Oscillation Definition and 770 Threads

Mentor Note -- thread moved from the technical forums, so no HH Tempate is shown...>> 1. (10 points) A pendulum of length l = 39 cm is suspended in a railway car. At what train speed would the pendulum be oscillating with largest amplitude ? The length of the rails is l = 25 m. I am just not...

Homework Statement If a force F = F_0 cos (\omega t) = \Re{\{F_0 e^{i \omega t}\}} is applied to a body of mass m attached to a spring of constant k, and x = \Re\{z\} . Show that the following equation holds: m \ddot{z} = - k z + Fe^{i \omega t} . Homework Equations Newton's second law. The...

Homework Statement two cylinders A and B with the same initial length, standing upright with one another. Then on top of the cylinder is placed a rod horizontally as shown. If the known diameter and Young's modulus cylinder A is twice the diameter and Young's modulus cylinder B. Determine: 1...

Homework Statement Mass M is supported by a smooth table and connected by two light horizontal springs to two fixed blocks. Each spring is of natural length L. Both springs are initially extended by L to get a total width between blocks of 4L. The spring constant of both springs is k. When...

Homework Statement A gong makes a loud noise when struck. The noise gradually gets less and less loud until it fades below the sensitivity of the human ear. The simplest model of how the gong produces the sound we hear treats the gong as a damped harmonic oscillator. The tone we hear is related...

Homework Statement A 1.4-kg cart is attached to a horizontal spring for which the spring constant is 60 N/m . The system is set in motion when the cart is 0.27m from its equilibrium position, and the initial velocity is 2.6 m/s directed away from the equilibrium position. A. What is the...

Homework Statement Write down the equation for a plane wave traveling in perpendicular to the plane x+y+z=constant traveling in the direction of increasing x, y, and z. Homework Equations From the given information how do I determine the unit vector that goes next to E(0)? How do I determine...

Hello, This is just a curiosity of mine, after noticing light falling on a metal pendulum while doing a simple pendulum period measure, in the laboratory, using a mathematical pendulum at a small angle. Given that, there is a (very small) effect on the pendulum caused by the light falling...

(I'm new to the Forum, so if I violate the rules unknowingly, please do let me know) So, during a recent research, I analyzed the frequency spectrum of our hand's oscillation while walking. As it turns out, it contains distinct harmonic frequencies (around 1.8*n Hz), and the second among them...

Homework Statement \ddot x +\omega_0 x = \frac{F_0}{m}sin{\omega_0 t} Homework Equations y_h=C_1 cos{\omega_0 t} + C_2 sin{\omega_0 t} The Attempt at a Solution [/B] So, I complexified this problem, hoping to make it easier. I saw that I couldn't let X_p = Ae^{i \omega_0 t -...

Homework Statement A small block (mass 0.25 kg) attached to a spring (force constant 16 N/m) moves in one dimension on a horizontal surface. The oscillator is subject to both viscous damping and a sinusoidal drive. By varying the period of the driving force (while keeping the drive amplitude...

Homework Statement Consider a particle in an infinite square well potential that has the initial wave-function: Ψ(x,0) = (1/√2) [Ψ_1(x) + Ψ_2(x)] where Ψ_1(x) and Ψ_2(x) are the ground and first excited state wavefunctions. We notice that <x> oscillates in time. FIND the frequency of...

Homework Statement Given X'' + iG^2 X + w^2 X = 0 G^2 = h/m w^2= k/m What would be a good "educated guess" to solve that differential equation? My oscillations and waves teacher asked this on a test and since I didn't see anything depending on the speed of the object X assumed it was a really...

I had a somewhat unnerving experience recently. I had bought a travel trailer (caravan for UK readers) and was towing it home when it started to sway from side to side. The oscillations built up to an extreme amplitude of 90 degrees, limited by the trailer hitting the side of the tow vehicle. I...

Homework Statement Homework EquationsThe Attempt at a Solution if the material are the same in both strings, then the density should be the same. v = sqrt (tension/μ) tension in the first string should be 30 kg x 9.8 m/s^2 = 294 N next, v = λƒ and string#2 needs to have twice the...

What is the difference between simple harmonic motion and oscillation?

Can someone recommend me some good textbooks or articles that contain or focus on statistical thermodynamics and/or oscillatory motion (preferably with advanced math, not just stories)?

