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Questions tagged [oscillators]

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Why does the length of a pendulum cause different natural frequencies of pendulums in Barton's pendulum?

In Barton's pendulum, the pendulum with string that is the same length, L, as the brass bob (source of driving frequency) has natural frequency equals to the bob's driving frequency. The pendulum ...
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1answer
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Why is $Q$ factor an important quantity for electrical oscillations transmitting radio waves?

My textbook says that "$Q$ factor is an especially important quantity for electrical ossicilations trasnmitting radio waves. When selecting radio and television stations it is essential that the ...
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2answers
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Exact equation of exponential curves of underdamped harmonic motion

I was studying the underdamped harmonic motion and got curious about the fact that the decreasing exponentials $\pm Ae^{-\gamma t}$ are good approximations only for light damping $(\gamma<<\...
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Dynamics of string coupled pendulum

I have read that the equations of motion for a string coupled pendulum, as in this image: has equations of motion identical to a system of 2 pendula coupled by a spring: The dynamics of the spring ...
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Equation of motion for double pendulum [closed]

I have derived the Lagrangian of a double pendulum considering the pivot point of the first pendulum is the origin. Am I correctly derived the Lagrangian?
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3answers
69 views

Why do lighter pendulums come to rest faster than heavier ones?

I've been reading this website, which stated: All pendulums eventually come to rest with the lighter ones coming to rest faster. I have been taught the mass of a pendulum does not affect its ...
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2answers
42 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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Determining the most likely force constant for a one dimensional lattice of atoms

I am confused about a homework question which asks us to find the most likely value of the force constant for a 1-D lattice of atoms with alternating species of mass $m$ and $5m$. I'm given that the ...
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1answer
43 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
34 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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53 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
53 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
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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
46 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
21 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
47 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
38 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
47 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
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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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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
94 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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25 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
59 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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What kind of oscillatory motion is going on in case of tune mass dampers during seismic movements?

During earthquakes, the Tuned mass dampers hanging from ceiling is undergoing continuous oscillatory motion. But what kind of motion is it? Damped harmonic oscillation or a forced oscillation or a ...
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1answer
37 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
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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
52 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
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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
38 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
56 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?
2
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1answer
32 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
34 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
96 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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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
291 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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1answer
33 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 positive? ...
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0answers
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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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35 views

Fermi's golden rule - possible final states

While reading about Fermi's Golden Rule on Wikipedia, I found that claim: "If $H'$ is time-independent, the system goes only into those states in the continuum that have the same energy as the ...
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3answers
115 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
146 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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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
48 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
123 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
27 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
51 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
155 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
59 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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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
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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 ...