All Questions
Tagged with frequencyharmonic-oscillator
79 questions
0votes
1answer
25views
Singing glass frequency - why is it audible?
I'm thinking about the typical singing glass demonstration, where you rub a finger around the edge of a wine glass and can hear a loud sound at the natural frequency of the glass. The fact that it is ...
- 115
0votes
0answers
45views
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 ...
1vote
3answers
450views
Damped Quantum Harmonic Oscillator with sinusoidal driving force
The standard Damped one-dimensional Harmonic Oscillator with sinusoidal driving force has equation $$\frac{d^2}{dt^2}x(t)+2\zeta\omega_0\frac{d}{dt}x(t)+\omega_0^2x(t)=\frac{1}{m}F_0\sin(\omega t).$$ ...
- 1,609
0votes
1answer
47views
Number of times the displacement of an object executing a simple harmonic motion becomes zero
I was solving some SHM problems when i came across this particular question. It asked, what is the frequency of SHM of an object whose displacement becomes zero 200 times in one second. The answer is ...
- 31
0votes
2answers
169views
Does rhythm create pitch?
As in, matter (a physical object) that is vibrating = a pitch And secondly If we calculate bpm with a “tick” which is just indefinite pitched percussion, how does an indefinite pitched beat compare to ...
- 109
2votes
3answers
2kviews
What does $\omega$ mean in SHM?
In SHM, $a=- x\omega^2$ and $max(a) = ±A\omega^2$, but what does $\omega$ mean, because i cannot see anything related to circular motion in SHM like to and from motion of a particle on $y$ axis about ...
0votes
2answers
181views
Frequency of harmonic oscillator potential
Consider, a particle is moving in a harmonic oscillator potential : $V=\frac{1}{2}m\omega^2x^2$. The force on the particle will be : $F=-m\omega^2x$. What is the unit of $\omega$ here ? Is it $Hz$ or $...
- 243
1vote
0answers
102views
Frequency dependent spring
Consider a harmonic oscillator without damping: $$m x''+ F_s=0,$$ where $F_s$ is the force induced by the spring (usually $F_s=kx$). Now, consider that the spring's response for a harmonic excitation, ...
2votes
2answers
146views
Simple Harmonic Motion: Relation between angular motion and linear to and from motion
What is angular frequency in simple Harmonic Motion? If simple harmonic motion is a linear to and fro motion then whose angular frequency are we talking about? A linearly moving body cannot have an ...
2votes
1answer
3kviews
Why damping affect natural frequency of simple harmonic motion? [duplicate]
I am curious about that since damping will not affect frequency of SHM, then why it does affect on the natural frequency of the SHM. In the resonance damping graph the peak amplitude become lower but ...
0votes
1answer
177views
Frequency of vibration of a spring
Hi, actually I'm confused about the velocity formula (In blue boundary) why the velocity of that small element taken in that way.
- 71
0votes
0answers
113views
At resonance, there is infinite oscillation (new)
As per a previous question: Transient behavour For a driven harmonic oscillator: I was trying to show an exponential increase in amplitude using the transient solution, however I still got the sake ...
- 6,946
2votes
0answers
71views
Why doesn't angular frequency change in damped simple harmonic motion?
I recently carried out an experiment varying different factors affecting simple harmonic motion, namely friction and air resistance. Whilst carrying out research for this, I found the relationship ...
1vote
4answers
6kviews
Why is Angular Frequency $ω=2π/T$?
I've seen in many books, internet and video lectures, that equation of SHM: $$x(t)=A\cos(\omega t+\phi)$$ where they just say that (without telling anything about $\omega$): $$\omega=\frac{2\pi}{T}$$ ...
- 55
0votes
0answers
30views
How does a motor produce two different sounds when rotating at two different speeds?
How are two different rotational speeds from the same motor associated with two different sound frequencies produced, i.e., the higher the speed the higher the frequency? Why? All parts of the same ...
