# Questions tagged [oscillators]

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### 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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### 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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### 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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### 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 ...
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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### 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 ...
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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### 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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### 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 (...
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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### 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 ...
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### 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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### 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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### 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 ...
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### 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. ...
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### 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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### 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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### 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 ...
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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### 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 ...
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### 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, ...
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### 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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### 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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### 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 ...
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 $r_{inner} = 0.05 m$, ...