Questions tagged [oscillators]

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5
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2answers
434 views

Can photons with same energies have different amplitude?

Could two photons with same frequency have different amplitudes and so different peak velocities of oscillations perpendicular to their direction? (to make a larger distance in same interval you need ...
1
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2answers
68 views

Gravitational Oscillation and Kepler's Third Law [duplicate]

I want to figure out the motion of a comet that can somehow pass freely through the sun (mass much, much greater than the comet's so that its movement is negligible) if it starts out stationary ...
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1answer
55 views

What are the factors that affect the dampening of spring-mass system? [closed]

I'm trying to investigate how different values of spring constant affect the changes in amplitude and period of oscillations while the spring-mass system undergoes dampening. However, I have to make ...
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0answers
16 views

Is it possible for two opposing magnetic fields to generate an oscillation?

Suppose you had two varying EM-fields both in opposition, but these fields have an associated curvature because the coils are circular, equal to one over the radius squared $c=\frac{1}{r^{2}}$ which ...
1
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1answer
42 views

Finding the conditions for a resonant (unique single mode) state in the wave equation

If we have a string of length $L$ in constant tension $T$ and we oscillate one of the extremes at the rate $\sin{\frac{\pi nc t}{L}}$, we observe in a lab that single harmonics are produced. I want to ...
1
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1answer
61 views

Forced oscillation and resonance: formula for the externally applied force

In forced oscillation the formula for the externally applied force is $F = \cos(\omega t)$ in almost every book except one book, which uses $F = \sin(\omega t)$. If the equation for the position is $...
-2
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2answers
111 views

Definition of 1 second [closed]

"One second is the time that elapses during 9,192,631,770 cycles of the radiation produced by the transition between two levels of the cesium 133 atom." Can we alternatively define it as, Frequency ...
0
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0answers
42 views

Forced Oscillations: What exactly is happening? [duplicate]

In a forced oscillation, what exactly is happening? My textbook says that: The oscillator, initially, oscillates with the natural frequency. When we apply external periodic force, the oscillation with ...
0
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1answer
131 views

What is the damping coefficient of air? How about steel?

I need the value for the damping coefficient of air for a mass-spring system simple harmonic motion experiment. I can't seem to find a value for this anywhere else.
1
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1answer
160 views

Simple pendulum from d'Alembert's principle [closed]

I was trying to obtain the equation of motion for a simple pendulum using d'Alembert principle. It is well known that the simple pendulum satisfies the constraint $x^2+y^2=L^2$. By using trigonometry, ...
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2answers
125 views

Simple harmonic motion amplitude of oscillation

I know that for a pendulum we need small amplitudes. But why is it necessary that a spring oscillator should have small amplitude of oscillation?
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2answers
38 views

Graph of periodic motion due to wave

Wave is a disturbance in a medium, due to this disturbance the particles in the medium oscillate. Due to this oscillation we say that the wave is sinusoidal because the motion of the particle is ...
4
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1answer
61 views

Normal modes of vibration of a plate vs a membrane

I have been studying Chladni patterns but recently I have stumbled on some conceptual questions that I seem to not have an answer. At first I thought that the theory would be the same of a vibrating ...
1
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1answer
59 views

Torsional Pendulum: Deriving an expression with time Period, Suspension Length, Moment of Inertia and Rigidy Modulus Constant

I have been looking for the derivation/place where I can quote the formula $T=\frac{2\pi}{r^2}\sqrt{\frac{2IL}{\eta\pi}}$ from as I remember seeing in class but can't seem to find it online to quote/...
0
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1answer
38 views

Damping coefficient

I'm trying to investigate the relationship between damping ratio and mass for a physics experiment, but I am unable to find any values of the damping coefficient $c$. Firstly, does the damping ...
0
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1answer
26 views

What exactly do we mean by 'Free spectral range'?

While reading about Fabry perot interferometers, we conclude that transmission can only happen when twice optical length of the cavity is equal to an integer multiple of the wavelength of the incident ...
9
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3answers
850 views

How do we dampen a spring-mass system with respect to time?

Here https://en.wikipedia.org/wiki/Harmonic_oscillator we have an equation for displacement of a mass on a string as a function of time. ${\displaystyle x(t)=A\cos \left({\sqrt {\frac {k}{m}}}t\right)...
1
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3answers
60 views

Is the time for a complete rotation of the plane of swing of a Foucault pendulum only a function of latitude?

