Questions tagged [oscillators]

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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 ...
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1answer
184 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
101 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 ...
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0answers
405 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
176 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
289 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
190 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
410 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
715 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
740 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
520 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
48 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
279 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
80 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
6k 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
128 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/...
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1answer
208 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
90 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
185 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
718 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
123 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
447 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
49 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
693 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
60 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
213 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
474 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
116 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
144 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
779 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 ...
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0answers
350 views

Differential equation for an accelerometer

I am having troubles deriving the 2nd order differential equation for the system below, where $r=y-s$. According to my lecture notes the differential equation is $$ M\frac{d^2r}{dt^2}+b\frac{dr}{dt}+...
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1answer
55 views

Constrained oscillator on an $n$-sphere

I have a particle in $n + 1$ dimensional space, whose components satisfy the equations $$\ddot{x}_i+\omega^2_ix_i =0. $$ and I want to calculate the constraining force $F(\vec{x})$ that holds the ...
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1answer
1k views

Why is it that period remains constant for an oscillation(SHM) experiencing light damping?

It was stated during a physics lecture that a simple harmonic oscillation undergoing light damping would have a period that is slightly greater than it would be without damping but the new period ...
1
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1answer
607 views

Green's function for a driven, damped oscillator

There's an example given in chapter 4 (Differential Equations) of Mathematical Tools for Physics by James Nearing: $$m\ddot{x}+kx=F_{ext}(t) \, .$$ Obviously this is a undamped driven oscillator. ...
39
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3answers
4k views

Why does my ID card oscillate sideways when walking?

When I was going to my school with my ID card hanging around my neck, it started doing oscillations like a pendulum. I was moving forward and it was oscillating left to right and right to left. What ...
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2answers
749 views

What is the difference between damping and elasticity forces?

From DYNAMICS OF STRUCTURES, Third edition, by Ray W. Clough and Joseph Penzien Damping has much less importance in controlling the maximum response of a structure to impulsive loads than for ...
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1answer
946 views

Dependence of amplitude of standing wave on the amplitude of driving force

Must the amplitude of a driving force increase so as to match the increase in the amplitude of the standing wave it generates? If not, how can standing waves of increasing amplitude form if the ...
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2answers
191 views

Does fluid motion follow some periodic function?

I have heard of oscillations (i.e. simple harmonic motions) where a particle repeats its motion after a period of time, due to the restoring force acting opposite to the displacement and proportional ...
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0answers
404 views

Phase plane of simple pendulum

I'm trying to create a phase plane of simple pendulum motion by plotting $\dot\theta$ against $\theta$ in Matlab. I have the equation $\ddot\theta + \sin\theta = 0$, then by integrating I come to the ...
26
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3answers
5k views

Why does a simple pendulum or a spring-mass system show simple harmonic motion only for small amplitudes?

I've been taught that in a simple pendulum, for small $x$, $\sin x \approx x$. We then derive the formula for the time period of the pendulum. But I still don't understand the Physics behind it. Also, ...
3
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0answers
380 views

Standing waves in a phone pole [closed]

Consider a telephone pole having standing waves generated in its length by prevailing winds. If the length of the pole above the ground is 25m and the speed of sound through the pole is 75m/s what is ...
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0answers
36 views

Most general form of motion where period is amplitude independent [duplicate]

Is there another type of motion other than SHM that has this property? How would one systematically find the general form of the motion that respects this constraint?
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1answer
58 views

Predicting the behaviour of a spring-mass system under the influence of regular periodic impulses

Here is the question: I have a mass 'm' connected by a spring to a wall. The setup is horizontal. The time period of the mass is 'T0' determined by the spring constant 'k'. The mass obeys a position ...
3
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1answer
358 views

Lagrangian for an oscillator with position-dependent damping

I wonder if the equation of motion of an oscillator with (position-dependent) damping \begin{equation*} \ddot{x}+\gamma(x)\dot{x}+\omega_{0}^{2}x=0 \end{equation*} can be derived directly from ...
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0answers
149 views

Oscillation of charged particle inside charged torus [closed]

At our university we were given this problem: charged ball with mass of $m = 0.0001 kg$ and charge $Q = -10^{-5} C$ is placed on geometric axis of thin torus with inner radius of $r_{inner} = 0.05 m$, ...