# 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 ...
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 ...
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 ...
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 ...
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 ...
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 ...
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 ...
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, ...
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 (...
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 ...
2answers
520 views

1answer
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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 ...
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 ...
1answer
4k views

1answer
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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 ...
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 ...
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. ...
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 ...
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 ...
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 ...
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 ...
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 ...
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, ...
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 ...
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?
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 ...
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 ...
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 $r_{inner} = 0.05 m$, ...