What is Oscillating: Definition and 330 Discussions

Oscillation is the repetitive variation, typically in time, of some measure about a central value (often a point of equilibrium) or between two or more different states. The term vibration is precisely used to describe mechanical oscillation. Familiar examples of oscillation include a swinging pendulum and alternating current.
Oscillations occur not only in mechanical systems but also in dynamic systems in virtually every area of science: for example the beating of the human heart (for circulation), business cycles in economics, predator–prey population cycles in ecology, geothermal geysers in geology, vibration of strings in guitar and other string instruments, periodic firing of nerve cells in the brain, and the periodic swelling of Cepheid variable stars in astronomy.

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  1. M

    Find the amplitude and phase shift of an oscillating spring?

    Homework Statement A 205 g mass attached to a horizontal spring oscillates at a frequency of 4.60 Hz. At t =0s, the mass is at x= 6.00 cm and has v_x =- 34.0 cm/s. Determine Amplitude and Phase Shift. Homework Equations x(t)=Acos(\omega*t) \omega=(2*\pi)/T T=1/f The Attempt at a...
  2. T

    Equation of an Oscillating Circle

    Homework Statement Find an equation of the oscillating circle to y=ln(x) at the point (1,0) Homework Equations p will = the 2nd derivitive of y u will = the 1st derivitive of y i will = the 2nd derivitive of x o will= the 1st derivitive of x (po - ui)/(|V|^3) = k(curvature)...
  3. H

    Amplitude of oscillating spring

    Homework Statement a 185g mass attached to a horizontal spring oscilates at 5.2Hz. At t=0s, the amss is at x=5.80 and has a vx=-40.0cm. determine the amplitude Homework Equations The Attempt at a Solution
  4. D

    Amplitude of a block oscillating on a spring

    Homework Statement a .25kg block oscillates on the end of a spring with a spring constant of 200N/m. If the oscillation is started by elongating spring to 0.15m and giving the block a speed of 3.0m/s. The amplitude is? Homework Equations omega= sqrt(k/m), Vm = (omega)Xm The Attempt...
  5. G

    Block Oscillating on Spring

    Homework Statement A 0.835-kg block oscillates on the end of a spring whose spring constant is k = 41.0 N/m. The mass moves in a fluid which offers a resistive force F = -bv, where b = 0.662 Ns/m. a) What is the period of the motion? b) What is the fractional decrease in amplitude per...
  6. G

    Energy in an Oscillating Spring

    Homework Statement A mass of 240 g oscillates on a horizontal frictionless surface at a frequency of 3.0 Hz and with amplitude of 4.5 cm. a) What is the effective spring constant for this motion? b) How much energy is involved in this motion m = 240 g = 0.24 kg A = 4.5 cm = 0.045 m f...
  7. P

    Line current and oscillating current

    hey guys, i just started learning about tuned circuits. However, i can't understand the difference between line current and oscillating current and the reason for their different magnitudes in a parallel resonant LC circuit. Please clarify the difference between the two.
  8. C

    Understanding the equation of an oscillating string

    Homework Statement y' = (0.80 cm) sin[(π/3 cm-1)x] cos[(45π s-1)t] (a) What are the amplitude and speed of the two waves (identical except for direction of travel) whose superposition gives this oscillation? (b) What is the distance between nodes? (c) What is the speed of a particle of...
  9. P

    Oscillating system (small board on a halfpipe)

    Hello there! I have a situation as follows: [PLAIN]http://img821.imageshack.us/img821/4026/kuglananagibu.gif I have to find the period of oscillation of the system. I've know how to set the equations for when solving the equations with forces, but am lost when trying to solve it with energy...
  10. T

    Determining the Equation for an Underdamped Oscillating System

    Homework Statement I am trying to figure out the equation to represent the motion of a weighted car attached to an ideal spring that is on an inclined plane (represented by Figure 1. Note, the car in my problem is attached to a spring , whereas in that picture it is attached to a string.)...
  11. C

    Electrodynamics : Oscillating Quadrupole

    Homework Statement Find E for a quadrupole, oscillating sinusoidally. The method suggested is to take two Hertzian dipoles, a distance 'a' apart, and find the superposition of the two. They both have an equal dipole moment, and angular velocity, but have a phase difference of pi between them...
  12. P

