Oscillations Definition and 487 Threads

Two identical thin rods, each of mass m and length L, are joined at right angles to form an L-shaped object. This object is balanced on top of a sharp edge. If the object is displaced slightly, it oscillates. Assume that the magnitude of the acceleration due to gravity is g. Find omega, the...

What is being discussed when frequency is used to describe atoms? Or maybe I should be thinking nuclear oscillations...In other words, the wave function of what?

A series LC circuit contains a 100 mH inductor, a 36.0 mF capacitor and a 12 V battery. The period of the electromagnetic oscillations in the circuit is 1. 0.0227 s. 2. 1750 s. 3. 105 s. 4. 2.26 s. 5. 0.376 s. f= 1/ 2*π *√L *C L =100mH C= 36uF so,,f = 2.65...

Homework Statement Hi. The problem is question 1(a) in the file below: http://www.mth.uct.ac.za/Courses/MAM24678/mod2od/Project1_07.pdf The Attempt at a Solution Question 1(a) is the one I have a problem with. I just don't know what he's getting at. Is y(x) the function that describes...

This may sound like a strange question... I was walking away from my physics class today and I wondered if resonant vibrations were the reason my shoelaces become untied. I noticed that when I walk faster, and produce what I believe are more forced oscillations, they become untied more...

Hi all, Can anybody please explain to me the connection between Rabi oscillations and spin-1/2 systems? I believe the connection lies in the bloch sphere and the ability to represent the spin-1/2 system by a superposition of Pauli matrices but I'm just not getting it. Thanks

Homework Statement A block of mass 2kg is suspended from a fixed support by a spring of strength 2000N/m. The block is subject to the vertical driving force 36cos(pt)N. Given that the spring will yield if its extension exceeds 4 cm, find the range of frequencies that can safely be applied...

Hi, (All oscillations I'll be talking about here are longitudinal.) For coupled oscillations of 2 masses between 3 identical springs (ends held fixed by walls), I think it was a standard textbook mechanics problem to show that the lowest-frequency mode is the symmetric one (where the masses...

Homework Statement A square of side a located in the x-y plane and centered on the origin carries a total charge Q uniformly distributed over its circumference. (a) What is the electric eld at any point on the z-axis? How does the eld behave far from the square? (b) An electron...

I read somewhere that, due to quantum fluctuations, there is enough energy in one cubic centimeter to boil the planet's oceans. Is this true? If so, could such energy be harnessed? Or is there some fundamental limit?

If i connect an inductor and a charged capacitor as the only circuital elements in a circuit [other than lead wires], something called 'LC Oscillations' happen. According to what I've read, due to the charge on the capacitor, there is a potential difference across the ends across which the...

[SOLVED] Dampened Oscillations Problem A pendulum of length 1.00 m is released from an initial angle of 15.0°. After 1200 s, its amplitude is reduced by friction to 5.5°. What is the value of b/2m? How do you do this one? I know it has something to do with the formula w= sqrt(W[SIZE="1"]0^2...

[SOLVED] Undamped oscillations In the diagram below, the disk is mounted vertically on ideal bearings through its center mass. If the system is disturbed from its equilibrium position, determine the frequency of the undamped oscillations. I = 4kg m^2 This one I have no clue about. We rushed...

Homework Statement When a mass of 0.35 kg is attached to a vertical spring and lowered slowly, the spring stretches a distance of d. The mass is now displaced from its equilibrium position and undergoes 100 oscillations in 48.9 seconds. WHat is the stretched distance d? Homework Equations...

[SOLVED] Pendulum Oscillations Problem A very light rigid rod with a length of 0.500 m extends straight out from one end of a meter stick. The stick is suspended from a pivot at the far end of the rod and is set into oscillation. (a) Determine the period of oscillation. (Hint: Use the...

[SOLVED] Mechnics - Small Oscillations Homework Statement A body of uniform cross-sectional are A= 1cm^2 and a mass of density p= 0.8g/cm^3floats in a liquid of density po=1g/cm^3 and at equilibrium displaces a volume of V=0.8cm^3. Show that the period of small oscillations about the...

