currents until 25th harmonic (sampling every 1 min). -all rms data currents...

Can someone explain to me how a low pass harmonic filter works in laymens terms? I would really appreciate it?

Hi, I am currently confused about something I've run across in the literature. Given that \nabla^2\phi = \phi_{xx}+\phi_{zz} = 0 for z\in (-\infty, 0] and \phi_z = \frac{\partial}{\partial x} |A|^2 at z=0. for A= a(x)e^{i \theta(x)} . The author claims that...

I had my physics midterm today and I totally blanked out. I want to know how to solve it for next time. So In the picture, there are two springs connected to the mass on a platform. a) if the platform is at rest, find the angular frequency the expression for angular frequency is...

Hello everyone, i'm looking for anypaper or such kind of thing that explain the resolution of the harmonic oscillator in the Dirac Theory. I have worked with the exact spin symmetry. I feel like a fish out the water and I'm sure that there are lot of bibliography about this area, but i...

Homework Statement A 200-g object is oscillating in simple harmonic monition with an amplitude of 2 cm and a period of 0.4 seconds. Find the velocity when its displacement from the equilibrium position is 0.5 cm. Homework Equations Restoring Force = -(constant force)(displacement)...

Homework Statement An elastic string is attached to A on a horizontal plane and a mass is attached to the other side of the rope.Then the rope is pulled to C and release.It engage in SHM from C to B and D to E and so on natural length = l extension = a max end points = E & C...

I have fashioned permanent magnet alternators with air cores and with iron cores. The air core units generate a sine wave (or something close to it), but the iron core units have third order harmonic distortion, (see waveform). Why is this?

Homework Statement A 1.00-kg glider attached to a spring with a force constant 49.0 N/m oscillates on a frictionless, horizontal air track. At t = 0, the glider is released from rest at x = -3.50 cm (that is, the spring is compressed by 3.50 cm). Find the position, velocity, and...

Homework Statement An object is undergoing simple harmonic motion with period 1.190 and amplitude 0.640 At t=0 the object is at x=0 . How far is the object from the equilibrium position at time 0.475 ? Homework Equations The Attempt at a Solution x=Acos(ωt+∅) x=...

Homework Statement An object is undergoing simple harmonic motion with frequency = 3.2 Hz and amplitude = 0.12 m. At = 0 the object is at = 0. How long does it take the object to go from = 0 to = 7.2×10−2 m? Homework Equations The Attempt at a Solution s(t)=Asin(ωt)...

Homework Statement A block is attached to a horizontal spring with k = 75 N/m undergoes SHM with an amplitude of 0.15m. If the speed of the block is 1.7 m/s when the displacement is 0.12m from equilibrium, what is the mass of the block?Homework Equations E = E' E_{k} = \frac{1}{2}mv^{2} E_{s} =...

An object of mass m is supended from a vertical spring of force constant 1269 N/m. When the object is pulled down 0.068 m from equilibrium and released from rest, the object oscillates at 10 Hz. The mass of the object is ____ kg. τ= 2∏*sqrt(M/K) M = mass K = spring constant 1/f = τ...

Homework Statement A 4kg mass remains at rest on a friction free surface due to equal and opposite pulls of two springs. Spring 1 is stretched 4 meters. The k in spring 1 equals 40 N/m and the k in spring 2 equals 60 N/m. This is what the the picture looks like in words. From left to the...

Homework Statement A mass m is attached to a spring of stiffness k. The spring is attached to the ceiling and the mass hangs freely from the spring under the force of gravity. (a) Derive the equation of motion for this system. (b) Find an expression for the equilibrium position of the...

At classical harmonic oscillator, total energy is proportional to square of frequency, but at quantum harmonic oscillator, total energy is proportional to frequency. Are those two frequencies the same? How it is with transition from quantum harmonic oscillator to classical harmonic oscillator...

Homework Statement In an engine, a piston oscillates with simple harmonic motion so that its position varies according to the following expression, where x is in centimeters and t is in seconds. x = (7.00 cm) cos(4t + π/6) At t = 0, what is its velocity? Homework Equations v(t)...

Homework Statement Speed of particle executing simple harmonic motion with amplitude A is half of the maximum speed. At that instant, displacement of the particle is ? Homework Equations The Attempt at a Solution

A mass on a spring undergoes simple harmonic motion with amplitude A. a) In a time equal to three periods, what is the magnitude of the displacement of the mass? b) In a time equal to three periods, what actual distance did it travel? In the first part, I was at first trying to use an...

I have a pendulum swinging with frequency w in a frictionless environment and I apply a periodic harmonic driving force also at frequency w but out of phase with the swinging pendulum. What happens exactly? Does the driving force bring the pendulum into phase with the force and then we see the...

Hello, I have this problem with deriving the formule from de definition of potential energy Picture show a mass-spring system in rest position: In general potential energy can be written as dot product: \frac{dE_{P}}{d\overrightarrow{y}}=-\overrightarrow{F}. Potential energy wil...

The position of a particle is given by x = (6.6)cos(4.1t) where t is in seconds. The frequency of the particle's oscillation is ____ Hz. I am completely at lost for this, its a new chapter in ap physics, and i don't understand it at all, my teacher is really busy so can someone explain...

Homework Statement These questions are regarding water undergoing SHM in a u-tube. Q1) What is the effect on the time period and damping in a u-tube when using oil instead of water? Q2) What is the effect on the time period if the liquid (inside the u tube) is heated? Q3) How can...