    Free body diagram for mass on oscillating spring

    Homework Statement What does the free body diagram look like for a mass on an oscillating spring, when the mass is at its midpoint. Homework Equations F=-kx The Attempt at a Solution I'm not sure how an oscillating spring FBD is different from one for a non-oscillating spring. I...
  13. R

    Position of an oscillating piston

    Homework Statement Consider the simplified single-piston engine in the figure. The piston rod oscillates in simple harmonic motion. The wheel of radius 1.89 m rotates at a constant angular speed of 6.7 rad/s. (my own paint version of the figure) If the piston is fully extended at time t = 0, find...
  14. J

    Power of a driven oscillating spring

    Homework Statement a) Consider a driven mass-spring system with viscous friction using the notation of the lecture of Oct. 29, available on Vista. [The driving frequency is ω, the natural frequency is ω0, the friction force is -cv, the mass is m, the spring constant is k, the driving force is...
  15. G

    Find frequency of oscillating electron in electric field

    Homework Statement An electron is released from rest in an electric field (see picture attachment, it should explain everything). Upon release, it will oscillate due to the positive electric field. Find the frequency with which it oscillates. Homework Equations Coulomb's Law Equation...
  16. P

    Change in Gravitational Potential Energy in Oscillating water mass

    Homework Statement Seiche in a lake. The simplest motion of water in a lake can be approximated as simply the water surface tilting but remaining flat. Imagine a lake of rectangular cross section of length L and with depth h where (h<<L). The problem resembles that of the simple pendulum, the...
  17. H

    How Can Maxwell's Equations Estimate Oscillating Fields Near a Light Bulb?

    Homework Statement Make an order-of-magnitude estimate of the (magnitude of the) oscillating optical-frequency electric and magnetic fields in the vicinity of a light bulb. Homework Equations I have no idea as to what equations I should be using! The Attempt at a Solution No...
  18. S

    An oscillating object very easy question (I think)

    "An oscillating object" very easy question (I think) Sorry if this is a really stupid question but if it is then it'll be easy to answer . For the attached of example 15.1, I don't get how to do letter d. For v_max for instance, I see that sin(whateverIsInside) should equal -1 because -4pi*(-1)...
  19. G

    Dielectric surface in the field of an oscillating dipole

    We have the equations available for computing the reflected and transmitted electric fields in the case when a plane wave is incident on a dielectric surface. Now what I wish to do is compute similar reflected and transmitted components of the electric field due to an oscillating electric...
  20. S

    Oscillating sphere on a parabolic surface

    Homework Statement A sphere is making small oscillations on a parabolic surface . The equation of the parabola is y= 0.5kx^2 . Find the time period of this small oscillation. Homework Equations accln. (c.o.m)= 5/7 g sinѲ tanѲ= Ѳ ( for small angles) sinѲ=Ѳ (for small angles) The...
  21. W

    Continuous oscillating reactions?

    Hello. Are there any chemical reactions of the Briggs-Rauscher variety that will continue to oscillate indefinitely with continued agitation? B-R fades out after a few minutes of agitation, and I am curious as to whether there are oscillating reactions that will continue to oscillate as long as...
  22. M

    Tension in an oscillating string

    Homework Statement A 120-cm-long, 3.0 g string oscillates in its n = 4 mode with a frequency of 150 Hz and a maximum amplitude of 5.5 mm. Wavelength is 0.6 m. What is the tension in the string? Homework Equations f = sqrt(TL/m)/2L The Attempt at a Solution 150 =...
  23. T

    Shape of electric lines of force created by an oscillating charge?

    can someone please help me fast? i am having trouble understanding http://www.colorado.edu/physics/2000/waves_particles/wpwaves5.html" ? here it is said that farther away from the vibrating charge the shape of the wave on the line of electric force changes? but is not the shape supposed to be...
  24. P

    Pendulum attached to oscillating support

    Homework Statement The support of a pendulum has an oscillatory vertical motion. Set up the equation of motion for it and analyse the motion for different values of the parameters. Will there be particular frequences of the motion of the support that cause particular effects? Is it for...
  25. I

