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Questions tagged [resonance]

Resonance is a characteristic of physical systems having a structure that allows energy to flow between various states at a specific, oscillatory rate (resonant frequency). For a stable resonant system at steady state the internal energy is either fixed without losses or the rate of energy input is equal to the energy losses.

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Length of Tubing to Cents/Semitones

Is there a formula for calculating the length of tubing needed to produce a note on an instrument (for those fairly well versed in brass instruments - and possibly others, but I don't know much about ...
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Simple harmonic resonance

I understand that the driver force will be in phase with the driven velocity at resonance. However, what will happen if I use the same force with the same frequency(resonance frequency) but applied it ...
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What does “relatively uniform resonant frequency” mean?

In the book What If? from Randall Munroe, the author writes: Q: Assuming a relatively uniform resonant frequency in a passenger jet, how many cats, meowing at what resonant frequency of said jet, ...
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Resonance in an LCR circuit

What's the significance of resonance in an LCR circuit? My book says something like this "Every system has a tendency to oscillate at a particular frequency. This frequency is known as the system'...
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How to mathematically prove that a linear system's vibration frequency is equal to frequency of the harmonic external force?

I was reading about "Vibration" on Wikipedia: Forced vibration: 'for linear systems, the frequency of the steady-state vibration response resulting from the application of a periodic, harmonic ...
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Breit-Wigner Peak - Not quite a Lorentzian?

The non-relativistic Breit-Wigner peak is given by: $$\sigma_{fi}=\frac{\pi\hbar^2}{q^2} \frac{2j+1}{(2S_1+1)(2S_2+1)} \frac{\Gamma_i \Gamma_f}{(E-Mc^2)^2+\Gamma^2/4}$$ where $q$ is the center of mass ...
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372 views

Standing waves in a phone pole [closed]

Consider a telephone pole having standing waves generated in its length by prevailing winds. If the length of the pole above the ground is 25m and the speed of sound through the pole is 75m/s what is ...
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125 views

Another way to define resonance?

Considering descriptive (and not necessarily applied) physics, would it be proper to define resonance as: "One of the fundamental means of storing energy" ? Of course there are other ways to store ...
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757 views

How does the viscosity of the liquid in a wine glass affect its resonance?

I believe the title is self explanatory. How does it affect for instance the resonant frequency of the wine glass?
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overstability vs resonance: what is the difference?

Reading about discs, I encountered the word 'overstability' that its difference with resonance is not clear to me. Does anyone know the difference?
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Why dosn't amplitude increase when drive frequency is above resonance?

Why doesn't amplitude increase when the frequency of external periodic force increases above the natural frequency of the vibrating object?
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Aerogel resonator

I'd like to find an approximate relationship between the peak velocity for an aerogel resonator, resonating at (angular) frequency $\omega$, and the amplitude of motion. Essentially the fact it's ...
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595 views

Chladni Patterns [closed]

I'm trying to make a simulation for Chladni plates but I still can't relate the explanations I've read about $m$ and $n$ values to this Diagram about rectangular plates, actually those explanations ...
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a Non-linear Mass-spring system with different force and vibration frequency?

I got a classic mass-spring system with zero damp ratio, having weird behaviour. The input frequency of external force is twice that of the output displacement results. While linear systems' input &...
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212 views

How resonance increases friction?

My lecturer at the engineering school that I study said that friction is not yet completely understood and that smooth surfaces could have a higher friction coefficient than rough ones. He attributed ...
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3answers
361 views

In a laser, why are modes near the resonance frequency favored?

Before asking my question, I will illustrate how our lecturer treated a Fabry Perot interferometer, because my question is linked to this topic. Of all the different models to describe laser ...
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Why impedance of parallel resonance circuit (RLC) is maximum?

Why is the impedance maximized at resonance in a parallel LRC circuit, whereas it is minimized in a series LRC circuit? In both cases, is the impedance purely resistive on resonance?
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Why does water 'reflect' a standing sound wave in a tube

I'm reading about (standing) sound waves and one example is that of an vertical pipe that has a standing sound wave in it. It is then filled halfway with water and since the length of the pipe ...
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350 views

What is the resonance frequency of these circuits?

I am learning about RLC circuits, and I understand that the resonant frequency for a circuit where the capacitor and inductor are in series (and there may or may not be a resistor in series as well to ...
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$Q$-factor of an $RLC$ circuit

I am given this question: The question explicitly mentioned that I could assume that $R>>1/wC$. However, after this assumption, the energy dissipated should be 0 and, hence, $Q$ should tend to ...
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Could someone explain the Forster Resonance Energy Transfer?

My understanding of it so far is rather messy, and I haven't found a good source yet that describes WHAT it is rather than just stating lots of equations! I have read a source that mentioned it having ...
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1k views

Why is the resonance frequency of an undamped oscillator equal to the undamped resonance?

I have read this post: 'How do you define the resonance frequency of a forced damped oscillator?' And I see that the resonant frequency occurs at the undamped oscillation frequency $\omega_0$ as ...
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Velocity vs Displacement resonance

If we have a driven damped harmonic oscillator: $$ \frac{d^2x}{dt^2}+\gamma\frac{dx}{dt}+\omega^2_0x=\frac{F}{m} e^{i\omega t} $$ amplitude resonant frequency occurs at: $ \omega_R^2 = \omega^2_0x-\...
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298 views

Standing sound wave in a tube and energy

We know that there is standing wave in a tube if we excite it with a source (ex:speaker). The energy "leaks" from the open end and we hear amplified sound. It seems strange to me: $Intensity = {power ...
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83 views

Being on the same wavelength [closed]

The usage of physics terminology outside of technically minded people seems limited. That's why I am curious about the phrase being on the same wavelength which as far as I understand is generally ...
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139 views

Why is the sound of filling a container with liquid always the same regardless of container?

