All Questions
146
questions
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What are the different types of resonances in forced oscillation systems?
I'm currently studying resonances in systems subjected to forced oscillations and have come across various terms and cases that I'd like to understand more clearly. Specifically, I am analyzing a ...
0
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0
answers
30
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What duration of a white noise burst is required for it to be "white" at a given frequency or frequency range?
I am running white noise bursts (with very short ramps on/off to prevent discontinuities) through underdamped resonant bandpasses which are tuned to any given $f_0$ and an underdamped $Q$.
Continuous ...
- 321
1
vote
1
answer
65
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Is natural frequency a local or global property?
Some objects have a natural frequency. This can be anything from a metal ball to a table, etc. When we hit such an object, it will start vibrating with a certain frequency $f$. Because of damping the ...
- 1,440
-1
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1
answer
119
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Should natural frequency be modeled using molecules?
Consider an object. This can be anything from a metal ball to a table, etc. Now this object has a natural frequency. When we hit the object, it will start vibrating with a certain frequency $f$. ...
- 1,440
1
vote
1
answer
55
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String vibration dimensions
We're all familiar with the typical diagrams of standing waves of a string, as in this image from Wikipedia:
The thing that bothers me is that they ignore the reality that the string is vibrating in ...
- 11
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1
answer
21
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How can one explain the small amplitude resonance before the onset of main resonance condition?
I was using a sonometer to verify the frequency of a.c. supply in the lab is 50 Hz. For this the equation I used is
f=(1/4L) x Sq. root (T/m)
I set tension T = 4.9 N by hanging 0.5kg mass
mass per ...
- 1,357
2
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0
answers
82
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Why do you feel ripples by sliding finger on an AC-powered macbook surface?
It doesn't have to be a MacBook exactly, other switched power supply powered metal case devices are good enough, but MacBook is the most common.
It must be AC powered; the effect disappears when ...
- 128
1
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2
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104
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Non-resonant source in a conducting cavity, what happens?
First of all I'm aware of this post but my question is a little different.
Say we have a perfectly conducting cavity with supported frequencies $\omega_n$ and a harmonically varying source within ...
- 1,780
1
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27
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Can someone please explain how is the setup stated below apparently causing amplitude resonance in spite of different frequencies?
Suppose I have a pendulum such that its natural frequency is $2 Hz$.
I release it from One extreme by striking it with a tuning fork of frequency $1 Hz$. Now in $0.5s$, the pendulum will undergo 1 ...
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answers
21
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Fourier Transform of Damped Oscillations - Zero Frequency Peak and Shift [duplicate]
A damped oscillator has the time evolution:
$$ y(t) = e^{-\Gamma t}\cos^2(\tilde{\omega}_0 t)$$
where $\Gamma$ is the damping rate, $\tilde{\omega}_0^2=\omega_0^2-\Gamma^2$ and $\omega_0$ is the ...
- 137
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2
answers
138
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What do we mean by 'resonance frequency' of a system?
Whenever we talk about oscillations, we generally take the term 'resonant frequency' for granted, but I don't understand what this frequency depends on.
For example, if we talk about a freely ...
- 87
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0
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341
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Multiple Pendulums and Resonance
Set up with multiple pendulums suspended from a connecting string. Pendulums 1 and 4 have the same lengths and hence, the same natural frequencies. Others(pendulums 2, 3 and 5) are of varying ...
- 35
1
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0
answers
23
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Can cyclotron/gyromagnetic resonance occur if the peak of an AC wave corresponds with the resonance frequency?
So basically I'm curious if it's possible for cyclotron resonance to occur with a non-static, AC magnetic field if the frequency of it is equal to the cyclotron resonance frequency at the peak AC ...
- 383
8
votes
2
answers
686
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What is the name for this type of curve?
I encountered this curve in the notes for a physics experiment:
It was described by the equation
$$
A = \frac{kA_0}{m\sqrt{\left(\omega_0^2 - \omega^2\right)^2+(2\gamma\omega)^2}}
$$
EDIT: I think it ...
- 329
3
votes
2
answers
836
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How is maximum amplitude of resonance achieved?
Lets take a simplest case of a narrowly tuned system and the outside force exactly at the natural frequency of it. The first pulse will go through, bounce back somewhat weaker and get reinforced by ...
- 185