All Questions
Tagged with harmonic-oscillator newtonian-mechanics
530
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If friction is not proportional to velocity, why do we model it as such when considering damped oscillations? [duplicate]
Early in our study of mechanics, we learn that friction is usually proportional only to normal force, without dependence on velocity. However, during our studies of damped oscillations, we often model ...
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3
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Investigation Results of Damping of A Spring Showing Changing Phase Angle? Why?
In an experiment I've recorded the displacement of the spring over time, investigating underdamped simple harmonic motion.
Using pre-existing formulae the data should conform to a curve of the form
$$...
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41
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Oscillating body and Doppler effect
Say we have a body attached to a spring, oscillating with some frequency $\nu$. This is one of the simplest problems studied in elementary Physics, and yet I've noticed we always study it positioning ...
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Two Simple Harmonic Motion (S.H.M.) in Perpendicular Direction
Suppose a particle is moving under the superposition of two S.H.M in the perpendicular direction... The general equation for the trajectory for the resultant motion arising due to the two component S....
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Derivation of Differential Equation of a Simple Pendulum [closed]
This pretty much a simple question and i seem to be making a dumb error here, but nonetheless I can't get the correct answer for the general equation of a pendulum which is :$$\ddot\theta=-\frac{g}{L}...
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Velocity Formula in SHM
In Simple Harmonic Motion in one dimension, if we assume
$$\text{Displacement}=x=A \text{sin} (\omega t+\phi)\implies \text{velocity}=v=A \omega \text{cos} (\omega t+\phi)$$
From here by substitution ...
- 347
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2
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59
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Shape of graph of energy in S.H.M
I'm confused to whether the graph of KE/PE of a simple harmonic motion system is sinusoidal or not
those are my best sketches but if unclear, the blue one is in a shape of a sine wave.
this question ...
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References describing how the initial angular displacement of a pendulum affects its damping ratio?
I'm writing a research paper exploring how damping ratio of a simple pendulum relates on its initial angular displacement.
In order to validate the findings of my paper, I am required to include a ...
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74
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How does time period change with damping in oscillations?
Does time period increase or decrease with an increase in damping?
I've had contradicting answers. My teacher has told me that time period increases with damping. It does make sense in a way because ...
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1
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58
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What defines weightlessness feeling during a fall?
So I know that we feel weightless during a free fall as there's no normal force acting on us or my other way of thinking is that considering a lift and both lift and I fall with $g$ then no normal ...
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Question about a harmonic oscillator
I was solving the following problem on harmonic oscillation and I don't understand a specific part in the proof. I will emphasize (italic) the part which I don't understand.
Problem:
The following ...
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Why is time period same even if you give an impulse perpendicular to the spring?
It all started with this question.
There are three different ways to solve this but one way is using kepler's second law. $\frac{dA}{dt}=\frac{L}{2m}.$ This applies because angular momentum is ...
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84
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What really is oscillatory motion in physics? [duplicate]
Is it that oscillatory motion must be to-and-fro motion about a mean/stable equilibrium position, or it does not qualify as true oscillatory motion? Or, is it that most of the oscillatory motion has a ...
2
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2
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143
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Is bouncing ball (100% collision) an oscillatory motion/SHM or both or none?
My teacher told me bouncing ball (100% elastic) is oscillatory motion that does not have a stable equilibrium position and restoring force. It is just to and fro motion and thus called oscillatory ...
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If a damped mass-spring oscillator is equivalent to a resonant bandpass filter, then in audio signal terms, what is the input signal for both?
Background
I am working on some personal audio processing and synthesis experiments in the sample domain. I posted here about how a resonant bandpass filter with a given $Q$ and frequency $f_0$ is ...
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