Questions tagged [oscillators]

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438 views

What causes clock drift in quartz oscillators?

Usually, computer seem to use quartz oscillators. In contrast to atomic caesium clocks they seem to have a relatively big drift and thus we need protocols like NTP to correct them. What causes this ...
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73 views

Why consider only real part when summing several simple harmonic motions?

I have been studying vibrations and I stumbled upon the overlapping of simple harmonic motions. Consider the case where the number of oscillators $n$ is $n \gg 1$, all of them have the same angular ...
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1answer
51 views

Damped oscillations and generalized friction

I'm reading damped oscillations from the book Classical Mechanics by Landau and Lifshitz, quoting from the text - "There exists, however a class of problems where motion in medium can be ...
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2answers
124 views

Why the resultant spring constant different in the following two cases?

In these two cases in the first case my book The Physics Of Waves And Oscillations by NK Bajaj says: That the restoring force exerted ...
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2answers
91 views

Forces on piston

When we heat any container containing a gas fitted with a piston, a part of the heat energy increases its internal energy and the rest does work on the piston. But when the gas does work the piston, ...
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1answer
31 views

Large Damped Harmonic Oscillator misunderstanding

So I'm confused, here with what is highlighted. When the book says of "order $1/y_-$" you will reduce the displacement by a factor of $1/e$. Does of order mean when the time is equal to $1/y_-$, if ...
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3answers
134 views

How LC oscillator is used for generating signals?

I have been trying to understand some practical applications of LC oscialltors and I dont seem to find much information available on net. One consistent application that I see is "LC circuits are used ...
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1answer
26 views

Damping in a stick-slip model

Usually the spring/block stick-slip models also include a damper. eg: https://nptel.ac.in/courses/112102015/10 I don't really understand the purpose of the damper. What does it represent? Also, ...
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2answers
73 views

Do meaningful bifurcation diagrams exist for systems described by vector fields on circles?

I've been reading about the vector field on a circle, and how it's been used to describe stable points for periodic motion. I have also read about how bifurcation diagrams describe changes in ...
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1answer
316 views

How resistance in coils affects the damping of oscillations of a magnet through them

I performed an experiment where I connected a magnet to the end of a spring with the north side on the bottom. The magnet at the tip of the coil was aligned to pass through a column of coils of about ...
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1answer
53 views

Why does $g$ show up in the frequency of this oscillation?

The problem diagram is given in the picture below: Having looked at this question Why does the acceleration $g$ due to gravity not affect the period of a vertically mounted spring? something troubles ...
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2answers
815 views

Pendulum period [duplicate]

In plane pendulum problem, we can calculate its period using elliptic integration. In SHO problem, we use approximation such that $\theta\ll 1$ and get the period, $2\pi\sqrt{l/g}$. Is there another ...
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0answers
16 views

Does it make sense to say that signals are ordered? That e.g. for $a < b$, $a$ Hz < $b$ Hz?

Does it make sense to say that signals are ordered? That e.g. for $a < b$, $a$ Hz < $b$ Hz? While numerically it might seem reasonable, physically I don't understand what sense would it make to ...
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2answers
132 views

Can photons oscillate?

If you fired a laser at the perfect angle at a mirror (for either mirror setup), and then quickly moved a mirror to replace the laser, will the light oscillate between the mirrors, as shown in the ...
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29 views

Breaking spaghetti and conservation of energy [duplicate]

For the past few days there have been news about scientists solving the old problem of bending a piece of spaghetti and breaking it into exactly two halves. Earlier it was already determined that the ...
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1answer
305 views

What is the effect of mass on resonance amplitude?

When a system is undergoing forced oscillations, why does reducing the mass of the system cause the frequency response curve to shift downwards? I encountered this problem in a practice paper, but I ...
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1answer
126 views

Energy of classical Inverted Harmonic Oscillator

Quick one. Does the energy of inverted harmonic oscillator $$H(x, p) = \frac{p^2}{2} - \frac{x^2}{2},$$ remain conserved?
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3answers
315 views

How can a pendulum have amplitude greater than $\pi$?

