Oscillation Definition and 769 Threads

Homework Statement Inside a NASA test vehicle, a 3.50-kg ball is pulled along by a horizontal ideal spring fixed to a friction-free table. The force constant of the spring is 226 N/m . The vehicle has a steady acceleration of 5.00 m/s2, and the ball is not oscillating. Suddenly, when the...

1. The problem statement, all variables and given/known On a very smooth horizontal table, a block of mass m=0.75 kg is attached to an ideal spring with a spring constant k= 242 N/m. The origin of the horizontal coordinate (x=0) is set at the equilibrium position of the block. The block is...

Homework Statement ...when she pulls the ball down 2.5cm from equilibrium and releases it from rest, it oscillates at 5.5 Hz. What is displacement y as functions of t? Homework Equations Y= Acos(omega t+phi) The Attempt at a Solution I'm almost certain I should instead be using sin to...

Homework Statement [/B] Begin with a solid cylinder of mass M and radius R. A hole is bored through this cylinder with radius r < R/2, parallel to the axis of the cylinder and with the surface of the hole touching the cylinder’s axis. This modified cylinder then rolls on a horizontal surface...

Homework Statement A block of mass m is placed inside a box of mass M , which is then hung from a spring with spring constant k. The system is pulled down some distance d and released at time t =0. Determine the reaction force between the block and the bottom of the box as a function of time...

Homework Statement Homework Equations The response of a spring mass system can be simplified to equal: x(t) = (x0 - (F0 / (k - mω2))cos(ωnt) + (x'/ωn)sin(ωnt) + (F0 / (k - mω2))cos(ωt) where x & x' are the initial conditions ω is the exciting frequency ωn is the natural frequency k is the...

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...

Homework Statement A meter stick is free to pivot around a position located a distance x below its top end, where 0 < x < 0.50 m(Figure 1) . Homework EquationsThe Attempt at a Solution I attached my note.

Homework Statement The 900-mg balance wheel of a certain clock is made up of a thin metal ring of radius 12 mm connected by spokes of negligible mass to a fine suspension fiber as in (Figure 1) . The back-and-forth twisting of the fiber causes the wheel to move in simple harmonic motion with...

Homework Statement A = 20 cm Given the graph, what is the phase constant(in degrees)? (I have already solved for amplitude and frequency) Homework Equations x(t) = A cos (wt + ϕ) The Attempt at a Solution x(t) = A cos (wt + ϕ) Taking from t = 0, we find: 10 = 20cos(w*0 + ϕ) 10 = 20cos(ϕ) 1/2...

When the pendulum in Problem 3.8 is vibrating freely in unforced oscillation, the amplitude of its swing decreases by a factor of e after 75 cycles of oscillation. (a) Determine the Q-value of the pendulum. (b) The point of suspension of the pendulum is moved according to ξ = a cos ωt at the...

Hello Need some help simplifying this. In relation to a driven oscillator I am looking for wmax for which the amplitude is maximum. I understand the theory and I am just missing something with the maths and I know its probably something so stooooopid I am missing >< I'm taking the derivative...

Light is an electromagnetic wave and to be so it needs an oscillating electric field, so only charges that undergoes harmonic motion shold be able to generate light is that right? And if that's right how can an electron that goes form an excited state to a lower one emit a photon? It wasn't...

Homework Statement A rigib poll of length 2L is made into a V shape so that each leg has length L. What is the period of oscillation for small angle. The angle between the legs is 120 degrees Homework Equations 3. The Attempt at a Solution [/B] I tried to calculate the period by imagining a...

Homework Statement A body performaning simple harmonic motion has a displacement x given by the equation x= 30 sin 50t, where t is the time in seconds. what is the frequency of the oscillation? Answers are: A. 0.020Hz B. 0.13Hz C. 8.0Hz D. 30Hz E. 50Hz (correct...

Homework Statement Silicon crystalises in a cubic structure whose lattice is face-centred, with a basis [000],[1/4,1/4,1/4]. How many optic/acoustic modes are to be found in the phonon dispersion diagram for silicon. How many distinct branches would you expect along the [100] direction...

Homework Statement [/B] My question is more about the math of the problem. For equation 22.97, how do I construct a 3x3 matrix from a 12 element series? After constructing the matrix should I set the determinant equal to 0 where I will find the determinant has 3 solutions (2 being...

Hello, I am trying to create a mechanism that will allow for a motor to power a pendulum-like motion (but not an actual pendulum), back and forth. As shown in the picture, I need 180 degrees of rotation about the swinging part. I have researched escapement, but I need this design not to rely on...

Homework Statement Some sand is sprinkled onto the cone. The sand oscillates vertically with the frequency of the cone. The amplitude of oscillation of the cone is increased. At a particular amplitude of oscillation the sand begins to lose contact with the cone. By considering the forces...

Homework Statement I want to know why the answer is C not B. Thanks. Homework Equations F=kx The Attempt at a Solution

I first wanted to ask a very specific question: There is something called the Brunt-Vaisala frequency. It describes the frequency of oscillation in a fluid with a density gradient. Because if a parcel of fluid is pushed up or down from its stable state it will oscillate around it. What i don't...

Homework Statement A uniform rod of mass m and length L is freely pivoted at one end. What is the period of its oscillations? Icm for a uniform rod rotating about its centre of mass is 1/12mL2 (a) √3g/2L (b) 2π √3L/2g (c) 2π √2L/3g (d) 2π √L/g (e) none of the above Homework Equations ω2 =...

Homework Statement Hi everyone! I'm still trying to make my way through the wonderful land of oscillations. That's going to take a while. :DD The springs and shock absorbers of a small truck have been conceived, so that the truck body sinks of a distance s = 100mm by full load (total mass m =...

