Questions tagged [oscillators]

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0
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1answer
239 views

Varying amplitude of beats

Why is the product of 2X and cosine delta t divided by 2 is the varying amplitude and not the other 2X and cosine function?
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1answer
243 views

Euler-Bernoulli equation for a cantilever strained by a force

I'm trying to model an experiment where a cantilever, fixed at one end, is oscillating under an applied force at the free end. Specifically, I'm focusing a laser on a rectangular cantilever and ...
-2
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1answer
277 views

Will the amplitude of a undamped forced oscillator keep increasing till infinity?

It seems like a straightforward answer but I still need confirmation. Can someone mention diagrams as well? Because I saw that there are three possibilities depending on initial and vibrating ...
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1answer
125 views

What branch of physics covers most of these questions?

I am close to finish the book Vibration and Wave by French, and I would like to know which branches of physics can answer these groups of questions: Defining questions: Can a periodic event be ...
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1answer
1k views

How to plot forcing ocillation with damping correctly? [closed]

The forced oscillation with damping is described as $$\frac{d^2x}{dt^2}+\gamma\frac{dx}{dt}+\omega_0^2x=\frac{F_0}{m}\cos{\omega t}$$ Its solution is $x=A\cos{(\omega t-\delta)}$, with $$A(\omega)=...
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1answer
670 views

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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0answers
108 views

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 ...
1
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1answer
2k views

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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2answers
95 views

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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4answers
111 views

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 ...
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1answer
128 views

Meaning of complex oscillation equation

I have the problem of a dampened harmonic oscillation (more concrete a "Pohl wheel" (here is an illustration of it)) whose motion is given by the following differential equation $$J\frac{d^2 \alpha}{d ...
1
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1answer
60 views

Removing Free Oscillations

A forced oscillator can be described by the equation $\ddot{x} + \omega^2x = F(t)$. The solution of this equation will have a free and forced solution, with the free solution being just $x(t) = Ae^{i\...
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1answer
352 views

Synchronized oscillations

Please I'm a little confused about this. When are oscillations said to be synchronized? Is it because they vibrate at the same frequency or because they are in phase? Got a question with both options.
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2answers
92 views

Driven oscillator solution intuition

For the sinusoidally driven oscillator given by: $$m\ddot{x} + b \dot{x} + kx = F_0 \cos(\omega t)$$ or $$\ddot{x} + 2\beta \dot{x} + \omega_0^2x = A \cos(\omega t)$$ The particular solution is: $...
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1answer
800 views

Taylor expansion of potential energy

According to the book "Applied quantum Mechanics, Anthony Levi", The Hamiltonian of a monatomic linear chain is given by: The first term on the right side comes from the sum of the kinetic energy of ...
1
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1answer
35 views

Identification of a certain type of standing wave

the rough paint drawing attached is meant to show a sort of standing wave, where there is a 1,2,1,2,1,2,1,2 pattern: same wavelength but every other cycle is double amplitude. Is there a name for ...
1
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1answer
198 views

The damping of an oscillating electric dipole

I've read a lecture notes of solid state physics, specifically the subject of polarisation. A pair of electrons in a covalent bond in a dielectric material oscillates back and forth in the presence of ...
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2answers
107 views

Does a working pocket watch have more matter than a broken pocket watch?

Say I have two exactly identical pocket watches. Say one pocket watch works and the other does not (the broken one does not work because a gear broke). Does the working pocket watch have more mass ...
2
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0answers
426 views

What is the difference between “normal mode” and just “mode”?

So in the oscillation problems, is there difference between "mode" and "normal mode"? I know that "normal modes" are independent and orthogonal, so one doesn't affect the other. Now I am not sure when ...
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1answer
191 views

Relation between the initial stretch of a vertical spring due to weight and additional stretch

Consider a vertical spring on which we hang a mass m. It will stretch a distance Δx because of the weight of the mass. Suppose, at this position the mass is at equilibrium (mg=kΔx). Now if I pull the ...
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1answer
312 views

Triangle swinging around a pivot

im studying oscilatory motion, and i have a problem that asks me for the angular frequency of a group of sticks,each stick has mass M and length L, that form an equilateral triangle swinging around a ...
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0answers
210 views

Equations of motion for a torqued spherical pendulum

I Want to simulate a spherical pendulum with a torquer on it, i.e. the angles of the pendulum change not only due to torque generated by gravity, but also by a torquer attached to the top of the ...
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1answer
432 views

How to estimate the frequency of the sample rate?

I'm studying for my class of physics laboratory and I need help with something: Let's say I need to deduce the constant of elasticity of a spring and I will do it using a dual-range force sensor, ...
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1answer
767 views

Q factor question

I'm reading about the Q-factor from Wikipedia and here: http://hyperphysics.phy-astr.gsu.edu/hbase/electric/serres.html The Q-factor is defined as the resonant frequency divided by the bandwidth (...
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2answers
782 views

Average frequency vs average period

Suppose I have two oscillators with frequencies $f_1$ and $f_2$ and periods $T_1=\frac{1}{f_1}$ and $T_2=\frac{1}{f_2}$, respectively. The average frequency is thus $f=\frac{f_1+f_2}{2}$ and average ...
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2answers
585 views

Meaning of “phase delay” in forced oscillations [duplicate]

I'm currently reading about forced oscillations, and in the book (A course in Classical Physics by Alessandro Bettini) I'm using, they start with the equation $$\frac{d^2x}{dt^2} + \gamma\frac{dx}{dt}...
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0answers
50 views

Anti-theft through high frequency oscillating curcuits

As far as I know the anti-theft chips used in malls (see here) are basically high frequency (8.2 MHz) oscillating curcuits that resonate when stimulated by an external field (the two pillars at the ...
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2answers
290 views

Can there exist harmonic oscillator with asymmetric coupling?

