All Questions
Tagged with harmonic-oscillator harmonics
17
questions
0
votes
2
answers
44
views
Why am I getting this derivation of time period of pendulum in an accelerated frame wrong? [closed]
We are working in the frame of the cart and we are trying to obtain the $\tau=k\theta$ form.
So, let's write the $\tau=I_{axis}\alpha$ first for a small deviation $\theta$ from the vartical.
(The ...
0
votes
1
answer
52
views
How is a resonant bandpass filter similar/different from a damped mass-spring oscillator? They seem to behave both similar and different in testing
Background
I am using resonant bandpass filters as musical oscillators. One can excite an array of them at harmonic frequencies and given Q values for a note by, for example, running a burst of noise ...
2
votes
2
answers
1k
views
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....
1
vote
1
answer
37
views
Length of a water column executing SHM in a U-shaped Tube
I was watching the lecture 30 of Walter Lewin ( 8.01 ). Here is a link:
https://youtu.be/hAYeA3Wwb4U
At 29:30, when he was describing the SHM of water in a U shaped tube. Lewin says that for the ...
0
votes
1
answer
138
views
How to draw relation between Time Period and Amplitude of SHM?
Can we draw a relation between Time period and amplitude an object doing SHM? I came up with something but I’m not sure if it’s correct.
$TA = k$, where k is a constant
I came up with this just by ...
1
vote
2
answers
1k
views
What is the difference between $\omega$ and $\Omega$ in the equation $\Omega = \theta_o\omega\cos(\omega t +\delta)$?
The standard equation for any object moving in a linear simple harmonic motion (SHM) is
$$x=A\sin(\omega t +\delta)$$
where $A$ is the amplitude, $\omega$ is the angular velocity.
Likewise, converting ...
0
votes
2
answers
1k
views
Creating sympathetic resonance in a guitar string with an electromagnet
I have an idea for a potential new type of reverb and I wanted to know if it was possible/practical.
The idea is to have an electromagnet in the middle of a guitar string(s) which will hopefully ...
-1
votes
1
answer
45
views
Finding the moments in which a mass moves through the equilibrium position [closed]
I am having trouble understanding what one has to do when they are asked all the positions in which a mass is in a certain position:
The movement equation is $x = 3 \sin(600t + \pi/4)$.
Then I am ...
2
votes
1
answer
4k
views
Why is the damping force acting on an oscillating system opposite in direction to velocity and not acceleration?
So far I know that the damping force is a frictional force that opposes motion and so it acts in the opposite direction to velocity . Bit why can't the same be said for acceleration doesn't the ...
1
vote
1
answer
32
views
What does it mean for a particle to be subjected to 'more than one' simple harmonic motion? [closed]
Also what can we say now about its
--> Resulting Energy?
-> Resulting Amplitude?
-> Maximum Velocity?
Please help as I am not able to understand the process going on.
I also tried to represent this ...
1
vote
3
answers
4k
views
Fluid filled harmonic oscillator
A vessel (preferably circular) filled with water is accelerating unidirectionally such that the level of water is higher on one end than the other. What I want to know is that if the vessel is ...
5
votes
4
answers
2k
views
Simple harmonic motion versus oscillations
I want to see whether certain oscillations in my daily life, such as the oscillation of violin strings when plucked, are simple harmonic motion or not. Can we identify whether an oscillation is simple ...
6
votes
2
answers
1k
views
Is the usually taught solution to forced harmonic motion just a special solution?
Let's say we have a mass on a spring being driven by a forcing function. Given hook's law, $F = -kx$, and a forcing function of $$F(t) = F_0\sin(\omega t) .$$ We can write:
$$
m\frac{d^2x}{dt^2} =
-...
2
votes
1
answer
317
views
What is the relationship between harmonic motion and the harmonics of a wave?
I learned about harmonic motion and harmonic oscillators a long time ago in physics, but I can't remember what the relationship between that and and the definition of harmonic in a wave.
A harmonic ...
9
votes
4
answers
31k
views
Using $\sin()$ or $\cos()$ for computing SHM?
In simple harmonic motion, you can use either the sin or cos form of the equation but my question is which one do you use when and why?
I am having a tough time understanding this, so any help would ...