All Questions
Tagged with terminology harmonic-oscillator
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What is the name of the transformation from one harmonic oscillator basis to another centered elsewhere?
If I have a harmonic oscillator basis centered at $x=2$, how do I rewrite it in terms of the harmonic oscillator basis centered at $x=0$? To be more specific:
If $|\Psi_n\rangle$ is the $n$th ...
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Can motion be oscillatory but not periodic?
The equation of motion of a particle is $x = A \, \mathrm{cos}\left[(\alpha t)^2\right]$. What type of motion is it?
The answer to this question in my textbook was: "Oscillatory but not periodic&...
- 159
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Why is this called a `Harmonic Oscillator Chain'?
Consider the following general setup:
Assume have a chain of atoms (of mass $m=1$) in one dimension interacting with their nearest neighbor through a interaction potential $U$, and which are in an ...
- 265
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Are Lissajous figures SHM(s)?
Are Lissajous figures SHM(s)? I have been studying perpendicular superposition of SHM(s). And i understand that 2 shm having same angular frequency and differed by phase pi/2 when superimposed ...
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Difference between Displacement from Equilibrum and Amplitude of SHM
I'm currently studying Simple Harmonic Motion. What is the difference between the amplitude of the simple harmonic motion, and its displacement from equilibrium?
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What are harmonic waves?
I am studying waves for my examination. Harmonic waves is also in my syllabus and I don't know what it is. I searched for it on google and got two possibly different answers. One answer is from en....
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What is "equilibrium position" in simple harmonic motion?
In simple harmonic motion (SHM) is equilibrium position equal to the extreme position (i.e. where the external force and restoring force are equal), or where all kinetic energy of the body is ...
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What is the difference between amplitude and phase angle for a pendulum?
I understand the definition in terms a plain trigonometric function, such as $A\cos(\omega t+\phi)$. The amplitude is half of the distance between peak and bottom, and the phase angle* is how the ...
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Oscillator what's the steady state?
I'm wondering what's the steady state for an oscillator.
Is it a system without driving force so without external force to disturb the system?
If a system oscillates without driving force can we say ...
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1
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Why is the center of 'percussion' called so?
I came across this word Center of Percussion while reading SHM from Resnick Halliday Krane Vol. 1 and couldn't figure out why it is called so. Please help me in doing so.
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More appropriate statement for the SHM
I know that the energy of SHM is given by
$$E=\frac 12 kA^2$$
So which of these is more appropriate to say?
Energy is increases because amplitude is increased.
Amplitude is increased because ...
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What are $a$ and $a^*$ called in the context of a classical harmonic oscillator?
Consider a harmonic oscillator defined by the coupled differential equations
\begin{align}
\begin{split}
\dot{X} &= \omega Y \\
\dot{Y} &= - \omega X \, .
\end{split} \tag{1}
\end{align}
...
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I can't understand one of deduction in Simple Harnomic Motion, can anyone help?
source:http://farside.ph.utexas.edu/teaching/336k/lectures/node18.html#e4.8
in order $x=0$ to be a stable equilibrium point we require both
$$f(0)=0$$
and
$$\frac {df(0)}{dx}<0$$
Now, our particle ...
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Meaning of "harmonic"
I'm trying to understand the meaning of the term "harmonic". IE, appearing in following sentence of Fluctuation-dissipation relations for stochastic gradient descent
The second relation (...
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Elongation of a simple pendulum
One of the questions on this weeks question sheet asks for the maximum elongation of a simple pendulum. The pendulum is set in motion on the moon with f = 0.5Hz. What is meant by the elongation of the ...