In Classical Mechanics textbooks usually, for a coupled harmonic oscillator with two masses, coupling is taken to be same in both directions (i.e coupling constant w.r.t to m1 is same as that with ...
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1answer
85 views

Coefficient of coupling in coupled oscillators

My question is how and on which things this quantity p,the extent of coupling depends? Why the force exerted by one on other is proportional to its acceleration?
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2answers
7k views

Phase constant in simple harmonic motion

We just began a new topic on oscillation and simple harmonic motion. I'm having quite a hard time grasping what the purpose of the phase constant that appears in the argument of the cosine function. ...
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0answers
129 views

Classical model for neutrino oscillations

Does there exist any classical analogue or model for neutrino oscillations in two as well as three flavor scenarios? I just went through the Wikipedia page https://en.wikipedia.org/wiki/...
0
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1answer
214 views

Forces acting on an aircraft during landing

I am currently busy with a project which involves the design of a landing skid for an unmanned aerial vehicle. I am currently underway with calculating the forces which will act in on the landing skid ...
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2answers
93 views

Angular Frequency interpretation?

I just began a topic on waves and oscillations and came across a term angular frequency ($\omega$) which was stated as $2\pi f$. However, I have seen the same symbol $\omega$, used for angular ...
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5answers
8k views

How to find the frequency of small oscillation of a particle in a given potential? [closed]

A particle of mass $m$ is in a potential $$V(x)=-\frac12ax^2+\frac14bx^4$$ where $a$ and $b$ are positive constants. The equilibrium points occur when the potential $V$ is either minimum or maximum, i....
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1answer
167 views

Can we let the lowest of n by equal (lenght and k) springs connected masses in equilibrium move in a siusoid way after giving the lowest a pull?

Imagine we hang n masses, connected by equal springs of equal length and with equal k (suspended on a very high ceiling or whatever what, as long as it doesn't exchange energy with the system). So ...
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1answer
199 views

Phase Locking vs. Synchrony

Consider two cosinusoidal signals given by \begin{gather*} z_1(t) = A_1\cos\phi_1(t)\\ z_2(t) = A_2\cos\phi_2(t) \end{gather*} with \begin{gather*} \phi_1(t) = (\omega_1 t + \theta_1)\\\phi_2(t) = (...
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2answers
778 views

How to find the period of small oscillations about this circular motion?

This is the question from Goldstein's Classical Mechanics, 2nd edition. Chapter 3 problem 1. A particle of mass $m$ is constrained to move under gravity without friction on the inside of a ...
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2answers
135 views

What is the meaning of “kay effective” $k_{\rm eff}$ in SHM?

I am really confused studying for my Physics lectures on oscillations, namely Simple Harmonic Motion. You see, my Professor introduced the topic: when he solved some examples, I noticed that when ...
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1answer
495 views

Horizontally driven inverted pendulum

I have came across this situation, where a cart of mass $M$ moves along the (horizontal) $x$ axis and a second mass m is suspended at the end of a rigid, massless rod of length $L$ (the rod is ...
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1answer
50 views

Would the flag “wobble”?

If we take an imaginary situation where a flag made up of any material is held straight, parallel to a flowing current of ideal fluid, and leave it as soon as the current crosses it? Actually, when ...
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1answer
763 views

Condition for resonance

In my physics courses, we are now primarily treating oscillations in exponential form. When we dealt with oscillating circuits, the lecturer said that resonance was reached when the imaginary part of ...
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1answer
62 views

Can someone give me a reality check on this video? [closed]

https://www.facebook.com/DabungPakistan/videos/497292570459987/ This is a video in which a person keeps increasing his swing distance on a large swing (pendulum motion/simple harmonic motion) until ...
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3answers
226 views

Sound due to guitar [closed]

My teacher told me that quality of sound depends on shape and size of guitar and its resonator. How does quality depend on that?
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2answers
5k views

Difference between harmonic motion and simple harmonic motion?

The name simple harmonic motion suggests that its the simple version of "harmonic motion". Does harmonic motion exist and if so is there a difference between these 2 terms?
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1answer
499 views

Interpretation of Rabi frequency and generalised Rabi frequency

In quantum mechanics, what is the difference, in a two level system, of the processes described by the Rabi frequency defined as $$\Omega := \frac{\langle 1| e \vec{r} \cdot \vec{E_0}| 2 \rangle}{\...
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1answer
63 views

Resonance, intutive explanation [duplicate]

In the case of forced, undamped oscillations, why is the amplitiude of the steady state oscillations bigger, when the frequency of the driving force gets closer to the natuaral frequency of the ...
2
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2answers
119 views

Can a periodic motion whose displacement is given by $ x=\sin^2(\omega t)$, be considered as a SHM?

The definition of Simple Harmonic Motion is : simple harmonic motion is a type of periodic motion or oscillation motion where the restoring force is directly proportional to the displacement and ...
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1answer
4k views

How does damping coefficient vary with mass? [closed]

Im going to be experimenting and I want top know what result I should get. This is basically what my graph is going to look like and it should help you get an idea of the experiment. $$x(t)= x_0 e^{...
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2answers
159 views

How do I write the Lagrangian for a system with 2 different locations of oscillation?

I have a system where there is a particle placed in each of the minima of the potential $$U(x)=\beta(x^2-\alpha^2)^2.$$ The particles are also connected by a massless spring where the equilibrium ...
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2answers
873 views

Approximations for a spring pendulum's equations of motion in 2D

I'm working on Exercise 24 in Classical Mechanics, 3rd ed by Goldstein, Poole, and Safko. It concerns the spring pendulum and approximations to its equations of motion. I'm trained more in pure ...