    Wave freq vs freq of its oscillating source

    Sorry if this is a dumb question, but I just read this in my physics textbook and I'm confused. It said that the frequency of a periodic wave is identical to the oscillating frequency of its source. I don't understand how this can always be true since the velocity of the wave is determined by...
  26. C

    Index of refraction and planes of oscillating charges

    Assume we have a plane of oscillating charges described by x=xoei(omega)t. The total field is given by E=- \frac{\etaq}{2\epsilonc}i\omegaxoei\omega(t-z/c) . (Can someone point me to a website where I can learn to type in these formulas and not not have them suck?) Ignore that weird looking x^o...
  27. C

    Solving a Horizontally Oscillating Ball Problem

    Homework Statement A 130 g ball attached to a spring with spring constant 3.0 N/m oscillates horizontally on a frictionless table. Its velocity is 17 cm/s when x = 4.2 cm Find the: -Amplitude of Oscillation -Max acceleration -Speed of the ball when x = 2.8cm Homework Equations T =...
  28. L

    How Do You Calculate Oscillation Parameters for a Mass on a Spring?

    Hi: Would somebody kindly check I have approached this problem correctly, please? Thank you. Homework Statement A 0.2kg mass is suspended from a light spring, producing an extension of 5.0cm. a) Calculate the force constant of the spring. The mass is now pulled down a further 2.0cm and...
  29. T

    Mechanically Oscillating Capacitor in LC circuit

    I have been thinking about a scenario in which I might have a series LC circuit, but where one plate on the parallel-plate capacitor is attached to a spring. How would I model such a scenario, and how would I determine the ideal resonant frequency of the entire system? I have attempted two...
  30. V

    Confirm my answers on Oscillating Springs?

    confirm my answers on Oscillating Springs?? Can anyone confirm or adjust my answers for problems 12 and 14? Also can someone help me start on problem 13.. Thanks guys I really appreciate the help Homework Statement 012 Find the speed of the block when it is 2.5 cm from the equilibrium...
  31. C

    Can an Electron's Oscillation Create a Transverse Wave?

    Hello guys, Ok, so today in school my physics teacher was talking to us about waves and how they are formed etc. He told us that a transverse wave is formed by oscillating an electron and the 'electron oscillates perpendicular to the direction of movement'. So, here's the problem I can't get...
  32. R

    Oscillating series RLC circuit

    Homework Statement In an oscillating series RLC circuit, with a 8.77 Ω resistor and a 15.0 H inductor, find the time required for the maximum energy present in the capacitor during an oscillation to fall to 1/8 its initial value. Homework Equations I know that for an RLC Circuit...
  33. G

    Solving for Spring Constant of Oscillating Spring

    Homework Statement A 7.0 kg mass is hung from the bottom end of a vertical spring fastened to the ceiling. The mass is set into veritcal oscillations with a period of 2.6s Find the spring constant. Homework Equations w = \sqrt{k/m} w = 2pi * f f = 1/T The Attempt at a Solution f =...
  34. S

    SHM of Mass Oscillating between Two Identical Springs

    [b]1. The problem statement, all variables and given/known A mass m is connected between two identical springs (along a y-axis) with identical spring constants k. The equilibrium length of each spring is L, but they are stretched to twice this length when m is in equilibrium. By analyzing the...
  35. S

    Finding the Speed of a Mass on an Oscillating Spring

    A horizontal spring with stiffness 0.7 N/m has a relaxed length of 18 cm (0.18 m). A mass of 17 grams (0.017 kg) is attached and you stretch the spring to a total length of 21 cm (0.21 m). The mass is then released from rest. What is the speed of the mass at the moment when the spring returns to...
  36. P

    Oscillating Springs: Finding Frequency w/ k1, k2, & m

    Homework Statement I've had some problems trying to work through this problem: Two springs of stiffness k1 and k2 are attached in succession to a mass m. What is the frequency of vibrations in terms of the spring stiffness k1 and k2 and the mass m? Homework Equations...
  37. K

    Oscillating Mass between Two Springs

    Homework Statement A block on a frictionless table is connected to two springs having spring constants k1 and k2. Show that the block's oscillation frequency is given by f = (f12 + f22).5 where f1 and f2 are the frequencies at which it would oscillate if attached to spring 1 or spring 2...
  38. T