Homework Statement Homework Equations Find Time Period. Find the error in my solution. The Attempt at a Solution Where i am wrong ?

Homework Statement Hi everybody! Two masses m1 and m2 are connected with a spring one after the other to a wall (see attached picture). The spring constants are k1 and k2. To consider here are only longitudinal oscillations and no external forces. a) Express the Newtonian equations of motion...

Homework Statement Hi everybody! I'm trying to solve a basic problem about oscillations, but I struggle to get everything together when it comes to the differential equation...I hope someone can help me to understand it better :) A thin bar of mass m and length l is pivotable about its...

If I have a system where the following is found to describe the motion of three particles: The normal modes of the system are given by the following eigenvectors: $$(1,0,-1), (1,1,1), (1,-2,1)$$ How can I find the corresponding eigenfrequencies? It should be simple... What am I missing?

Let a mass oscillate with relativistic acceleration (sinusoidal) by means which are irrelevant. What does the gravitational field look like a distance R away?

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)...

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)...

This probably has a very simple explanation, but I really need to know! What I really want to know is, is there any equation that relates the number of oscillations to other factors such as length, force applied, etc. to a simple plastic desk ruler (image attached)? (or) if there isn't one, how...

Homework Statement This formula we've been using recently, I don't understand where it comes from. Homework Equations T = 2pi * sqrt(m/k) The Attempt at a Solution Hooke's law: F = -kx E(total) = .5mv^2 + .5kx^2 Circumference of a Circle: C = 2 * pi * r I figure these piece together, but I...

Homework Statement The periodic motion is given in the form: f(t) = Acos(wt+φ) What is the amplitude and phase constant for the harmonic oscillator when: (a) f(t) represents position function x(t) (b) f(t) represents velocity function v(t) (c) f(t) represents acceleration function a(t)...

Homework Statement So this is the question I need to solve. I was told to directly integrate the bottom equation to solve for x(t). I can solve (1) by differentiating (1) to turn it into 2nd order difffeq (mx''=kx), but I think I'm not allowed to do that ... I have no idea how to solve (2)...

Homework Statement A mass M hangs in equilibrium on a spring. M is made to oscillate about the equilibrium position by pulling it down 10 cm and releasing it. The time for M to travel back to the equilibrium position for the first time is 0.5s. Which line, A to D, is correct for these...

So there is this ball held on a spring. It's radius R = 0.015m , and density ρ=7800kg/m^3. It's oscillation period in air is 1.256 seconds and in the fluid it changes to 1.57 seconds. Find the viscosity of the fluid considering that the drag force obeys Stokes law. I first found the spring...

Homework Statement how far from the rim of a disk of Radius R must the pivot point be located in order for its period of oscillation to be a minmum where R is the distance from the point to the centre of mass? I'm stuck at the derivative because I saw a similar problem where the answer is...

I have some difficulties regarding oscillation and SHM, i hope someone makes it clearer to me. Firstly, I don't have a good intuition of the formulas for velocity and acceleration as functions of time. I have no idea why the negative sign is present in the formula and what it's supposed to mean...

Homework Statement A mass on a long elastic cord oscillates with an amplitude of 23 cm. If the energy of this system is reduced by fiction to half its value, what will be its amplitude? Homework Equations Looking though my book or resources on the internet have not revealed a path for this...

My textbook says, "Very often the body undergoing periodic motion has an equilibrium position somewhere inside its path." " If a body is given a small displacement from the equilibrium position, a force comes into play which tries to bring the body back to the equilibrium point giving rise to...

Homework Statement A simple pendulum consists of a mass m suspended by a ball to a yarn (massless) of length l. We neglect friction forces. Give the list of every forces applied to this system and then the motion of equation. Why is the following equations necessary to find the motion...

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...

what's the relation between kaon antikaon oscillation and two body problem . My teacher told me that I should learn kaon antikaon oscillation. . I can't find anything about it.

I carried out a physics experiment and I wanted to analysis the problem with matlab. I have some code in MATLAB that "works" as in it gives ok result but the numbers used are quite nonsensical, I need help making the reworking the equation with real numbers. I am not sure if this is the correct...

Homework Statement A 2.00-kg object is attached to an ideal massless horizontal spring of spring constant 100.0 N/m and is at rest on a frictionless horizontal table. The spring is aligned along the x-axis and is fixed to a peg in the table. Suddenly this mass is struck by another 2.00-kg...

A suspension bridge oscillates with an effective force constant of N/m. (a) How much energy is needed to make it oscillate with an amplitude of 0.106 m? (b) If soldiers march across the bridge with a cadence equal to the bridge's natural frequency and impart J of energy each second, how many...

(a) A wave traveling on a Slinky® that is stretched to 4.5 m takes 2.6 s to travel the length of the Slinky and back again. What is the speed of the wave? For this one, I did v = d/t = 4.5 m / 2.6 s = 1.73 m/s Then I did v = (1.73)(2) = 3.46 m/s This is correct (b) Using the same Slinky...

Homework Statement Suppose that two neutrinos are created in the sun - call the states |{ \nu_1}\rangle and |{ \nu_2}\rangle . (Among many other things) I am asked to show that once the neutrinos have propigated a distance x after a time t, the states satisfy: |{ \nu_1}(x,t)\rangle =...

Homework Statement Basically, the goal of the "project" is to find the equation for oscillation of a "fractionless" fluid in a v-shaped tube, regarding the angle. I know how to solve the same problem regarding a u-shaped tube, but in this case, I can't figure out where to place the angle in the...

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...