Resonance is driving a vibrating system to oscillate with greater amplitude at a specific preferential ("resonant") frequency, at which the system absorbs vibrational energy most efficiently.

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Vibrational frequency of piezoelectric material

When a piezoelectric material experience a stress it generates voltage, and also when you applied voltage the piezo-material experience a vibrational frequency. Using oscilloscope we can determine the ...
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Are resonance and resonant frequency the same?

Resonance is when applied oscillation is in phase with natural oscillation. Then, what is resonant frequency?
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Does resonator will always dampen the driving oscillator?

I was doing a question about resonance of sound box connecting to a tuning fork. It asks why the sound lasts for a shorter time with sound box than if the tuning fork is struck identically without the ...
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Vibrations of a string [closed]

A string with length $L$ is stretched between two fixed points. The string can't vibrate with which wavelength? Four options are given, namely $L$, $L/2$ , $2L$ and $4L$. I know that the ...
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Mechanism behind “Hoot Tube” demonstration

For years I've been puzzled by how the "Hoot Tube" demonstration shown at the end of this video (around 2 min 45 sec) actually works. I've done the demo myself with a double walled stovepipe from the ...
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60 views

Finding resonant amplitude [closed]

For a system of oscillations described by the differential equation: $$ \cfrac{d^2x}{dt^2} -\epsilon \cfrac{dx}{dt} + x = \cos(\omega t)$$ We find that the response amplitude $R(\omega)$ to be: ...
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What is/are the resonant frequencies of a closed liquid cylndrical jar

My general question is how to calculate (via a formula) the resonant frequency of a cylindrical jar containing a liquid, assuming the speed of sound of that liquid is known and the solid material If ...
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75 views

Resonant Frequency of 2 mass spring system

So the question goes if I has a spring with spring constant $k$ and two masses attached to this spring (one on either side) what is the resonant frequency of the system in terms of $m$ and $k$? ...
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Mathieu equation nonstable solutions

This israther mathematical question, but it is connected with some physics. Let's have Mathieu equation: $$ \tag 1 y''(t)+ (a -2q\cos(2t))y(t) = 0 $$ Suppose domain of parameters $a, q$ values, where $...
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The derivation of how resonant frequency can amplify vibration in bridge

refer to here: One of the most famous examples of a resonance disaster is the 1940 Tacoma Narrows Bridge collapse in Washington, USA. This came about not simply as a result of mechanical ...
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How can I prove that antinodes are present at both open ends of organ pipe mathematically?

I know that for anti node to be formed the magnitude of displacement should be maximum at there. For standing waves in an organ pipe, the boundary conditions are such that anti nodes are formed at ...
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304 views

Why does the length of a wind instrument affect it's pitch?

I understand how length of a string on any string instrument affects it's pitch, but I don't understand how a short wind instrument produces a high pitch.
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What is Lamè mode?

I am trying to read some of the articles that says Lamè mode. But I can't find in google that describes Lamè mode. Can anyone quote good reference for this term?
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The effect of secondary orientation on resonant voltage

Imagine a circuit with an inductor coil (Coil 1), in series with a capacitor, connected to a function generator. Now, a secondary circuit, constructed with an other inductor coil (Coil 2), connected ...
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Why would oscillation of a gas column inhibit rather than promote mixing?

Many years ago I helped to support an experiment conducted in Japan which investigated the effects of high frequency oscillation ventilation (HFOV) on the mixing and distribution of gas into the lungs....
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31 views

Capacitor and inductive coil in AC circuit

Does increase in $L$ of inductive coil with variable no. of turns or $C$ of capacitor with changeable capacitance increase frequency of the circuit?
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How does cavity resonance produce EM waves? [closed]

My understanding is it acts like a capacitor and inductor in a loop. The capacitor releases stored energy which is absorbed by the inductor through a magnetic field which then returns it to the ...
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Excitation of air with the eigen-frequency

I was just wondering (as a layman) what the eigenfrequency of breathable air is? If it exists: what would be the effects of exciting air with its eigenfrequency (w/ regard to humans, matter nearby?)
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Lorentzian nature of reflected microwave power in Electron Spin Resonance

Reflected microwave power has Lorentzian shape when plotted against frequency in ESR. How to mathematically prove this?
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gradient strength units in MRI

This may not be the appropriate forum for this but seemed to be the closest. I am trying to understand some concepts around MRI physics and it is common to use external magnetic fields created using ...
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How is Mössbauer spectroscopy so resistant to thermal motion?

Mössbauer spectroscopy detects tiny shifts (on the order of $\mu$eV or meV) in a gamma ray's energy due to the chemical environment of the nucleus. The scan consists of moving a source of excited ...
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Why the common beam in Barton's pendulum?

N So the theory is that R vibrates with largest amplitude due to resonance. Because when measured from the common beam its length is the same as that of A, so A's vibration would pass to R the same ...
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Explanation of absorption from Bloch Equation

Suppose in a magnetic resonance experiment the microwave/rf field is applied in x-direction.How to say that the component of magnetization which is out of phase with the microwave magnetic field leads ...
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50 views

Amplitude of damped driven harmonic oscillator [closed]

I have a question that I can reason physically but mathematically I am not sure if my approach is correct. The amplitude of the oscillator is: $$A(\omega) = \frac{QF_{0}}{m}(\frac{1}{\omega_{0} \...
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Sound pitch of glass with water

I have a glass (made from glass) at room temperature. I poured very hot tea in it and started stirring. No extra tea is poured in the glass. When hitting the glass with the spoon, I noticed the ...
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Role of Cavity Resonators in continuous wavelength-electron paramagnetic resonance(CW-EPR)

Why is it necessary to place the sample in a cavity resonator for obtaining EPR spectrum in CW-EPR? What role does a cavity resonator play in a CW-EPR spectrometer?
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What Magnitude(db) and Phase(deg) represent on Bode Diagram?

