# Questions tagged [oscillators]

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### Would a string vibrating in an atmosphere that is different from Earth's have a different overtone series?

The overtone series is defined as a set of characteristic harmonic oscillations of a vibrating string. It is a core concept of Western music theory. Are these characteristics a result of the string ...
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### Does electron have some intrinsic ~$10^{21}$ Hz oscillations (de Broglie's clock/Zitterbewegung)?

De Broglie has postulated in 1927 that with electron's mass there comes some inner oscillation: $E=mc^2=h f=\hbar \omega$. We would get such oscillation e.g. if using $E=mc^2$ energy in stationary ...
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### Frequency of vibration from potential field [closed]

I have an equation: $$V = 200x^2 + 150 ergs/gm$$ How can I get the frequency of its vibration? (I have the mass of object which is 4gm) I don't know where to start to solve this. Please help.
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### In mechanical systems, it is easier to understand concept of natural frequency, could somebody explain natural frequency in electronic elements?

In mechanical systems, natural frequency simply means the frequency at which the body will oscillate when it is disturbed(assuming the body will suffer zero resistance in motion) but wihle studying ...
728 views

### Potential energy of vertical spring

I have an oscillating vertical spring with a mass attached. If I set the resting position of the mass as $x=0$ as the spring oscillates, I will have a graph like this: If I want to get the potential ...
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### What factors affect opposite pole bouncing

I have two magnets with holes on a stick, and when the like poles are adjacent the upper magnet floats. When the upper magnet is held against the lower and then released the top magnet flies off and ...
190 views

### Deduce transfer function in a mechanical network

I am familiar with a 2 degree-of-freedom (2DOF) system like it is depicted here: Assume all parameters are unknown. Now, how do I find the values of the parameters in case of A) a spring and ...
327 views

### Simple pendulm motion for larger angular displacement? [duplicate]

What will be the nature of the motion of a simple pendulum for larger angular displacement? Will that be a periodic motion? If so, will the time period increase or decrease?
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### At what height will the tension of the string attached to a bob which was given an initial velocity from the bottom become zero?

Assuming a bob attached to a string is given a horizontal velocity u when it is at the bottom, what would be the height at which the tension of the bob would be zero (i.e the bob leaves the circular ...
546 views

### Why is potential energy positive in simple harmonic motion?

My textbook claims; "Potential energy is positive by choice of undermined constant in potential energy" $$PE=\frac{1}{2} A^2 \sin^2 (\omega t+\phi).$$ What does the statement mean? Which ...
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### While determining phase, is it okay to choose displacement as zero?

There was this sentence in my book on simple harmonic motion, under the section where they explained it in terms of uniform circular motion. The projection on X axis of a particle p as well as it's ...
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### Oscillation of mass $m$ on a spring when another mass $m$ is added to it at equilibrium

I have a spring of length $L$ when unstretched with one end fixed to the roof. At the lower end I place a mass $m$ and drop gently so it stretches by $x_1$ at equilibrium so that $mg=kx_1$. Now I ...
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### Considering moment of inertia - why do pendula $1$ and $2$ have the same resonant frequency? [closed]

This question was given to me during a lecture. The axis of rotation is into the page, such that the pendulua all swing to the left and the right (and I think it would be obvious to note we're ...
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### Determination of spring constant $k$ for an elastomer

Primary Question: How can you determine the spring constant $k$ of an elastic material? I was recently tasked with finding the spring constant for a series of elastomeric materials, the first of ...
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### Massless Electrons and Effect on Graphene Mass

I've read that electrons in graphene can travel masslessly, due to the effect of the graphene crystal around them. I'd also read that the application of an electric field can change this behavior and ...
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### Modeling physical pendulum as a simple pendulum system

Before you continue, please excuse my English. It is not my native language.How can I change the physical pendulum system into the simple pendulum system?Should I just design the length of thread or ...
2k views

### Is the displacement of a driving oscillator in phase with the driving force?

In a set up such as the following: I have read in many places that below resonance the driving force is in phase with the harmonic oscillator. I have also read that the driving oscillator is in phase ...
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### Simple Pendulum Why Generalized Coordinate Always Angle?

When writing the equations of motion for the simple pendulum, why do textbooks always choose $\theta$ to be the generalized coordinate? The force of gravity is in the y-direction so wouldn't it be ...
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### What is the oscillation frequency of a buoyant cylinder?

Suppose a cylinder sits upright in "dry water" (zero viscosity). The cylinder has half the density of the water, and we'll ignore the dynamics of the atmosphere. If I push the cylinder down some past ...
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### Significance of the word 'linear' in linear harmonic oscillator

In my book Advanced Acoustics there is a line- A particle undergoing SHM is called a linear harmonic oscillator If I say that the word linear is used for the 2 reasons- The motion of the particle ...
The only occurrence I see complex numbers used in dynamical systems is to analyse the eigenvalue $\lambda$ of the linearised approximation to determine the characteristics of equilibrium points. ...