Oscillations Definition and 487 Threads

Homework Statement A 0.2 kg object, suspended from a spring with a spring constant of k = 10 N/m, is moving in simple harmonic motion and has an amplitude of 0.08 m. What is its velocity at the instant when its displacement is 0.04 m? Homework Equations v=root(F/m/l) The Attempt...

Homework Statement A 200 g oscillator in a vacuum chamber has a frequency of 2.0 Hz. When air is admitted, the oscillation decreases to 60% of its initial amplitude in 50 s. How many oscillations will have been completed when the amplitude is 30% of its initial value? Homework...

Damping is negligible for a 0.121 kg mass hanging from a light 6.55 N/m spring. The system is driven by a force oscillating with an amplitude of 1.45 N. At what frequency will the force make the mass vibrate with an amplitude of 0.465 m? There are two possible solutions, enter one of them...

Homework Statement I attached a file containing the problem statement, because it is impossible to reproduce all the symbols. Homework Equations Also in the attached file. The Attempt at a Solution I tried to simply substitute theta but it turned out to be very messy...

Hi guys i am a bit confused about this problem, a particle of mass, m, moves in potential a potential u(x)=k(x4 - 7 x2 -4x) I need to find the frequency of small oscillations about the equilibrium point. I have worked out that x=2 corresponds to the equilibrium point as - dU/dx = F =...

Homework Statement A bungee jumper leaps from a bridge and undergoes a series of oscillations. Assume g=9.78 m/s^2. If a 58.0 kg bungee jumpers jumps from length of 20.0 m and she jumps from a heigh of 66.0 m above the river, coming to rest a few centimeters above the water surface on the...

Homework Statement Consider a column of liquid (density ρ) of length ℓ confined in a U-tube of uniform cross-sectional area A. Suppose that the water level on one side is pushed down a small amount and then released. 1) Construct expressions for the potential and kinetic energies of the...

1. A rigid straight uniform bar of mass m and length l is attached by a frictionless hinge at one end to a fixed wall so that it can move in a vertical plane. At a distance a from the hinge it is supported by a spring of stiffness constant k, as shown in the figure Ignoring gravitational...

Homework Statement This problem isn't actually assigned homework for me, but I wanted to see if I get the concept. Any feedback and corrections to my answer would be appreciated! A cable is stretched between two anchors, and a small mass is attached to the cable, through the center of the...

Homework Statement A circular disk of radius R and uniform density is free to pivot about a fixed point P on its circumference. Calculate the period of oscillations of the disk, in the plane of Figure I, when it is displaced by a small angle about its pivot and released. Homework...

Homework Statement A pendulum consists of a 1.5kg mass swinging at the end of a string of length 2.0m. At the lowest point in the swing the tension in the string is equal to 20N. To what maximum height above this lowest point will the mass rise during its oscillation? Homework Equations...

Homework Statement By substituting the proper equations I showed that the equation is right when time = phi/w. Now when I make cos = o and sin = 1 and time = (pi/2 - phi)/w I can't solve the equation. Homework Equations If you need to see all the equations i can give it to you but I am...

Homework Statement Find the frequency of combined motion of the following (a) x = sin (12pi.t) + cos(13pi.t + pi/4) (b) x = sin(3t) - cos(pi.t) Homework Equations The book I'm using states that if the periods are commensurable ie if there exist 2 integers n1 and n2 such that n1T1 =...

What happens if the frequency of the forced oscillation is Pi / 2 radians out of phase of the natural frequency of the spring mass system? I guess this makes the amplitude of the spring mass system to oscillate at a maximum amplitude.. Am I correct? Thanks in advanced..

Homework Statement In the lab, we had a hanging spring. We proceeded to add mass to the spring (starting at 100g, and increasing by 50g until 500g) and timed the period of oscillation, T, for each mass added. We also found the spring constant by finding the slope of Displacement vs. Mass...

Homework Statement Express the ratio of the average kinetic energy K to the average total energy E of the oscillator in terms of the dimensionless quantity ωo/ω. Homework Equations I found that: K = (1/2)mA^2ω^2 sin^2(ωt − δ) E = (1/2)mA^2[ω^2 sin^2(ωt − δ) + ωo^2 cos^2(ωt − δ)] The...

