The oscillators tag has no wiki summary.
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1answer
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Applications to the Van der Pol equation? [closed]
What are some applications to the Van der Pol equation? Are there any physical examples?
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0answers
40 views
How to derive an oscillation period formula? [closed]
Given that the position function of a object flowing on a circle is $y = w-a\sin(y)$.
Why does the oscillation period $T = \int dt$ ? Why does this make sense?
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Is it possible to find a “replacement pendulum” for a system of two equal but perpendicular pendulums?
I ask this question, because at the end of this long day I'm just too dazed to derive the proofs myself (even though I know that I should feel ashamed for this).
So, the question:
Given two ...
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1answer
58 views
Would a truly physical oscillation still be measured in hertz?
I recently bought a new scroll saw and was commenting to someone about how it was a relatively slow saw... low ... RPMs (thinking like a circular saw). Then it occurred to me that not being a circle, ...
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0answers
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Does a change in mass of a bob affect the time period? [closed]
If the mass of the bob is doubled, how does it affect the time period of the pendulum when attached with:
Elastic Spring.
Inelastic Spring.
Respectively?
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1answer
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Does a guitar sound different in zero (or micro) gravity?
Seeing a video of astronaut Chris Hadfield playing a guitar on the International Space Station made me wonder if a guitar or other stringed instrument played in zero-G would sound any different than ...
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2answers
47 views
Probability of position in linear shm?
The problem that got me thinking goes like this:-
Find $dp/dx$ where $p$ is the probability of finding a body at a random instant of time undergoing linear shm according to $x=a\sin(\omega t)$. ...
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48 views
Determining the length of a Torsional Pendulum
Currently working on this question, however I'm not sure how to solve it.
As a pendulum swings in simple harmonic motion at the surface of the Earth, the angle the pendulum makes relative to its ...
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1answer
101 views
Damped oscilator - logarithmic decrement of damping
Could you please tell me, where is the mistake?
What is the logarithmic decrement of damping $Λ$ of damped harmonic oscillator, if its mechanical energy decreases to the 50% of its initial value ...
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1answer
43 views
Harmonic oscillator with light damping
My textbook gives the following for x as a function of time for a lightly damped harmonic oscillator: $$ x = Ae^{- \gamma t} \cos (\omega \, t)$$
for $\gamma = \dfrac b {2m}$.
It says this implies ...
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1answer
41 views
Pendulum system: how is derived the output as Energy?
Good day to everyone,
I want to understand in which way the "Energy equation" is been implemented to this pendulum system.
$x_1(t)$: The angular position of the mass
$x_2(t)$: The angular velocity
...
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0answers
30 views
Find Resonance Frequencies [closed]
How can I find the resonance frequencies for the harmonic dumped oscillator when it is written in this form?
$$y''\left(t\right)+2\zeta y'\left(t\right)+y\left(t\right)=\sin{(\omega t+\phi)}$$
where ...
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0answers
42 views
Compound pendulum clarification?
I read in a book the following about compound pendulum and small displacements:
There are two points only for which the time period is minimum.
there are maximum 4 points for which the time ...
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1answer
103 views
Standing Waves: finding the number of antinodes [closed]
A string with a fixed frequency vibrator at one end forms a standing wave with 4 antinodes when under tension T1. When the tension is slowly increased, the standing wave disappears until tension T2 is ...
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2answers
138 views
Calculating phase difference of sound waves
An observer stands 3 m from speaker A and 5 m from speaker B. Both speakers, oscillating in phase, produce waves with a frequency of 250 Hz. The speed of sound in air is 340 m/s. What is the phase ...
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Relation of the Bloch-Siegert shift to the rotating pot lid
I see in Wikipedia that the Bloch-Siegert shift is analogies to the rotating pot lid, could you explain that analogy?
The Bloch-Siegert shift is a phenomenon in quantum physics that becomes ...
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3answers
147 views
Non-SHM oscillatory motion
How to solve these kind of questions , where $|F| \propto x^2$?
How to find time period and velocity type related things to the oscillatory motion?
...