Homework Statement Assume that u is harmonic everywhere in R^2, and let v(x,y)=\int_0^y u_x'(x,t)dt - \int_0^x u_y'(s,0)ds show that f=u+iv is entire analytic. Homework Equations Maybe Cauchy Riemann: u_x'=v_y' and u_y'=-v_x' The Attempt at a Solution I have only tried to see...

Homework Statement Find the amplitude and phase shift of the following two superposed harmonic oscillations. Homework Equations x1(t)=3sin(2∏t+∏/4) x2(t)=3cos(2∏t) The Attempt at a Solution Ok normally i would be able to do this, however one oscillation is cos and the other sin...

I have a question regarding an oscillator design from a controls perspective. An ideal harmonic oscillator has just 2 poles, both on the imaginary axis, and their location along the axis determines the frequency of oscillation as well as the amplitude. Now, please correct me if this is...

Homework Statement I'm looking at the 1d harmonic oscillator \begin{equation} V(x)=\frac{1}{2}kx^2 \end{equation} with eigenstates n and the time dependent perturbation \begin{equation} H'(t)=qx^3\frac{(\tau^2}{t^2+\tau^2} \end{equation} For t=-∞ the oscillator is in the groundstate...

Two Non Interacting Particles Interact with a external harmonic Potential. What are the energy levels of the system, and the partition functions when assuming the particles are (b) Bosons and (c) Fermions 2. Homework Equations Energy of the system E=(ρ1)^2/2m + (ρ2)^2/2m+ mω^2/2 (x1+x2)...

So I was just thinking about regenerative braking, piezoelectric sensors/strain gauges, magnetic-induced currents etc. and I thought of a question that would make a simple/decent discussion/practice in general engineer/physics (lots of /'s) Suppose you have a simple harmonic oscillator :: WALL...

Let's say I have a 2D harmonic oscillator: Homework Statement The potential is of course defined by: V = 1/2m(Omegax)x^2 + 1/2m(Omegay)y^2 Homework Equations Generally when doing a harmonic oscillator we find that in two dimensions the energy is just: (Nx+Ny+1)hbarOmega is the energy. How...

Homework Statement A mass m is attached to a horizontal spring of spring constant k. The spring oscillates in simple harmonic motion with amplitude A. Answer the following in terms of A. At what displacement from equilibrium is the speed half of the maximum value? Homework Equations PE1 +...

I understand that the harmonic series, \frac{1}{x} is divergent because: \int (1/x) from one to infinity is: [ln(infinity) - ln(1)] which is clearly divergent. BUT When I look at the graph of \frac{1}{x} versus \frac{1}{x^{2}} they both look like they are converging to zero as x...

A mass between 2 springs moves with shm. it oscillates between 2 points 5cm apart and completes 40 oscillations in 1min whats its max speed? Please help i always get the wrong answer The answer is 0.44 but why?

Homework Statement I showed earlier this semester that in the presence of a "constant force", F_{o}, i.e. V=-Fx, that the eigenvalues for the Harmonic oscillator are shifted by \frac{F^{2}}{2m\omega^{2}} from the "unperturbed" case. It was also discussed that x\rightarrow...

Homework Statement A massless spring is hanging vertically. With no load on the spring, it has a length of 0.22 m. When a mass of 0.68 kg is hung on it, the equilibrium length is 0.75 m. At t=0, the mass (which is at the equilibrium point) is given a velocity of 4.88 m/s downward. At...

Homework Statement Using the normalization constant A and the value of a, evaluate the probability to find an oscillator in the ground state beyond the classical turning points ±x0. Assume an electron bound to an atomic-sized region (x0 = 0.1 nm) with an effective force constant of 1.0...

A function u is harmonic in a domain containing the closed disc x^2+y^2 ≤ 1. Its values on the boundary are given in terms of the polar angle # by sin# + cos#. Without finding u find a. its value at the centre of the disc b. its maximum and minimum values on the closed disc. The disc is...

Hi, I have a set of numbers. Some of the individual numbers have harmonic relationships to others in the set but not all. What is the quickest way to determine if two or more numbers in the set have harmonic relationships?

The YouTube video here will get you to think a bit. Basically, 15 separate pendulums that create various patterns: I wonder though if you could say how many given patterns are created. Not sure how to describe that... what do you think?

I'm not understanding the following formula. I'm a computer programmer and was given a set of formulas to have an application to solve; however I'm not completely understanding how this works. I'm just looking for a step by step way to solve this and an explanation on why there are 3 assignment...

Ok here's the question: A body m is attached to a spring with spring constant k. While the body executes oscillations it also experiences a damping force F = -βv where 'v' is time derivative of displacement of the body from its equilibrium position. I believe equation of motion is F =...

Homework Statement A 300g mass at the end of a spring oscillates such that it is a 2.0cm above the top of a table at its lowest point and 16cm above at its highest point. Its period is 4s. Find the Speed & acceleration of the mass when 9 cm above the tabletop?Homework Equations F=Kx A...

Hey guys, For a particular problem I have to determine the total degeneracy across N 3-D Quantum Harmonic oscillators. Given that the degree of degeneracy for a 3-D harmonic oscillator is given by: (n+1)(n+2)/2 and the Total energy of N 3d quantum harmonic oscillators is given by...

A 0.1-kg mass is attached to a spring having a spring constant 3.6 kg/s^2. The system is allowed to come to rest. Then the mass is given a sharp tap, imparting an instantaneous downward velocity of 0.4 m/s. If there is no damping present, find the amplitude A and frequency ω of the resulting...