Dear All, We have an voltage amplifier. The input is given in small square wave steps to check rise time and noise level of an output signal. The rise time looks good, but we see periodic (noise)oscillations after reaching the plateau. We measure signal voltage across capacitor (10 micro...

What exactly are Baryon acoustic oscillations? How do we detect them? How are they used to build a "ruler" of cosmological parameters? How are BAOs related to the late time ISW effect? and to dark energy? Lots of questions, hopefully someone here can give me some answers or at least some...

Homework Statement Homework Equations The Attempt at a Solution I just have a quick question about http://answers.yahoo.com/question/index?qid=20081217223328AAQd6nj&r=w&show_comments=true&pa=FZB6NWHjDG3N56z6v_2wWb4ed4wHUvdybUFUU_dDvWAH.7iY1ZZYRg--&paid=add_comment#openions" When the...

Homework Statement The drawing to the left shows a mass m= 1.9 kg hanging from a spring with spring constant k = 6 N/m. The mass is also attached to a paddle which is emersed in a tank of water with a total depth of 34 cm. When the mass oscillates, the paddle acts as a damping force given by...

I watched MIT OCW PHYSICS 8.01 lectures, and in lecture no.13, i saw a puzzling demonstration. Link :http://ocw.mit.edu/OcwWeb/Physics/8-01Physics-IFall1999/VideoLectures/detail/embed13.htm" I don't understand, what can be the reason for the oscillations of ball on the track with the...

Homework Statement You have ruler of length L and thickness 2d resting, in equilibrium , on a cylindrical body of radius r. Slightly unbalancing the ruler, and existing attrition between the surfaces prove that the ruler has a oscillatory motion of period: T = 2\cdot \pi\cdot...

Homework Statement At the natural frequency,ω0 what are the real and imaginary components of Avel(ω) ? Sketch a phasor diagram with the velocity vector and driving force vector,and use this to provide the phase difference between Avel(ω) and the driving force if ω=ω0 (ι.e at resonance)...

Homework Statement If F0= 0 and γ<<2ω0 where γ=b/m, sketch the resulting wave-form for displacement with time.Define Q,the quality parameter,and show on your sketch how the value of Q, influences the waveform Homework Equations mψ'' =-kψ-bψ' +F0exp(-iωt) The Attempt at a Solution...

Homework Statement A 1.450 kg air-track glider is attached to each end of the track by two coil springs. It takes a horizontal force of 0.700 N to displace the glider to a new equilibrium position, x= 0.290 m. a.) Find the effective spring constant of the system. b.) The glider is...

Homework Statement The typical walking speed of a person walking at a relaxed pace can be estimated by modelling their legs as a physical pendulum. Assume that the length of a person's leg is L and it pivots about the hip and the leg is tapered (more mass towards the hip and less towards the...

So i have the equation m*(d2x/dt^2)+c*(dx/dt)+kx=0, where d2x/dt^2 is the second derivative. So I'm given that m=10 kg, and k=28 N/m. At time t=0 the mass is displaced to x=.18m and then released from rest. I need to derive an expression for the displacement x and the velocity v of the...

A 375 g air-track glider attached to a spring with spring constant 9.50 N/m is sitting at rest on a frictionless air track. A 425 g glider is pushed toward it from the far end of the track at a speed of 96.0 cm/s . It collides with and sticks to the 375 g glider.a)What is the amplitude of the...

Dear fellow Physicists, I am writing to ask what the significance of the term (L/E) in neutrino oscillation is? From my initial understanding it determines the oscillation mode, so if you have an experiment of a baseline of 300km, you can adjust the neutrino beam energy to suit the particular...

I understand that K_l = \frac{d\bar{s} + s\bar{d}}{\sqrt{2}} K_s = \frac{d\bar{s} - s\bar{d}}{\sqrt{2}} This happens because K_0 is oscillating into its own antiparticle. My question is, why the same is not applicable to the neutrinos? They do oscillate. So instead of ‘pure’ e, mu, tau...

I just need a simple example, preferably one to do with voltage. thanks for any help :)

Homework Statement Consider a system of one generalized coordinate theta, having the following Lagrangian equation of motion: r and b are constants m is mass (1/3)mb^{2}\ddot{\theta} = r(r+b)\theta + r^{2}\theta^{3} + gr\theta And this potential energy (if it matters): U = mg(r+b)...

