Questions tagged [oscillators]

A mechanical or electronic system or device that works on the principles of oscillation, that is a periodic fluctuation between two things based on changes in energy. These range from abstract models such as a harmonic oscillator to electrical devices such as an LC circuit.

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Is projection of a simple pendulum, doing SHM as well?

I know projection/shadow of a Uniform Cirular Motion does SHM, and a simple pendulum also does shm. But I was wondering whether, for a pendulum in $xy$ plane having its central axis parallel to $y$ ...
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How to prove the phase constant is $φ=\arctan(-b/2mω)$ in an underdamped system when the startin velocity is 0?

I have trouble with a minor part of my physics project. I need to show how you get that the phase constant is φ = arctan(-b/2mω) when I know the starting velocuty is 0 in an underdamped system. I have ...
1 vote
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Numerically determining steady state in oscillating systems

As the title says, I'm trying to determine numerically when an n-DOF oscillating system (linear or nonlinear) subjected to forced base oscillation reaches the steady state solution. Is there an energy ...
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Force-dependency of frequency response of driven harmonic oscillator with damping

For a driven harmonic oscillator with damping of the form $$\ddot{x} + 2\xi\omega_0\dot{x} + \omega_0^2x = \frac{F_0}{m}cos(wt)$$ with damping ratio $\xi$ and natural ...
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Approximate Solution to Damped Nonlinear Pendulum

The Nonlinear Damped Pendulum Equation $\ddot{\theta}+\frac{b}{m}\dot{\theta}+\frac{g}{l}\sin(\theta)=0$ isn’t exactly solvable unlike the Nonlinear Pendulum as there’s no constant of motion namely ...
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The frequency is off by a factor of $2 \pi$?

I was reading Morin's Introduction to Mechanics, and the following material came up: At equilibrium point $x_0$ expanding the Taylor series, we see $V(x)=\frac12 V''(x_0)(x-x_0)^2$ so comparing this ...
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Solutions to critically damped harmonic oscillator?

From MITOpenCourseWare, I was learning about the damped harmonic oscillator. Some context is pasted below. Case (iii) Critical Damping (repeated real roots) If $b^2 = 4mk$ then the term under the ...
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Steady-state of an expectation value of an oscillator system

For context, I am dealing with an equation of motion for the expectation value $\beta=\left\langle\hat{b}\right\rangle$ of a quantum van der Pol oscillator. But I would love a more general explanation....
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In a damped oscillation with damping force $F=-bu$ at which position does the maximum velocity occur?

In a SHO we know that V will become a maximum in the equilibrium position with V= Aω. Does the same apply to a damped oscillation with the damping force being F=-bu or is the position somewhere else?
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Show that $dE/dt = -bv^2$ (Help with differentiation) [closed]

The question is: Show that $$dE/dt = -b (dx/dt)^2.$$ And the solution is: ...
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Analytic description of oscillations in a rotating frame of reference?

Imagine you have a pendulum attached to a rotating axis. You define two frames of reference. In the $S$ frame, the pendulum is oscilating and rotating around this axis. The $S'$ frame is define such ...
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Does rhythm create pitch?

As in, matter (a physical object) that is vibrating = a pitch And secondly If we calculate bpm with a “tick” which is just indefinite pitched percussion, how does an indefinite pitched beat compare to ...
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Natural Harmonics on a String

Consider the Dirichlet boundary value problem of a guitar string stretched between two fixed points which is made to oscillate by pinching and releasing the string. It can be shown in quite ...
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Neutrino oscillations and neutrino mass measurement

At the KIT they have been measuring the mass of the electron neutrino with a huge spectrometer (i.e. they make an enormous effort) and already published limits on the highest possible electron ...
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What is the meaning of an imaginary part of position in Lorentz-Drude model?

Some time ago I got to know about Lorentz-Drude model, which predicts dependence of complex permittivity $\varepsilon = \varepsilon_1 + i \varepsilon_2$ from classical assumptions. In the model, ...
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Bubble phenomenon

A few days ago I encountered a problem that caught my attention: The surface of an air bubble oscillates at a frequency of $20$ kHZ. We observe that this oscillation causes another air bubble nearby ...
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Equation of motion for a driven mechanical oscillator

I'm trying to derive the differential equation for a driven horizontal mechanical oscillator. If I suppose that a spring is fixed at one end and attached to a solid at the other end and that the solid ...
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Effect of the length $\ell$ on a pendulum

Currently, I am trying to intuitively understand how the length $\ell$ affects the period of a pendulum. I understand that the shorter the length $\ell$, the shorter the time period $T$. When we have ...
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What is the role of fictitious force in simple harmonic motion?

While I was searching about simple harmonic motion, Wikipedia defined it as, "In mechanics and physics, simple harmonic motion (sometimes abbreviated SHM) is a special type of periodic motion of ...
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Complete Solution to Damped Pendulum Second-Order Differential [duplicate]

Of all the pages I've read on this stack exchange, I've seen numerous proofs and comments on the complete solution to the period of an undamped pendulum, and they all involve complete elliptic ...
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Damped harmonic motion experiment, bad results but good statistics

I've done an experiment with a pendulum swinging at very small angles. I added an object with the shape of a rectangle to it, to increase the air friction to create damped harmonic motion. This is the ...
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How we can study sinusoidal rectilinear motion? [duplicate]

I don't understand rectilinear sinusoidal motion well, for exemple if I have the time of achieve the end of the trajectory how I can find the period T to calculate Omega? I really need a text book to ...
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Time period of a simple pendulum confusion

While calculating the time period of a simple pendulum, i.e $$T=2\pi\sqrt{\frac{L}{g}}$$ Why do we consider the effective length, $L$? It is the distance from the point of suspension to the centre of ...
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Can a pendulum have detectable harmonic frequencies

Can a pendulum produce harmonic frequencies? Like could I detect harmonic frequencies if I had a sensor on the pendulum?
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How did Léon Foucault showcase his Foucault's Pendulum?

When I was thinking of Foucault's pendulum , this question was always bugging me. If we are all rotating with the same speed in one reference frame as the surface of earth with the pendulum , then the ...
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