The context is explained in this post: What is the reason for the orbital movement of the Foucault pendulum? But now my question is not about the orbital behaviour of the pendulum. I wonder if the ...
0
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3answers
50 views

Identification of oscillatory motion

How to check if a motion is oscillatory or not? What is the condition for an oscillatory motion?
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0answers
34 views

Coupled oscilators doubts and cases

I'm having some troubles with some questions of coupled oscillators, there are not difficult questions but i doubt in my reasoning and i I have not found anything about this doubts. First of all, i ...
0
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1answer
50 views

Time Period of a periodic function

Consider the following periodic function: $$ f(t) = \sin(ωt) + \cos(2ωt) + \sin(4ωt) $$ What is the time period of the above periodic function? The following is given in my book: Period is the ...
2
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1answer
44 views

Quantising a Damped Mass on a Spring

Background: this question discusses Lagrangian/Hamiltonian formulation of a dissipative problem. However, I'm not clear if this can be made quantum and would like a more explicit roadmap if possible. ...
1
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1answer
36 views

Difference between oscillation and radiation?

Im doing this specifically in terms of the Zeeman effect, but in general I have read some stuff about osciallations and orientations that is confusing me. If we have a magnetic dipole, propagating a ...
1
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0answers
21 views

By just looking at the time period of the oscillation, can we know whether the motion is simple harmonic or not? [closed]

My questions are: (1) By just looking at the time period of the oscillation, can we know whether the motion is simple harmonic or not? How? (2) Is the same true for angular (circular) SHM?
2
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0answers
39 views

Nature of forces in damped oscillations [closed]

What type of motion is seen in damped oscillation. It is definitely not simple harmonic motion but then time period of the motion is constant and amplitude keeps on decreasing so physically what is ...
1
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1answer
34 views

Combination of perpendicular simple harmonic motions [closed]

We solve questions for two simple harmonic motions which are said to be perpendicular but while solving their angles or phase differences is not 90° so what is the significance of perpendicular shms
0
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1answer
48 views

Which equation to use for simple harmonic motion?

I recently started studying simple harmonic motion and I came across two equations for the displacement of a particle, as given in my textbook: \begin{align} y &= a\sin(\omega t +\phi)\\ x &= ...
1
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0answers
82 views

How does neglecting the mass of a spring with non-negligible mass affect the calculation of the total energy of the oscillator?

Consider a spring-mass system with spring constant $k$ undergoing simple harmonic motion with amplitude $A$. How/why will neglecting the mass contributed to the oscillator by the spring itself affect ...
1
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1answer
147 views

Oscillator with quadratic drag

The equation of motion for a Harmonic oscillator with linear drag is, by Newton's second law, $$m \ddot{x}(t)+b \dot{x}(t)+kx(t)=0.\tag{1}$$ This is a linear differential equation that can be solved ...
0
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0answers
33 views

How long should I record the data of walking acceleration for FFT analysis?

Seems there is no apparent frequency of walking activity (it should be approximately close to 2 Hz) Is it because the time of the data is too short? Here is my csv file:enter link description here
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0answers
32 views

Simple Pendulum with Arbitrary Velocity

I tried my hand at analytically solving the simple pendulum, and got an expression for its motion for arbitrary position and velocity. It matches with the expression found here exactly, which is for ...
2
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1answer
54 views

How does the tuned mass damper on Taipei 101 work?

I'm interested in how the tuned mass damper on the top floors of Taipei 101 works, particularly how do engineers ensure that it dampens oscillation rather than making it worse. The damper can be ...
1
vote
1answer
275 views

Should damping ratio increase or decrease with increase in mass?

I'm currently doing a small project in college for structures being damped. We're adding weights to a structure and measuring the damping affect. We've calculated the damping ratio and coeffecients, ...
0
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3answers
103 views

Projection of elliptical motion

SETUP :- Here I have a line that rotates with a constant angular velocity and intersects a circle and an ellipse. The ellipse's major axis is equal in length to the diameter of the circle. The ...
0
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1answer
64 views

How to obtain the time period from the Lagrangian equation for a simple pendulum?

