# Oscilation Definition and 56 Threads

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1. ### B Antenna induction, oscillating circuit generating EM Waves

Hello! Now i need a bit explanation, so "oscillating circuit" capacitator + coil in series. Let's look at this as infinite, without any loss. We get changing magnetic field and electric field. Capacitator discharges, current goes to coil increasing its magnetic field, then starts magnetic field...
2. ### Solving Simple Oscillation Frequency: A Quick Guide

I think I can solve the frequency by doing 1/0.400 μs, but I'm not sure.
3. ### Finding ##x_c(t=0)## for a system of coupled Masses & Springs

Hi, First of all, I'm not sure at all how to start this question. I found the eigenvectors in a previous question, but I'm not sure if I need it to solve this one. I think I need to use the expression for the position and velocity. ##a_n = C_n cos (\omega_n t + \alpha_n)## ##v_n = -\omega_n...

30. ### Critically Damped System - Viscous force

Homework Statement You got a plate hanging from a spring (hookes law: k) with a viscous force acting on it, -bv. If we place a mass on the plate, gravity will cause it to oscillate. Prove that if we want the plate to oscillate as little as possible (Crticial damping, no?), then b=2m...
31. ### Oscillation Problem -- Why does my way not work?

1. Problem Description: A massless spring hangs from the ceiling with a small object attached to its lower end. The object is initially held at rest at a position y. The object is then released from y and oscillates up and down, with its lowest position being 10cm below y. What is the frequency...
32. ### Finding the effect of air resistance on period of oscilation

Homework Statement I'm currently working on the "cavendish" experiment and wish to use/develop a method separate from the casus we've been provided. Now I've nicely calculated and derived everything I need to know, including all the corrections that have to be made for the mass of the rod, the...
33. ### Waves: Find mass of an object given L, Frequency & Density

Homework Statement An oscillator is attached to one end of a horizontal string. The other end passes over a frictionless pulley and is held taught by a mass m. The distance between the oscillator and the pulley is 1.2m. The string has a linear mass density of 1.6g/m and the frequency of the...
34. ### Determining angular frequency and amplitude for SHM

Homework Statement A mass "m" is attached to a spring of constant "k" and is observed to have an amplitude "A" speed of "v0" as it passes through the origin. a) What is the angular frequency of the motion in terms of "A" and "v0"? b) Suppose the system is adjusted so that the mass has speed...
35. ### How Is the Period of a Pendulum Affected by Its Length?

To increase the period of oscillation of a pendulum in 1 second, it is needed to increase the length of it in 2 meters. Calculate, in seconds, of the initial period of oscillation of the pendulum. I found this question online a few minutes ago. I have not learned this in physics class yet so...
36. ### Oscillations: mass in the center of an octahedron -- eigenvalues?

You have an infinitesimally small mass in the center of octahedron. Mass is connected with 6 different springs (k_1, k_2, ... k_6) to corners of octahedron. Equilibrium position is in the center, you don't take into account gravity, only springs. Find normal modes and frequencies. Relevant...
37. ### Solve questions on oscillations and kinetic energy

A spring of spring constant k sits on a frictionless horizontal table, one end of the spring is attached to a wall the other end to a block of mass M= 2kg, also resting on the frictionless table. Another block of mass m=450g moving at a speed of 7m/s collides in-elastically with the block of...
38. ### How Is the Amplitude of a Membrane's Oscillation Determined by Sand Jumping?

Homework Statement A little amount of sand is spilt over horizontal membrane that oscillates with frequency f=500Hz in vertical plane. If sand grains are jumping to the height h=3mm with respect to the equilibrium position, find amplitude of oscillation of membrane. Homework Equations ω=2πf...
39. ### What is the frequency of wire oscillations with a pellet placed in the middle?

Homework Statement There's a horizontal thin wire whose mass is negligible and whose length is l=1m. It is strained with constant force F=10N. If we place a tiny pellet in the middle of wire (mass of pellet is m=1g) and then we bring wire out of equilibrium position (moving out of it's original...
40. ### Classical Duffing Oscillator: Get Resources to Study it

Can someone please suggest me a good reference for studying the duffing oscillator?
41. ### Lyapunov exponents of a damped, driven harmonic oscillator

Homework Statement I am supposed to calculate Lyapunov exponent of a damped, driven harmonic oscillator given by ## \ddot{x} + 2\beta \dot{x} + \omega_0^2 x = fcos(\omega t)## Lyapunov exponent is ## \lambda ## in the equation ## \delta x(t) = \delta x_0 e^{\lambda t} ## The attempt at a...
42. ### Motion of a point is equal to dynamic harmonic oscilation

Homework Statement Point with mass is moving along the positive direction of x axis, its velocity is described by (A-Bx^2)^(1/2). Show that its equation of motion describes dynamic harmonic oscillation and find period (T) of this oscillation. Homework Equations v=(A-Bx^2)^(1/2) A and B is...
43. ### I Does the Amplitude of an Undamped Driven Oscillator Stay Constant Over Time?

The equations I'm getting when I solve the differential equations seem to imply that the amplitude of oscillation does not vary in time. For example, if I have x'' + ω02x = cos(ωt) If we suppose that ω≠ω0, then the general solution should look something like: x(t) = c1cos(ω0t) + c2sin(ω0t)...
44. ### Distorting force vs restoring force in springs?

Awhile back, I was learning about springs, and restoring/distorting force. We even did an experiment where we hung a spring and put weights on it and pulling it down, watching it oscillate. From this, I assumed the distorting force was the force that stretched the spring and restoring force is...
45. ### Can Heun's Method Accurately Predict Small Oscillations of a Nitrogen Atom?

Homework Statement Use the Heun method to compute the period of small oscillations about the equilibrium position of a nitrogen atom. xi = 1.1 Um = 7.37 x0 = 1.2 alpha = 2.287 m = 2.325e-26 Homework Equations [/B] U(x) = Um((1-e^(-alpha(x-x0)))^2 - 1) The Attempt at a Solution I was told to...
46. ### Problem measuring PH (it oscilates) for gastric juice

I bought a PH meter with glass electrode. I calibrated it using a buffer solution following the instructions. When I measure the PH of tap water, vinegar, or other simple liquids it initially keeps changing but eventually it stabilizes at the correct value. But I tried to measure gastric juice...
47. ### Find the period of a small oscillation

Homework Statement A rod of length ##2L## is bent at point of its middle so that the rods now created are in a upside V shape and the angle between them is ##120°##. The system oscilates. Find the expression of the period of oscilation. Homework Equations 3. The Attempt at a Solution [/B] I...
48. ### Help with periods and oscilation *and* wavelengths

Homework Statement Water waves in a shallow dish are 6.0 cm long. At one point the water oscillates up and down at a rate of 4.8 oscillations per second. a. What is the speed of the water waves? b. What is the period of the water waves? Homework Equations frequency = 1/period Speed =...
49. ### Underdamped oscilation problem

Hi, I'm having some problems to complete this problem if some body can explain me the points c an d... ;) An object with 1.5 kg mass located on a spring with constant of 600 N/m oscillates so that the amplitude decreases 3%in each cycle. Subsequently, the system is driven with a sinusoidal...
50. ### Determining the oscilation of a ruler resting on two spinning cylinders

Homework Statement A 75 gram ruler is evenly placed between two cylinders spinning clockwise on the left and counter clockwise on the right. The coefficient of friction between the ruler and the spinning cylinders is 0.2. You push the ruler to the right by 0.12 meters. It returns to you by...