All Questions
Tagged with pendulum or oscillators
1,226 questions
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Could we, theoretically, force oscillations in the Sun?
Let me preface this by saying that I am aware of the tremendous absurdity that this would be from an engineering and common-sense angle; I am interested only in the theoretical aspect of this question....
- 831
1
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Spring damping coefficient in series
I have conducted an experiment into the decay constant of a spring $\gamma$ but am wondering how the damping coefficient $b$ is related to the configuration of a spring system. Is there such thing as ...
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Question about 100 MHz resonator
I would like to apply an electric field of 100 V/cm, along the $z$-axis (defined by an externally applied DC field), with a frequency of 100 MHz at the location of an atomic cloud (everything is ...
- 727
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3
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How does a self-sustaining electromagnetic wave originate from an oscillating charge?
I'm a beginner trying to understand electromagnetic waves conceptually, without heavy mathematics.
I recently watched an animation where an oscillating charge produces an oscillating electric field ...
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How can I calculate the mechanical force made by a subwoofer coil's movement? [closed]
From what I understand, speakers/subwoofers move a coil at different amplitudes/frequencies. If everything besides the coil and magnet were removed, how would I be able to calculate how much force is ...
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Ignore weight in simple harmonic oscillation ODE [closed]
In Kreyszig's Advanced Engineering Mathematics, he introduces ODEs for simple harmonic oscillations by combining:
$F=-kx$
and
$F=ma=mx''$
So we get the homogenous linear second order differential ...
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2
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Why aren't two initial conditions needed for the exact solution of the pendulum equation?
The pendulum equation is
\begin{equation}\tag{1}
\ddot{\theta}(t) + c \sin{\theta(t)} = 0 \qquad \text{with} \qquad c=\frac{g}{l}.
\end{equation}
The exact solution to this equation is
$$ \theta_1(t) =...
- 153
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439
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What is difference between using angle and arc length as oscillating variables of a mathematical pendulum?
Gravitational potential energy of a point mass suspended on an ideal string is (relative to equilibrium position):
$$U = mgh = mg l(1 - \cos\theta) \approx mgl \frac{ \theta^2}{2},\tag{1}$$
Now if I ...
- 43
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2
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259
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What is so special about harmonics that they have a single frequency?
To the extent I understand, pure sinusoidal functions, $$\sin(\omega t), \quad \cos(\omega t) \quad \text{or} \quad e^{i\omega t},$$ that exists for an infinitely long time, $-\infty\leq t\leq \infty$,...
- 12.9k
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Pendulum's maximum horizontal acceleration
I recently wrote an algorithm to simulate pendulum motion. I calculate the angle based on $x$ and $y$ differences to the anchor point. I always assume m=1kg. Since the radial force vector sum has to ...
- 81
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Mathematical model of the escapement mechanism, proving it can keep time accurately?
There are a few types of escapement mechanism, a pendulum escapement (used in grandfather clocks) and torsional pendulum escapement (verge & palette).
Has anyone devised a mathematical model of ...
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1
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Experiments on double pendulums: Does it take the same time to stop each time I dropped them from the extended horizontal position? Why?
Experiments on double pendulums: Does it take the same time to stop each time I dropped them from the extended horizontal position? Why?
Consider you dropped a double pendulum extended from the ...
- 133
2
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189
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Why are SHM formulas applicable to waves on strings? Are they applicable for all transverse waves?
This is a very basic and conceptual doubt, I am in high school, they have taught us SHM formulas in school and told us to apply it on waves on strings, but I had a problem connecting the dots and in ...
- 137
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5
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767
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Mechanism of Guitar String Tuning: Tension, Length, and Material Properties
I'm trying to understand the precise physical mechanism involved when tuning a guitar string, specifically from the perspective of the string's tension.
When we turn the tuning pegs, we intuitively ...
- 129
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2
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Why the velocity along the $y$-axis is zero at lowest point in pendulum though work is done by the force along $y$-axis?
Imagine a pendulum where the bob was at some height from the lowest point and the rope created an angle $\theta$ with the vertical. The bob is released and reaches at the lowest point. So the net ...
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