# Questions tagged [oscillators]

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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 ...
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### 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 ...
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### Is there a relation between phase plane and complex plane?

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. ...
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### Time period of a rigid rod pendulum has same value at two different point of suspension, why?

While solving the problem of the rigid rod pendulum I figured out that when the point of suspension is at the end of the rod and and at $x = \frac{l}{3}$ from same end, time period of oscillation has ...
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### Oscillating waves on a water stream

I observed something which I've never seen before. We left the tap open and the water stream was flowing in a particular pattern. When we placed a beaker under the water stream, the pattern ...
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### What are practical uses of over-damping? [closed]

We have been given this task of preparing some small research on critical damping and comparing its behaviour and uses with over-damping. I am done with everything else but have been unable to find ...
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### How well does this solution model damping? [closed]

I was wondering if someone could please tell me why this below solution models damping well? In particular its amplitude and frequency of the damped oscillation. $$y=e^{-λt/2m}[A\cos(Λt)+B\sin(Λt)],$$...
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### Does it make sense to talk about a frequency when we deal with damped oscillations?

I'm solving a problem in which there is a damping force in the form $F = -bv$. The question asks for the "frequency of oscillation", but since it is a damped oscillation I am confused, because I think ...