Homework Statement An oscillator with a mass of 420 g and a period of 1.00 s has an amplitude that decreases by 1.20% during each complete oscillation. If the initial amplitude is 8.20 cm, what will be the amplitude after 50.0 oscillations? If the initial amplitude is 8.20 , what will be...

[SOLVED] Oscillations Problem: Please help Homework Statement A 290 g air-track glider is attached to a spring with spring constant 4.10 N/m . The damping constant due to air resistance is 2.40×10^−2 kg/s. The glider is pulled out 28.0 cm from equilibrium and released. How many...

Homework Statement An oscillator with a mass of 500 g and a period of 0.300 s has an amplitude that decreases by 1.40% during each complete oscillation. If the initial amplitude is 11.4 cm, what will be the amplitude after 38.0 oscillations?

Two particles execute simple harmonic motion of the same amplitude and frequency along close parallel lines. They pass each other moving in opposite directions each time their displacement is half their amplitude. What is their phase difference?

Is it possible that the other leptons like the electron, muon, and tauon could oscillate between one another, and maybe even the quarks oscillate between their generations? Sorry, I know this kind of a stoner question.

Homework Statement A hard-boiled egg moves on the end of a spring with force constant k. It is released with an amplitude 0.300 m. A damping force F_x = -bv acts on the egg. After it oscillates for 5.00 s, the amplitude of the motion has decreased to 0.100 m. m = 50.0g (0.05kg) k = 25.0N/m...

I have a few questions about Neutrino Oscillations... Firstly, why are they called oscillations? Is it because they can go back and forth to different flavours/masses? Next, if, for example, a tau neutrino is produced in the sun, will it oscillate to the other flavours on its way to earth...

For this second year course, my school reccommends Differential Equations and Calc II. Are they neccessary? Description: Complex notation; free, damped and forced harmonic oscillations; resonance; AC circuits; coupled oscillators; normal modes; traveling waves; simple harmonic wave; wave...

Why do only neutrino oscillates (showing massiveness of neutrino)? Why don't electron, muon and tau oscillates?

Homework Statement a rope is tied between 2 walls as shown.a bead of mass 'm' is on the rope as shown. it is constrained to move in the horizontal direction. it is tied to a spring of force constant 'k'- N/m. the spring is initially at its free length 'H'. the bead is displaced by a small...

Homework Statement An oak block of ρ = 0.9 g/cm^3 and dimensions V = 10cm x 20cm x 20cm is floating in water of ρ0 = 1 g/cm^3. The block is slightly pushed into water and then released. Determine period, T, of oscillations. Homework Equations I'm not sure how to derive the set up of the...

Homework Statement http://www.jyu.fi/kastdk/olympiads/2004/Theoretical%20Question%203.pdf http://www.jyu.fi/kastdk/olympiads/2004/Solution%203.pdf Question A- (b) They use some trigomentric identity that I don't understand, which one is it? Thanks in advance. Homework...

A mass m suspended from a spring of constant k has a period T. If a mass M is added, the period becomes 3T. Find M in terms of m.T=2pi(m/k)^(1/2) I know that the period varies as the square root of the mass so the mass M should be 9 times that of m. The answer is M=8m. I don't know why it is 8...

Was hoping someone could sum up what parasitic oscillations are (perhaps in terms of some simple circuit equations/models). Currently studying basic Op Amp circuits and during the lab the instructors mentioned this term and everyone seemed to magically know what it refers to :confused: Also...

If anyone could help with the following, it would be great. I am currently carrying out an experiment for a school project to see how damping affects and reduces the amplitude of the oscillation of a pendulum. For the pendulum I am using a suspended metre ruler and I will count the number of...

Does anyone know where I can get some information on how you can relate the frequency of small oscillations to the second derivative of potential energy. I saw this done recently in a qualifying exam level problem but I do not remember learning this method and it is not in my classical dynamics...

Homework Statement A coin of radius R is pivoted at a point that is distance d from the center. The coin is free to swing back and forth in the vertical plane defined by the plane of the coin. For what value of d is the frequency of small oscillations largest? Homework Equations...

CRO is connected to the batteries, the capacitor and the inductor. actually, i am not sure what the CRO is monitoring? also, i would like to ask if electrical oscillation can be established if the positions of the inductor and the capacitor are interchanged? why?