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1answer
106 views
Simple pendulum period in three different cases
Imagine you have a simple pendulum hanging on the ceiling of a train which has a period called T. How will the period be in the following cases:
When the train is in circular motion in a curve of ...
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3answers
196 views
What is the period of a physical pendulum without using small-angle approximation?
What is the expression for the period of a physical pendulum without the $\sin\theta\approx\theta$ approximation? i.e. a pendulum described by this equation:
$$
mgd\sin(\theta)=-I\ddot\theta
$$
...
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0answers
138 views
Calculating effective spring constant of trampoline [closed]
A gymnast bouncing a trampoline is performing vertical oscillations. If he bounces very gently, his feet remain in contact with the trampoline at all times. This motion is approximately a simple ...
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2answers
136 views
Why is simple harmonic motion called so?
Is the motion of a simple pendulum, a simple harmonic motion? It stops vibrating after sometime.
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2answers
115 views
Motion of a pendulum
The equations of motions for a simple pendulum is given by
$$\ddot{\theta} ~=~ -\frac{g}{\ell}\sin(\theta),$$
where $g$ is acceleration due to gravity and $\ell$ is the length of the pendulum's ...
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3answers
97 views
Condition for closed orbit [closed]
I'd like to know when an orbit is closed. I know that, to have a closed orbit, there is a ratio that must be a rational number, but I don't know other things..
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97 views
Small oscillations: diagonal matrix [closed]
I'm solving an exercise about small oscillations.
I name $T$ the kinetic matrix and $H$ the hessian matrix of potential.
The matrix $\omega^2 T- H$ is diagonal and so find the auto-frequencies is ...
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1answer
115 views
Determining the frequency of a ruler laying on two spinning cylinders [closed]
I am stuck on this homework problem. Any help would be appreciated, even if it's a push in the right direction.
A ruler of mass m = 75g and L = 3.0 meters is placed so that it is exactly balanced ...
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61 views
Currents and fields of a magnetron
I can't make heads or tails of the descriptions of magnetrons (i.e. microwave) I'm reading online. Hyperphysics does the best job of illustrating fields and currents, but the story of its operation ...
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1answer
83 views
Why don't we use quater-circular dees instead of semi-circular dees in a Cyclotron
This is the setup, I have in my mind:
O1, O2, O3 and O4 are 4 oscillators.
The arrows in between the Dees represent the alternating EMF the Oscillators will generate.
I think we can easily adjust ...
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1answer
81 views
How do I account for the direction of friction acting on a spring?
I would like to set up the equations of motion for a simple spring oscillator.
Let's have a spring lying horizontally; we attach a small mass $m$ to the (massless) spring.
The force of the spring ...
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2answers
674 views
Phase difference of driving frequency and oscillating frequency
If a mass is attached to a spring and is oscillating (SHM). If a driving force is applied it must be at the same frequency as the mass's oscillation frequency. However I'm told that the phase ...
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0answers
160 views
Normal modes of oscillation: how to find them
Are normal modes the eigenvectors of the matrix $(\omega ^2 T- V)$ where $T$ is the matrix of kinetic energy and $V$ is the matrix of potential energy?
Is it the only way to express them?
How can I ...
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2answers
170 views
“Inverted” quantum oscillator
I'm trying to understand the problem of the "inverted" oscillator, which has the following Hamiltonian:
$$
\hat{H}=\frac{\hat{p}^{2}}{2m}-\frac{k\hat{x}^{2}}{2}
$$
Suppose that a particle at the ...
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0answers
149 views
Change in time period of pendulum [closed]
A pendulum of effective length $L$ has a bob of radius $R$ filled with water. If the water freezes to ice, what is the change in the time period of the pendulum?
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2answers
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Small Oscillations and matrices: suggestion about text
I'm undergraduate and I'm looking for a text about Small Oscillations in which matrices are used. Could you suggest me a book or a PDF file?
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1answer
166 views
Symbol for dashpot/damper (in a harmonic oscillator)
In diagrams that contain the dashpot symbol, sometimes the mass is attached to the "interior" end of the dashpot, other times the mass is attached to the "base" end.
For example, consider the ...