Solving the Lagrangian equation for a simple pendulum we get the following equation: $$\ddot{\theta} + \frac{g \theta}{l} = 0,$$ (when $\theta$ is small enough). We already know that time period of a ...
1
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3answers
45 views

How can I calculate the “wasted” force in a rotation-to-occillation piston?

A piston doesn't change its angle when its connecting rod's angle is changed from the pulling/pushing of the wheel/crankshaft because it needs to be inside of a constraint (a cylinder or track to hold ...
1
vote
1answer
75 views

What is the reason for the orbital movement of the Foucault pendulum?

The Foucault pendulum, now in exhibition at the Paris Pantheon, is 67 meters high, with a period of oscillation about 16 s. Its oscillations last for more than one hour, when an employee manually ...
1
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1answer
51 views

Eigenvalue for complex variable

I was trying to reproduce the results of an exercise where they calculate the normal modes of oscillation. $$\begin{pmatrix} \dfrac{d}{dt}C \\ \dfrac{d}{dt}C^{*} \end{pmatrix}= - \dfrac{1}{i} \...
0
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0answers
35 views

Two-coupled oscillator, problem understanding general solution

I want to find the general solution of this system: First, let's assume that the system is symmetric, i.e the masses are equal. By using newtons second law for rotation on the points where the rope ...
-1
votes
1answer
41 views

How to understand motion of waves through functions of two variables - time and distance? [closed]

$$ s(x,t)= A \sin(\frac{2\pi}{T}t-\frac{2\pi}{\lambda}x) $$ Basically I would love to get some plausible and thorough explanation of plotting these two independent variables in order to satisfy the ...
0
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1answer
37 views

$Q$-factor of oscillator [duplicate]

Given the equation for a damped oscillator is $$\ddot{x}+\gamma\dot{x}+\omega_0^2x=0$$ Is the $Q$ factor of the system given by $\omega_0/\gamma$ or $\omega_0/2\gamma$? I have seen both forms come ...
0
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0answers
40 views

Damped Forced Oscillator with initial conditions

The equation of motion of a damped forced oscillator is; $$\ddot{x}(t)+\gamma\dot{x}(t)+\omega_0^2x(t)=F(t),$$ $$F(t) = F_0 \cos(\omega_dt);$$ also for the purpose of this problem we may set $\...
0
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0answers
56 views

Elongation of a simple pendulum

One of the questions on this weeks question sheet asks for the maximum elongation of a simple pendulum. The pendulum is set in motion on the moon with f = 0.5Hz. What is meant by the elongation of the ...
0
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0answers
22 views

Effect of external forces on a horizontal mass dampener

I am reading this paper which models the motion of a horizontal mass dampener. They say that on adding a dampener, the equation consisting of the forces is: $ma = -cv -kx$ where $ c$ = damping ...
0
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0answers
28 views

Dynamics problem related to harmonic motion

I am unable to proceed further , the particle in this is falling with variable acceleration Fy toward origin with its greatest and least values given of the function is given, please explain where ...
0
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3answers
106 views

Does resonance just depends upon the frequency of the external periodic force and the natural frequency of an object?

I am a little confused about the phenomenon of resonance, I read that it occurs when the frequency of an external force matches the natural frequency of an object. So, it was given that soldiers ...
0
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1answer
168 views

$Q$ factor of a pendulum

according to the definition of the Q-factor of damping, it is given by: $Q = 2\pi\frac{Energy \; Stored}{ Energy \;Dissipated \; per \;cycle }$ Q = 1⁄2 --> Critical damping Q > ​1⁄2 --> Over ...
1
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0answers
69 views

External force in the Navier-Stokes momentum equation

The Navier-Stokes momentum equation is $$ \rho\frac{\partial \bf{v}}{\partial t}+\rho(\bf{v} \cdot \nabla\bf{v})=-\nabla P + \nabla\cdot \bf{\tau} +\bf f $$ where $\tau$ is the deviatoric stress ...
1
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0answers
40 views

Why is water in the asymmetric cylinder not capable of Simple Harmonic Motion?

I'm learning physics in a high school. I'm curious why water in the asymmetric cylinder is not capable of SHM. I've learned that water in a symmetric cylinder can make a Simple Harmonic Motion. But ...
2
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1answer
71 views

Solution of a differential equation in physics

In physics when we solve the differential equation, in some cases we get two part of the solution, one is real and another is imaginary. Some cases we consider that the real part have some physical ...

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