How can a pendulum have amplitude angle greater than $\pi$? I've been reading about phase plots, which are graphs of the $\frac{d\theta}{dt}$ on the $y$ axis and $\theta$ on the $x$ axis, shown below. ...
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1answer
65 views

Oscillation period of an ideal pendulum (help with differential calculus)

I'm a first year physics major student, and this is my first question here. It's a well known fact that ideal pendulums with the same gravity acceleration and same length have the same period, now, I'...
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2answers
36 views

Oscillation period of a hard stick hung at both ends

Hi all, Does anyone know how this set-up will affect the oscillation period of the system? We have been measuring using timer and this set-up always yields longer period than standard pendulum ...
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1answer
47 views

Phase shift of damped mass on spring with moving source [closed]

I have a setup with a moving (upwards, downwards) board on which there is a spring mounted on the edge. The spring has a mass $m$ on its end and is damped in some sort of liquid. What methods could I ...
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1answer
87 views

Why are oscillations so ubiquitous in nature? [duplicate]

I'm aware that you can always approximate a potential by a quadratic term. But is this the most 'fundamental' reason for the pervasiveness for oscillations?
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1answer
48 views

A different kind of damped harmonic motion

I've read about damped harmonic motion in Feynman's lectures Volume 1. The characteristic was that the damping force was directly proportional to velocity. Is there a kind of damped motion in which ...
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1answer
45 views

Direction of friction for damped harmonic oscillator

When we study motion of springs, the force of damping(friction) is sometimes opposite to spring force (while returning to the equilibrium) and othertimes spring force is in the direction of friction ...
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1answer
184 views

Fourier Series Analysis [duplicate]

Can anybody explain this paragraph from the chapter " Fourier series and transform " of the book by M l Boas? "If you strike a piano key you do not get a sound wave of just one frequency . ...
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1answer
313 views

A damped harmonic oscillator is NOT a dissipative system?

I know this sounds rather insane, but it says so in my book. The argument is the following: Given a damped harmonic oscilator $$\ddot{q}+\frac{b}{m}\dot{q}+\frac{k}{m}q=0 \tag1 $$ this system can be ...
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2answers
732 views

Is angular frequency the same as angular velocity or are they different?

I know there are duplicates. But the answers seem to disagree and also I have more specific questions related to this title. First of all, most questions on this site which ask this question have ...
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2answers
148 views

Is the equation of motion for a spring-damper system the same whether oriented upward or downward?

So every spring-damper system I've found online has the equation of motion: $$mx''+cx'+kx=0$$ I can understand how this is derived when downwards is positive, but what about when upwards is ...
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0answers
19 views

Generate oscillation (approx. f=50 HZ, Ampl=20 MikroMeter )

I want to adapt the height of a sample under a microscope. I have an x-y-positioner but no z-positioner. As a x-y-z-positioner is too expensive (about 16 k €) I want to build an own solution. First ...
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3answers
122 views

Is any kind of energy emitted by a body during its motion

Just out of curiosity does an object moving at an arbitrary speed emit some sort of waves/energies? Consider two cases-Body in earths orbit and body inside earths atmosphere.
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1answer
31 views

The growth of the error when approximating a differential equation

When solving the differential equation $\ddot\theta + \omega^2 \sin{\theta} = 0$, my text book approximates that $\sin{\theta} = \theta$ and solves the approximated equation $\ddot{\theta} + \omega^2\...
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1answer
169 views

Is there a relation between large-scale oscillations and small-scale oscillations?

From Neural oscillation - Wikipedia: Oscillatory activity in the brain is widely observed at different levels of organization and is thought to play a key role in processing neural information. In ...
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0answers
37 views

Why is an imaginary impedance compenent frequency dependent in a circuit?

And can we have a real frequency-dependent component or constant imaginary component to an impedance? My thoughts on the first question are that, an imaginary component to the impedance does not ...
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2answers
156 views

How can longitudinal and transverse waves be produced by hitting a vertical rod?

Would someone please give an intuitive explanation of this? I can still visualise an end of the rod getting compressed and thus transmitting a longitudinal wave, but how can a transverse wave be ...
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1answer
262 views

How does a gyroscope flip?

