# Questions tagged [vibrations]

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### Why do wet papers create no sound at all?

When we tear a dry paper, it produces a clear audible sound but when the same experiment is tried with a wet paper, we hardly hear any sound. So can someone explain me what is happening here at the ...
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### What is modal analysis?

I know what modal analysis is, and I know how to conduct one. I can get the eigenvalues and vectors (modes). Not a problem. However, I am lost at trying to understand the philosophy of what it is. By ...
38 views

### Finding the Full width half maximum of a function

I am a bit confused as to how we calculate Full-Width-Half-maxiumums (FWHM) of a function. Consider a function as $$f(x) = {\frac{\sin(ax/2)^2}{(ax/2)^2}} \cos(bx/2)^2$$ where b>>a. It looks ...
42 views

### Can a particle transcribing motion described as $y=(\sin x)^2$ be called to be in vibration? [closed]

I know that $\sin x$ or $\cos x$ curves can be said to be "in vibration," but what about $(\sin x)^2$?
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### How to analytically derive the equation of the amplitude of the force being transmitted to the ground of a damped, forced vibration system

For this question, I really have tried to produce some working but the entire thing is just deeply confusing me. I know my equations for the displacement of this mass will be as follows: I have ...
44 views

### Is pulling and pushing the same?

In the following image, you are asked to create an equation that represents the position of the moving part as the magnet pulls the metal object. If the force acting on the system is constant and the ...
40 views

### Harmonal density Probability changes?

I have been thinking about strings vibrating. we usually see a purely elastic string in modes of vibration as states of modes. I was thinking, what if we changed the length of the string dL such that ...
36 views

### Frequency of spring and pulley system [closed]

I need some help with this problem. I have to find the natural frequency of this system, the problem says that the cylinder has a mass of $m$, spring constant is $k$ and the string to the right is ...
53 views

### Materials that behave as “metals” for sound waves?

Probably the most well known property of metals are that they are shiny. Ultimately arising from the high density of conduction electrons capable of carrying current, this shinyness is means that ...
14 views

### Why the frequency of sound can vibrate the object if the frequency of both is the same (resonance)?

I mean what actually happens so that sound can vibrate an object? If both frequencies are subjected to constructive interference then resonance, why doesn't the sound only increase in amplitude rather ...
42 views

### Motion of molecules is random or uniform vibration with a frequency?

Every substance has an entropy, entropy is defined as the randomness in a system. There's also a term called molecular vibration which tells the periodic vibration of molecules and gives them a ...
68 views

### Why is the vibrational kinetic energy of a body ignored when calculating the total kinetic energy?

In calculating the total kinetic energy of a macroscopic rigid body, we add the total translational kinetic energy and the total rotational kinetic energy of the constituent particles. Why is the ...
124 views

### Defying gravity with vertical shaking? [closed]

I saw this video on levitating a denser liquid on less dense air by vertical shaking. But I couldn't understand some points in the video. Particularly: How did the liquid levitate? I think it's ...
40 views

### Intuition behind forced oscillations

in every book I own and on the internet, any information on forced oscillations is a version of the following definition, followed by the solution to a differential equation. Forced oscillations: ...
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### Heating water manually

Is it possible to heat a small amount of water, may be a cup of it, only by human force, using a small scale version of a device like Joule used to prove the heat mechanical equivalence, just by inner ...
37 views

Exploring the benefits of deadblow hammer physics in sports. I play badminton, and have developed elbow pain that is aggravated whenever I smash (overhead forehand, like a tennis serve). This is ...
27 views

### How does time translational invariance and linearity imply exponential solutions?

I'm currently studying "Waves and Oscillation". While going through the book The Physics of waves, from page 11-12. The author has mentioned that the differential equation being linear ...
36 views

### Resonance and standing waves on a bar [closed]

I'm having trouble solving this problem: By applying a harmonic force, acting on the end of a free bar of length $L$, a standing wave is formed due to multiple reflections: Where are the nodes of ...
59 views

### Derive shape of sound wave from vibrating string simulation

I have a physical simulation of a vibrating string (made with matter.js). From this, how can I derive the sound wave / air pressure over time, that would result from such a string? I had considered ...
8 views

### How to calculate strouhal number/vortex shedding frequency of the airfoil using mathematical approach?

As a part of my thesis, I am trying to find when the airfoil starts to flutter by changing pitch angles. I've computed the results in ANSYS Fluent. But now I've to calculate the same using a ...
188 views

### Deriving a model of a point-driven Chladni plate

Please note — this question considers a point-driven Chladni plate, not Chladni's classical experiment. I'm aware of various other questions concerning the latter here on Physics.SE. As the title ...
51 views

### Because of the spacetime foam, we can't calculate a complete string, we can only calculate parts or ends, right? [closed]

What is the relationship between the vibration of the string and the uncertainty of space-time.Not seeing the string, but when doing calculations, some parts of the string are affected by spacetime ...
39 views

### How do you determine energy transferred to a trampoline when a ball is dropped on it? [closed]

Suppose a ball of mass $m$ is dropped over a trampoline(consider the young's modulus of the material to be $Y$) from some height $h$. The ball impacts the trampoline, gets slowed down due to the ...
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### How does the resonant frequency of a glass slab depend on its thickness

I am interested in finding out how does the thickness of a glass slab change the resonant frequency of it. Since i know that resonant frequency not only depends on the material but also on the ...
18 views

### Solving single degree of freedom vibration system with opposing springs and dampers

I'm re-posting this as I put in the Maths Stack first but it might be better placed here. As part of some analysis of data from a test rig at work, I thought I would have a go at solving the ...
44 views

### How does sound imparts vibrations to molecules in solids

How does sound imparts vibrations to molecules in solids which are tightly bounded. I understand the molecular bounding is very strong that is why it is solid and tough. So how does mere a tap on a ...
102 views

### When a tuning fork is struck, how does the struck tine induce vibrations in the secondary tine?

Background I'm currently writing a book on music theory and I'd like to include some background information on the physics of sound waves. My example of choice is to explain compression and ...
34 views

### Kinetic energy distribution by mass in mass-spring harmonic oscillator system

Basically I want to find a minimum working example of a non dissipative system that is able to concentrate kinetic energy on some subparts of the system. My first guess was to use the coupled ...
44 views

### Cause molecular vibration without adding heat into the substance containing the molecules?

I know when a substance is heated the molecules in the substance begins to vibrate in random motion. What I want to know is, is it possible to vibrate the molecules without adding heat to the ...
I'm trying to simulate the fluorescent spectrum for the first time and run into several problems. The dipole matrix element for a transition between 2 different electronic states is as follow: \...