Homework Statement A block attached to a spring underneath oscillates vertically with a frequency of 4Hz and an amplitude of 7.00cm. A tiny bead is placed on top of the block jut as it reaches its lowest point. Assume the bead's mass is so small that its effect on the motion of the block is...

I'm working on an IF amp and whatever I do it starts oscillating. A monolithic crystal filter 10.7 MHz, about 330 ohm is fed into a nicely designed npn transistor 20 dB amp, with bypass caps all over the sucker. It is in common emmiter configuration. The amp responds nicely to a test signal...

Homework Statement Now assume that the x coordinate of point R is 0.12m and the t coordinate of point K is 0.0050 s. What is the period T ? Homework Equations T = 1/f where f is the frequency and T is the period. The Attempt at a Solution From the graph, there are 2...

[FONT="Times New Roman"]An object in simple harmonic motion oscillates with a period of 4.00 s and an amplitude of 9.08 cm. How long does the object take to move from x=0.00 cm to x=5.07 cm? I set up my eqn like this: 0.0908cos(ωt)=0.0507 cos(ωt)=0.583 ωt=56.1 then with ω=90deg I get...

A 160 g air-track glider is attached to a spring with spring constant 4.40 N/m. The damping constant due to air resistance is 2.40×10−2 kg/s. The glider is pulled out 23.0 cm from equilibrium and released. How many oscillations will it make during the time in which the amplitude decays to...

A marble of radius b rolls back and forth in a shallow spherical dish of radius R. Find the frequency of small oscillations. You can solve this problem using conservation of energy or using Newton’s second law. Solve it both ways and show that you get the same answer. I kind of get the...

A weight of mass m = 300 g hangs vertically from a spring that has a spring constant k = 1.50 N/m. The mass is set into vertical oscillation and after 28 s you find that the amplitude of the oscillation is 1/10 that of the initial amplitude. What is the damping constant b associated with the...

Estimate the spring constant in units of eV/A^2 for the hydrogen (H2) molecule from the potential energy curve shown below, where r is the distance between protons. From the spring constant and the reduced mass m=1/2m(proton), compute the vibrational frequency. This frequency corresponds to...

http://arxiv.org/abs/astro-ph/0605278 Searching for modified gravity with baryon oscillations: from SDSS to WFMOS Authors: Kazuhiro Yamamoto, Bruce A. Bassett, Robert C. Nichol, Yasushi Suto, Kazuhiro Yahata Comments: 16 pages, submitted to PRD We discuss how the baryon acoustic...

I'm not too confident in my work for this problem, so I was wondering if someone could check it over for me. Consider a circuit with 4 elements, C1=100micro farads, C2=50micro farads, L1=20mH, and L2=10mH. At t=0, the capacitors are charged with Q=0.01 Coulomb. There is initially no current...

Sir, Please help me with this problem. 1) Two simple pendulums of length 1metre and 16 metre respectively are both given small displacements in the same direction at the same instant. They will again be in phase after the shorter pendulum has completed n oscillations. What is the value...

ok so, my coursework is to measure the oscillations of a mass on a beam to prove that T^2 = k l^3 when k is a constant of proportionality. And basically when plotting the graph of my results, the first 8 results fit exactly on my line of best fit but the last two are completely off. These...

I'm looking to analyse data in favour of neutrino oscillations for my masters project. I know John Bahcall has some on his website, but this is for solar neutrino oscillations and takes account of the MSW effect. Does anyone know where any raw data for atmospheric neutrino oscillations (i.e...

Hello, I solved the problem of small oscillations for a 3-atom molecule, such as CO2, which is modeled as 3 masses connected by 2 springs. Both springs have a constant k, the outer masses are m and the middle one is M. There are 3 modes of oscillations, and one of them is of course \omega...

Can someone please help me with this question?:confused: A 2.00-kg object is attached to a spring and placed on a horizontal, smooth surface. A horizontal force of 20.0 N is required to hold the object at rest when it is pulled 0.200 m from its equilibrium position (the origin of the x axis)...

1) A long cylindrical rod of radius, r is weighted on one end so that it floats upright in a fluid having a density. It is pushed down a distance x from its equilibrium position and released. Show that the rod will execute simple harmonic motion if the resistive effects of the fluid are...