How do protons oscillate? Do they move back and forth with a constant velocity, or sort of like a mass on a spring? If so, what is the frequency of oscillation? Thanks

Homework Statement A spring scale hung from the ceiling stretches by 6.3 cm when a 1.2 kg mass is hung from it. The 1.2 kg mass is removed and replaced with a 1.4 kg mass. What is the stretch of the spring? F=mg U (spring force) = 1/2kx^2 Homework Equations The units of cm need to be...

Homework Statement A uniform meter stick of mass M is pivoted on a hinge at one end and held horizontal by a spring with spring constant k attached at the other end. If the stick oscillates up and down slightly, what is its frequency? [Hint: Write a torque equation about the hinge.] The length...

Hi all, I am confused about the terms: Vibration, oscillation and waves. Is vibration and oscillation same or are they different? My understanding is vibration is associated with flexible/deformable bodies and oscillation for rigid bodies. Waves not really having an idea! Any examples of...

hello I suppose electrons oscillate, so do electrons have resonance frequency? ie. a frequency where the amplitude is maximum? and where can I find it? thanks

This came up in the arxivs and had me thinking can this be true? arXiv:1506.05478 [pdf, ps, other] Is the baryon acoustic oscillation peak a cosmological standard ruler? Boudewijn F. Roukema, Thomas Buchert, Hirokazu Fujii, Jan J. Ostrowski Comments: 4 pages, 2 figures Subjects: Cosmology and...

Homework Statement 0.54 kg mass hang vertically from a spring with k= 75 Nm. If the mass is displaced 3 cm vertically and allowed to oscillate, what is the frequency of oscillation? Homework Equations T= 2(pi) ((sqrt)(m/K)) F= 1/T The Attempt at a Solution T= 2(pi) ((sqrt)(0.54/75)) =...

So this sounds homework question but I promise its not. At least its not mine. I saw it on a website because someone made it funny because of what they answered (drew an elephant if you know the one I'm talking about) Anyway, so the problem was a block of mass m = 5 kg falls starting at rest at...

Given a soundwave with wavelength ##\lambda = 0,628 m## and a period ##T = 2 ms##. The stopper is started at the exact moment when the wave is at its minimum, call it ##-A##. After ##3.5ms## and ##0,157m## from the point of origin, the wave has reached its maximum, ##A##. Why is it so...

Hi, I have some problem in deriving \Delta m_M^2 as given in eq.35 here: http://www.slac.stanford.edu/econf/C040802/papers/L004.PDF When I tried to derive the eigenvalues of H_M (eq.33) I got: m^2 = (\cos 2 \theta -x)^2 + \sin^2 2 \theta which is only one eigenvalue. Any help? In...

Hello forum. Panhellenic exams begin in less than 10 days and stress is slowly but steadily been overtaking me these last few months. I've been solving problems out of a physics book, and i got stuck in one which involves mechanical oscillations (spring-mass system). 1. Homework Statement A...

Homework Statement Reading a journal from that crazy old retired physics professor on the hill, you stumble upon a scheme to generate high frequency (HF) radio waves (λ = 10 m). It requires generating an electric field that diverges from a point and increases in strength linearly with respect...

Homework Statement A mass m hangs on a spring of constant k. In the position of static equilibrium the length of the spring is l. If the mass is drawn sideways and then released,the ensuing motion will be a combination of (a) pendulum swings and (b) extension and compression of the spring...

Homework Statement [/B] 14. Two positive point charges of magnitude Q and 9Q are a distance d apart, as shown in Figure 2.22 (image attached). a) Calculate the electric field strength at point P, a distance d/4 from Q. A third positive point charge is placed at P and is then displaced a bit to...

I have question that I've been thinking about for some time now, and that I can't get my head around. I an experimentalist without education in quantum field theory, and my quantum mechanics introduction courses were a long time ago, so bear with me please. As far as I understand, neutral kaons...

Hello there! I am a high school student, and I am really interested in Physics, esp. electronics and mechanics; I am not an expert or something, so please don't take it hard on me. Yesterday, I was bored and I messed around and successfully made a catapult...

How could you graph a potential energy vs. time graph only knowing the position vs. time graph and the velocity vs time graph for a hanging object oscillating up and down on a string?