I found a similar question asking why the sound changes as fluid level changes. Foobarbeque's answer mentions Helmholtz Resonance, and that the frequency depends on cavity volume, length of neck and ...
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What is the effect of a pair of different sounds or frequencies upon an object?

I am new to learning about the physics of sound, resonance, resonant frequency, and standing waves. Most of the sources I am reading describe the effect of a single frequency on an object when that ...
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122 views

Resonance- sound

Can someone please explain resonance to me? I thought it was when an external object has the same frequency as an object, so through constructive interference, the amplitude is intensified. And maybe ...
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870 views

How many natural frequencies does a beam have?

If you take a real 3D beam, how many natural frequencies does it have? Likewise, how many natural frequencies does a beam have if it's a one dimensional, like an Euler beam?
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370 views

Can you excite coupled pendula at the frequency difference?

Imagine the typical system of coupled oscillators = two pendula joined by a weak spring. The system is oscillating at the complex motion which arises when you displace one pendulum, say pendulum 1, ...
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Would it be possible to MRI (Magnetic Resonance Imaging) scan a whole building?

Would it be possible to scale up an earth field MRI (Magnetic Resonance Imaging) system to scan a building after an earthquake? To see if there is any hidden structural damage. Details on Earth field ...
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276 views

Dependence of Average energy of a Driven Damped Oscillator?

What I don't understand is - How they concluded that the average energy should be zero except near resonance - and how that implies that $\omega$ can be replaced by $\omega_{0}$ in this expression. Am ...
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Non-resonant but efficient frequencies

I understand that if the frequency of a driving force coincides with the natural frequency of an oscillator (say a pendulum), the rate at which energy is transferred to the same is maximized. However, ...
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673 views

Why isn't the resonance frequency of a vibration the damped frequency? [duplicate]

I had studied the damped forced vibration and had come to know that the angular speed of force which creates resonance is Which is counter-intuitive to me that the angular frequency should match ...
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Is resonance same as constant phase difference in waves?

Confused whether resonance means constant phase difference (mathematically).
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Can I shorten the resonant length of a tight wire by moving its endpoint in phase ?

A stretched string, tube or wireless antenna has a resonance fixed by the velocity of the wave (sound in air, metal, electrical wave etc.) and the length of the object. The fundamental occurs when a ...
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7k views

How and why does the height of water in a glass affect it's resonance? (resonant frequency)

Why does the resonance frequency of a vibrating wine glass changes with the level of water in the wine glass?
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1k views

Frequency of Damped Vibrations [duplicate]

In the chapter sound, my book states that the Frequency of damped vibrations is less than the natural frequency but I could not understand this because in damped vibrations the amplitude decreases and ...
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1answer
339 views

String Vibrations

Interesting thing I noticed just now playing my ukulele. For those who don't know how a ukulele works, it has four strings: a high G followed by a lower C, E, and A. Holding down frets causes the ...
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Modeling the field inside a cavity resonator

As part of the design of an experiment, I am trying to model the magnetic fields inside a hollow rectangular waveguide cavity. I have not had any problems calculating the cavity physical dimensions ...
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77 views

How does a “Haskell Resonator” work?

I would like a simple explanation of how a "Haskell Resonator" works. You may assume that I understand the Wikipedia paragraphs on open and closed resonator cylinders. Exactly how does placement of ...
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428 views

RLC circuit - calculating resonant frequency

If I take a series RLC circuit connected to a battery, the impedance is minimized when $\omega = \frac{1}{\sqrt{LC}}$. I also know that the series RLC circuit is analogous to a damped driven harmonic ...
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236 views

How to modify Breit-Wigner resonance formula in case of a nearby threshold?

When calculating the scattering cross-section via the resonance with mass $M$ one can use the Breit-Wigner formula \begin{equation}\frac{1}{s-M^2+iM\Gamma},\end{equation} where $\Gamma$ is the ...
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1answer
871 views

Resonance graphs

When an oscillating object undergoing SHM is damped the peaks of the curves becomes flatter and they shift towards the lower frequencies. I understand that the damping causes a loss in energy and this ...
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1answer
634 views

Why is an $RLC$ resonance curve asymmetric? [duplicate]

When I was measuring the current with varying frequency of an series RLC circuit, I noticed that the graph produced is asymmetric: Is there any reason for this? (inductance=8.29mH) The Q-factor is 2....
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167 views

Forced Vibrations [duplicate]

Forced Vibrations are the vibrations under the influence of an external periodic force. Their amplitude depends on the frequency of the external force. If it is equal to the natural frequency of the ...
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1answer
256 views

What do resonant frequencies of the Helmholtz equation correspond to in the wave equation?

Time-harmonic electromagnetic and acoustic waves are governed by the Helmholtz equation $$\Delta u + k^2 u = 0,$$ in the frequency domain. This is an eigenvalue problem for the Laplacian and the ...
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1answer
107 views

Nuclear Magnetic Resonance

Can you recommend a good book on NMR for beginners or something like that. I know QM and classical electrodynamics.
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2answers
3k views

How to measure resonant frequency of piezoelectric material

I just want to know the resonant frequency of piezoelectric material. We can determine by using the equation which is related to the dimension of the material. But i want to confirm it by applying AC ...
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162 views

Reverse MRI (MRI scalpel)

Are there any systems, which exploit any sort of "reverse" MRI technique? We can create magnetic field so that it has required value only in desired location (say, cancer tumor) and then pass ...