    Effect of oscillating magnetic field on diamagnetic water

    I’m interested in the natural phenomenon of diamagnetism. I understand the general concept behind the magnetic interactions, but I am curious about the results of the following experiment: What happens when one places a large oscillating electromagnet (possibly superconducting) directly above a...
  39. S

    Creating a Function with Oscillating Discontinuity

    Homework Statement Create one example of a function within the context of a real-world science application (i.e., physics, biology, chemistry, etc.) that contains an oscillating discontinuity, Homework Equations y=sin (1/x) The Attempt at a Solution I would like to use the...
  40. A

    Vector potential due to oscillating dipole

    Homework Statement Calculate the magnetic vector potential A at a point p located at a distance r from the axis of an oscillating dipole of length s. It is assumed that r\gg s and that the current is the same throughout s. Homework Equations r=\sqrt{(x^2+(z-z')^2)}, where x,z is the...
  41. P

    Deriving Oscillating Universe Result: Need Help

    Does anyone know how to derive the result for an oscillating universe? R(t)= sqrt(3/lambda)sin(sqrt((3/lambda)ct) I would appreciate the help on this one
  42. Q

    Electron in oscillating electromagnetic field

    Hi ! How one can calculate the spectrum of radiation emitted by the oscillating electron in the field of laser, the electric field of laser can be written as, E = Eo cos(w t) So, is the electron will emit the secondary radiation with same frequency 'w' or there will be a...
  43. A

    Current/displacement current in oscillating emf problem

    Homework Statement An oscillating emf drives a series combination with circular plates with emf of (170V)sin[400 rad/sec)t], resistance of 0.9 megaohms, radius of 42 cm, and a separation of 1.9mm. Find the rms current in the resistor. Find the rms value of the displacement current between...
  44. J

    Solving Oscillating Particle Homework: Max Speed of 1.90g Particle

    Homework Statement What is the maximum speed of a 1.90g particle that oscillates between x=2mm and x=8mm in the figure? Homework Equations ? The Attempt at a Solution I don't have the foggiest idea how to do this problem. If someone could point me in the right direction I'd...
  45. S

    Derive the Period of an Oscillating Sphere

    Homework Statement Derive the period of a sphere oscillating in a hemispherical concave surface at small angles. Homework Equations Net Torque = I x alpha Delta E_m = 0 The Attempt at a Solution The thing is, tried using the conservation of mechanical energy to get an expression...
  46. Q

    Electron oscillating in vacuum

    My question is a relatively short one. Simply put it is: "Will an electron oscillating in a vacuum lose energy?" My thought comes from does the presence of the moving charge create electromagnetic fields. I have no idea how you could get the charge to oscillate but perhaps in the neutral...
  47. Q

    Energy of an oscillating spring

    Ok, so I got a spring attached to a weight and positioned on the eqm point. So I displace it a little and it undergoes oscillation. At the lowest point, everything is Elastic Potential Energy since extension is maximum. At the eqm point, extension=0 so it is just a mixture of KE and GPE...
  48. K

    Oscillating Mechanical Systems

    1. If anyone is able to cast an eye over my work and comment would be appreciated. Q. A mass attached to the lower end of a vertical spring causes the spring to extend by 25mm to its equilibrium position. The mass is then displaced a further 20mm and released. A trace vibration and time...
  49. M

    Calculating the Period of a Pendulum with Varying Acceleration

    Homework Statement A simple pendulum has a period T. What is the period if the entire pendulum oscillates 0.59 g downwards? (give answer as a ratio of Tnew/T) Homework Equations T=2\pi(\sqrt{L/g} The Attempt at a Solution I'm so confused about this problem. I actually got the...
  50. A

    Calculating the Frequency of Oscillation for an Oscillating Gate with Spring

    I need to find the frequency with which the gate will swing in Rad/s. I know the mass is 2kg, the moment of inertia about the hinges is 0.36kgm2 and that the torsional spring stiffness is 18.2Nm/rad. A person pushes the gate open to 90degrees and then it's released. Damping is negligible. If you...
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