Homework Statement An oscillator with a mass of 520 g and a period of 0.500 s has an amplitude that decreases by 1.00% during each complete oscillation. PART A : If the initial amplitude is 10.2cm , what will be the amplitude after 43.0 oscillations? PART B: At what time will the energy be...

Homework Statement The interior of a thin spherical shell of mass M and radius R is completely filled with water and hangs from a ceiling on a light thread. The distance from the sphere's center to the hanging point is L, and the mass of water is m. Determine the change in the frequency of...

The scale of a spring balance reading from zero to 180 N is 7.00 cm long. A fish suspended from the balance is observed to oscillate vertically at 2.50 Hz. What is the mass of the fish? Neglect the mass of the spring. ________ kg Attempt k =(180-0)/(7-0) = 25.714 N/m frequency =...

Homework Statement A mass of 1.5 kg oscillates vertically at the end of a lightweight spring. The spring has a spring constant of 145 Newtons per meter. The amplitude of the motion is 8.00 cm. From this data, complete the table below. I have to find velocity, acceleration, elastic...

http://fatcat.ftj.agh.edu.pl/~i7matras/hej.jpg Both masses are in point. I need to count displacement x(t) but I don't know how to write derivative equations? Could someone help? Or at least give me a tip?

Homework Statement A 111g ball is tied to a string. It is pulled to an angle of 4.40 Degrees and released to swing as a pendulum. A student with a stopwatch finds that 17 oscillations take 19.0s. How long is the string? Homework Equations T = 2π√(L/g) The Attempt at a Solution Period T =...

Homework Statement The graph of displacement versus time for a small mass at the end of a spring is shown. At t = 0, x = 0.43 cm. (a) If m = 14.3 g, find the spring constant, k. (b) Write the equation for displacement x as a function of time. Homework Equations f = (1/2pi) * SQRT...

1. A uniform coin with radius R is pivoted at a point that is a distance d from its 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? 2. V(x)\equivpotential energy...

Homework Statement Determine the equations governing the oscillations of a metronome. The Attempt at a Solution I believe that it has something to do with simple harmonic motion but I'm not sure where to start. Any help would be great.

Homework Statement Suppose a particle of mass 0.240 kg acted on by a spring undergoes simple harmonic motion. We observe that the particle oscillates between x = 0.200 m and x = - 0.200 m and that the period of the oscillation is 1.20 s. At time t = 0, the particle is at x = 0 and has...

Homework Statement The two blocks in the figure oscillate on a frictionless surface with a period of 1.5 s. The upper block just begins to slip when the amplitude is increased to 36 cm. What is the coefficient of static friction between the two blocks? Homework Equations The...

Hello, I am currently working on a lab in which we are studying the behaviour of chain of metal bars attached together with nylon wire in such a way as to to mimic the ability of solids or liquids to transmit a wave. After studying the normal modes of the system as well as the quality...

Homework Statement A rod of length L and mass m, pivoted at one end, is held by a spring at its midpoint and a spring at its far end, both pulling in opposite directions. The springs have spring constant k, and at equilibrium their pull is perpendicular to the rod. Find the frequency of small...

Homework Statement An oscillator with a mass of 600 g and a period of 1.20 s has an amplitude that decreases by 2.50% during each complete oscillation. If the initial amplitude is 6.40 cm, what will be the amplitude after 50.0 oscillations? Homework Equations How do I approach this...

Homework Statement Please calculate the units for the spring constant k in two fashions. First, from Hooke’s Law (eqn. 5 in lab manual), and then from the period equation for a spring (eqn. 3). Please show that these units are compatible (i.e. mean the same thing).Homework Equations...

Greetings, I have been thinking as everything being particles and only appearing wavelike in double-slit experiments because they were in superposition. Now I am reading that they are really only waves. Waves in what medium? Thanks

the formula for damped oscillations is given as x = Ae^(-bt/2m) cos(ωt+Φ) so why is the amplitude as a function of time given as only the first part? meaning only A(t) = Ae^(-bt/2m) it "ignores" the 2nd term which is the oscillating cosine term. which still encompass a time t value...

A point of mass slides without friction on a horizontal table at one end of a massless spring of natural length a and spring const k as shown in the figure below. The other end of the spring is attached to the table so it can rotate freely without friction. The spring is driven by a motor...