What Magnitude(db) and Phase(deg) represent on Bode Diagram? I am working on 2 DOF System and I want to understand some basic things. Below (on the picture) you can see the system, the transfer ...
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Swing: why does the body position modify the amplitude?

When a person swings, why does the amplitude of oscillations increase if the person changes the body position ? That is, when descending and approaching the vertical position, if the person extend his ...
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If there are two different standing waves of different lengths in an open air column, what frequency would resonate?

Suppose I am playing a hypothetical woodwind instrument with both ends open. Somewhere along the length of the tube is a hole, which cannot be at or near the exact center of the tube for the sake of ...
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66 views

Cavity resonator modelling and simulation of em fields inside the cavity

I want to model a cylindrical cavity resonator and study the different modes of em fields inside it using MATLAB/COMSOL. Please refer me books/articles or other resources so that I can achieve my goal....
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How can I get the Resonant Frequencies (Bode plot)? (Response of 2-DOF System)

I want to study the response of the system. I want to find the resonant frequency of the sprung mass (m1) and the resonant frequency of the unsprung mass (m2). Because I am not sure if I have ...
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35 views

LCR circuit at resonance

I am studying about the LCR circuit and have a question regarding potential difference across inductor and capacitor. From the thing I have studied I came to know about that potential across inductor ...
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71 views

Why doesn't a transmission line mess up an antenna resonance?

I don't understand why the resonance of an antenna is not affected by the transmission line to the receiver. For example, given a dipole antenna like the following: The antenna length is carefully ...
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If a ferromagnet has a zero resonance frequency does this mean the magnetic order is unstable?

If a ferromagnet has a zero resonance frequency does this mean the magnetic order is unstable? I'm struggling to see how resonance frequency value affects the magnetic ordering
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What is the physical interpretation of imaginary terms in the neutron optical potential model?

I'm doing a computational project on neutron scattering and I've found that if you simulate (n,n) collisions on Uranium 238, the program predicts resonances not found in experimental data. The ...
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Complex resonant frequency not resonant without imaginary part. So can I still just take real part as solution?

I am working with a matrix on a harmonic oscillator problem and the lowest (absolute) frequency $\omega_0$ where the matrix becomes singular is the resonant frequency. Now I obtained this frequency ...
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Resonant frequency(s) of system of resonant objects?

I am trying to gain a better understanding of resonance when we are dealing with a coupled system of resonating objects. For example, say we have a single gas bubble in liquid and suppose it ...
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Why are optical parametric oscillator so big?

Optical parametric oscillators have an optical resonant cavity. Why is this cavity so big when the wavelength of light is so small? What will happen if optical cavity length is shortened?
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What would the “physics” of this theoretical instrument be?

Note: I've asked questions about acoustics before in the Music Stack Exchange, but I was told it would be a better fit here. I've invented a theoretical instrument in which you have a tube that you ...
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Can a system be engineered to cause a standing wave resonance with gravity waves? [closed]

Thank you Docscience for helping me adjust my question in a better direction. My interest has been sparked by getting Into the chapter of waves in physics class and of course the new discovery of ...
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Why do the tones differ when tapping on a different part of a coffee cup?

Let's say we have a coffee cup as shown below. The cup is, in contrast to what's shown on the image, empty (I had some trouble finding free good-quality top-view coffee cup images). When we tap on $...
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243 views

Resonant Scattering and the Breit-Wigner Formula

Most of what I ask relates to the derivation found here: https://farside.ph.utexas.edu/teaching/qm/lectures/node91.html The basic idea is that we first consider zero energy s wave scattering from a ...
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Quality factor of an LCR circuit

The quality factor of an LCR circuit is defined as: $$\omega°/2\delta\omega$$ $\omega°$ stands for the resonant frequency, and $\delta\omega$ for the range of frequencies between half power point and ...
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Speed of Sound using Resonance

The aim of my experiment was to determine the speed of sound using the theory behind resonance; that, when a vertical pipe open at both ends is partially submerged in water, and a tuning fork ...
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30 views

Natural Frequencies determination using F.E.M analysis - Damping ratio

Good day. Assume a 3d underwater tether problem, which is modelled using FEM analysis. Global equation, after assembling terms associated with corresponding elements to a single entity, should look ...
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Efficiency of resonant inductive coupling as a function of distance

What is the relationship between the efficiency of energy transfer between resonant inductive coupling between two coils, and the distance between the coils?
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How is energy conserved in resonance?

According to Wikipedia, [...] resonance is a phenomenon that occurs when a vibrating system or external force drives another system to oscillate with greater amplitude at a specific preferential ...
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41 views

Physics of waves under an ice road

As wikipedia writes, While easier to drive across in the winter than land, roads over water present a great danger to anyone using them. Speeds are typically limited to 25 km/h (16 mph) to ...
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How much energy would it take to take down a 747 using vibrations? [closed]

Background Information: All materials have a resonant frequency, which is the frequency at which they are most easily excited (vibrated). That's how glass is shattered using high-pitched sounds. ...
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Why does concentrated parahydrogen in hydrogenation reaction exhibit hyperpolarized signals in proton NMR spectra?

In wikipedia it says "When an excess of parahydrogen is used during hydrogenation reactions (instead of the normal mixture of orthohydrogen to parahydrogen of 3:1), the resultant product exhibits ...