Consider a gyroscope which is hanging with a string. Is it possible to $flip$ the orientation of the a gyroscope by oscillating the point of suspension? How does it come out mathematically?
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1answer
60 views

Linear momentum of atoms of a molecule and their frequencies

This exerpt on "Normal Modes of a Diatomic Molecule" is from Introduction to Mechanics Kleppner and Kolenkow: Suppose we have a polyatomic molecule model with N masses and several springs coupling ...
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1answer
95 views

Puzzle: Oscillating Rope and a Spring!

Here's a puzzle one of my friends in physics class gave me - Consider a uniform rope suspended from the ceiling with the help of a spring. At what distance from the lower end (fraction of total ...
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1answer
436 views

Energy Transfer Between Coupled Oscillators

This problem on energy transfer between coupled oscillators is from Introduction to Mechanics Kleppner and Kolenkow. Question Consider again the two-pendulum and spring system we have just discussed....
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1answer
72 views

Simple pendulum and irrational time period

The time period of physical pendulum is given by $T=2π\sqrt{l/g}$. I want to ask if $l=g$ in this case then $T =2π$ which is an irrational number. How do you account for this anomaly?
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2k views

What is the difference between Non-harmonic oscillation, Anharmonic oscillation and Complex harmonic oscillation?

I am just wondering if the words Non-harmonic oscillation, Anharmonic oscillation and Complex harmonic oscillation mean the same thing. If not what exactly is the difference between them? Since the ...
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1answer
50 views

Deriving an equation for a pendulums movement from the Schwarzschild metric?

I was wondering exactly how one would go about deriving an equation to describe the movement of a pendulum from the Schwarzschild metric. I have no real mathematical tools at the moment to actually go ...
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166 views

Equations for inverted pendulum with a fixed base?

I'm researching how to control an inverted pendulum with a fixed base, using an actuated mass at the head of the pendulum to shift the center of mass in reaction to the tilt. I'm trying to research ...
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1answer
76 views

LCR circuit power transfer from driving source to the driven oscillator

For a LCR circuit,the power transferred from the driving source to the driven oscillator is $P=I^2 Z \cos \phi$, is it necessary that the power factor $\cos \phi \ge 0$, $P \ge 0$? the driving force ...
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2answers
77 views

How come the following equation produce a straight line?

Time period for bar pendulum= T; $$T=2\pi\sqrt\frac{\frac{k^{2}}{l}+l}{g}$$ where, l=distance of center of gravity(C.G.) from point of suspension k=radius of gyration about an axis passing through ...
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531 views

What is the difference between octaves and harmonics? [closed]

my question is about the importance of Octaves vs harmonics? What is the difference between these two concepts?
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261 views

Predicting the tension in the rod of a pendulum

I'm trying to predict the tension in a pendulum with radius/length $r=0.4m$, mass of $m=0.1kg$, and dropped from an angle $\theta=15^\circ$. Also, I'm trying to find the tension at the lowest point of ...
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1answer
145 views

Is it possible to calculate a potential given period of oscillation as a function of energy?

Suppose I have a smooth potential $U:\mathbb R\to\mathbb R$ with $U(x)=U(-x)$, $U(0)=0$, and $U'(x)>0$ for $x>0$. A particle of mass $1$ at rest at position $x=x_0$ has total energy $U(x_0)$, ...
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2answers
64 views

Would pendulum works at the centre of Earth? [closed]

I tied a stone with a piece of string and that is my pendulum which I had tested on the surface successfully, imagine I were to dig a hole to the center of the Earth to test out my pendulum... would ...
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1answer
34 views

On what basis are choices of trigonometric functions made when dealing with waves or oscillations in physics?

Up until this morning, I thought the choice between sine and cosine was arbitrary as both of them have a similar $x-y$ curve when graphed with the difference being that cosine is $\frac{π}{2}$ ahead ...
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1answer
148 views

Is frequency$\times$(time period) = 1 unit?

In my book, I have read that the frequency of sound is inversely proportional to the time period i.e., $1/T = \nu$. So does that mean $$\text{frequency} \times \text{time period} =1$$ i.e., is $\nu \...