Homework Statement Consider a human leg to be a rod of uniform density pivoting about one end. What will the frequency of oscillation be for a leg with a length of 0.82 meters?Homework Equations I believe we need the imagine the leg as a rod, so the moment of inertia would be = 1/3 m L2 The...

Homework Statement An 8.0 lb block is suspended from a spring with a force constant of 3.0 lb/ in. A bullet weighing 0.10 lb is fired into the block from below with a speed of 500 ft/sec and comes to rest in the block. a) Find the amplitude of the resulting simple harmonic motions b) What...

Homework Statement If a simple pendulum is taken from sea level to the top of a high mountain and started at the same angle of five degrees, it would oscillate at the top of the mountain a) slightly slower b) slightly faster c) at exactly the same frequency d) not at all - it would stop e)...

Homework Statement Investigating the effect of mass on the period of oscillation. This experiment is about SHM of a floating cylinder, and the theory is explained in this website: http://physics.stackexchange.com/questions/64154/shm-of-floating-objects Also, I'm attaching a diagram of my...

Homework Statement [/B] Homework Equations [/B] x = x₀cos(wt) (or x = -x₀cos(wt) , depending on the graph shape) x = x₀sin(wt) ω = 2π / TThe Attempt at a Solution [/B] I am confused as I have never encountered any oscillatory object with a thickness. Because if I take the middle of...

We've got a 0,5m string attached to a frame and has its own fundamental frequency at 440Hz. We cool our system for 15°C. What is the proper frequency now? String length l=0,5m String section S=0,02 mm^2 String density ρ=7800 kg/m^3 Young module E=2*10^5 N/mm^2 Fundamental frequency ν=440Hz ΔT=...

Homework Statement A mass on a spring has an angular oscillation frequency of 2.56 rad/s. The spring constant is 27.2 N/m, and the system's kinetic energy is 4.16 J when t = 1.56 s. What is the oscillation amplitude? Assume that the mass is at its equilibrium position when t = 0.a. 63.1 cm b...

Homework Statement A body oscillates with simple harmonic motion along the x-axis. Its displacement varies with time according to the equation x = 5sin(pi*t + pi/3). The phase (in rad) of the motion at t = 2s is a) (7pi)/3 b) pi/3 c) pi d) (5pi)/3 e) 2pi Homework EquationsThe Attempt at...

I am having difficulties writing my damped oscillations lab report. We were asked to write a short essay on eddy currents (creation,direction advantage and disadvantage) and their relationship with torsion pendulums. Also,we have to explain if the copper wheel in the torsion pendulum could be...

Homework Statement Using an electron as a point particle of charge −e inside a positively charged sphere of radius R ≈ 10^(−10) m and total charge +e, find the density ρ(r) of the positive charge for which the electron oscillates harmonically about the center of the sphere assuming that the...

Homework Statement Evening, As part of a project we are building a pico oscillating hydroelectricity generation system. Our system is based on the flow of a river providing lift onto a hydrofoil, which is then connected to a flywheel via a mechanism, the energy and rotational speed in the...

Homework Statement Assume that the potential is symmetric with respect to zero and the system has amplitude ##a## suppose that ##V(x)=x^4## and the mass of the particle is ##m=1##. Write a java function that calculates the period of the oscillator for given amplitude ##a## using Gaussian...

Hello! An assignment for my computational modeling course is to demonstrate the use of the Standard Euler method for modeling a simple harmonic oscillator; in this case, a mass attached to the end of a spring. I have the two coupled first-order differential equations satisfying hookes law...

Homework Statement Assume that the potential is symmetric with respect to zero and the system has amplitude ##a##, show that the period is given by : ##T=\sqrt{8m}\int^a_0\frac{dx}{\sqrt{V(a)-V(x)}}.## Homework Equations ##E = \frac12 m(\frac{dx}{dt})^2+V(x)##The Attempt at a Solution For a...

Homework Statement Attached Homework EquationsThe Attempt at a Solution I've managed to do parts i) and ii) with not much bother. But as for iii) then I haven't a clue how to show that the period of oscillation is given by that. I've always been under the impression it is simply given by...

Homework Statement A block of mass m is attached to a spring of spring constant k. It lies on a floor with coefficient of friction μ. The spring is stretched by a length a and released. Find how many oscillations it takes for the block to come to rest. Homework Equations d2x/dt2 + k/m x = +_...