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After quantization of electron vibrations, do we need electrons anyway?
The title question is not ment in a general context, but one in which goes to the plasmon theory.
In that case, how is are the statistics (boson vs. fermions) of plasmons determined?
And is there an ...
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1answer
325 views
How the frequency of the oscillation is affected?
Is the frequency of oscillation of a rotating disk affected if a mass hanging from (attached to the disk but pulled by gravity) the disk exerts a torque on the rotating disk?
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The Gravity Spring [closed]
This problem examines the scenario of a tunnel drilled through the center of the Earth, and the length of time required for an object to fall through the hole and back again.
use trigonometry to ...
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2answers
207 views
Why do joined massless springs, act like a rope under tension?
In an oscillations exercise there is a spring attached to another spring, attached to a block.
Long story short: I have to find the global $k$.
In the solutions it says:
"Because the springs are ...
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3answers
334 views
How does energy depend on frequency in an alternating current circuit?
In what relation is the energy input in an alternating current circuit to its frequency?
I'd guess I have to compute something like
$$E=\int P(\omega,t) dt=\int U(\omega,t) I(\omega,t) dt, $$
but ...
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Springs yet again, this time with a picture. Infinite displacement, makes no sense [duplicate]
Possible Duplicate:
How could this damped oscillator ever go to infinity? Or negative infinity for that matter?
Consider this
!
Where I purposely drew the right arrow bigger than the left ...
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2answers
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How does the Milkovic Two-Stage Mechanical Oscillator Pendulum-Lever System work?
See http://peswiki.com/index.php/Directory:Milkovic_Two-Stage_Mechanical_Oscillator
The Two-Stage Mechanical Oscillator Pendulum-Lever System is very simple, yet very puzzling because it appears ...
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2answers
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When are Maximum Velocity and Acceleration acheived in Simple Harmonic Motion?
Im trying to get my head around SMH out of curiosity because it seems simple yet I'm not getting the concept behind some ideas.
For a SMH equation :
$$ x=a \sin(\omega t+\phi) $$
Under what ...
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1answer
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Finding Phase angle of Simple Harmonic Motion?
A sinusoidal oscillator has :
$$x=x_{max} \cos(\omega t - \varphi )$$
Period is 2, initial displacement is 100mm
initial velocity is 200mm/s
What is the phase angle assuming $-\pi < \varphi < ...
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2answers
276 views
How could this damped oscillator ever go to infinity? Or negative infinity for that matter?
This is an ODE problem,but I cannot visualize why it can go to infinity or negative infinity.
Consider
$$x'' -6x' + 8x = 0$$
Where $x''$ is acceleration, $-6x'$ is the ...
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1answer
177 views
What makes up a resonator of radio?
I was reading this article about resonators.
Quote:
The sine wave that matches that particular frequency will get
amplified by the resonator, and all of the other frequencies will be
...
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3answers
178 views
Quality factor for a quantum oscillator?
I've been reading papers about nanomechanical oscillators, and the concept of quality factor often pops up. I understand to some extent about Q factor in classical sense, but since nanomechanic ...
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0answers
125 views
Conveyor scales modeling
Assume we have a conveyor scales. Which consists of scales, and motor with conveyor belt placed above, so that the boxes can be measured (weight) while moving above. What I want is to create the model ...
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1answer
767 views
How does the X-Y mode of an oscilloscope work?
I recently used an oscilloscope in X-Y mode to draw the phase ellipsis of two voltages. I then used the formula phi = arcsin(2y/B) where y is the value of the ellipsis at x = 0 and B is the total ...
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2answers
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Conservation of energy in a non-linear oscillator
I have a homework question about a "non-linear oscillator". I actually have an answer to this question, but the answer I get is stronger than what is needed according to the question. The question ...
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1answer
222 views
Help understanding this forced undamped oscillator
I have a forced oscillating system, with driving force as $f_0\cos\omega_0 t \cos \delta t$ giving the equation of motion:
$$\ddot{x}(t) +\Gamma \dot{x}(t) +\omega_0^2x(t) = f_0\cos\omega_0 t \cos ...
