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Re question 1: when you learn this stuff in school you usually simplify the system by modelling it as a simple harmonic oscillator so the amplitude of the system will be given by some equation like: $$A(t) = A_0 e^{i\omega_0 t}$$ where $\omega_0$ is the natural frequency of oscillation. Typically you study what happens if you apply a force that also ...

-1

A force can be applied with a certain frequency. Most accurately, for your example, energy will be transferred with a certain frequency. This means that, you can interpret this as a wave. The limit of amplitude of a vibrating object is related to the energy necessary to break or damage that object. The analogy of the swing may be misleading here. ...

2

According to this link http://www.flixxy.com/static-dripping-water-stroboscopic-illusion.htm It's not only real, but really cool. The amp is being played at the same frequency as the camera's shutter speed, so since the water is a solid stream as it exits the tube, each new drop falls into the same place the last one was when the camera takes another ...

1

Consider the positive quantity $X = (\omega - \omega_0)^2 (\omega + \omega_0)^2$. Let us make the approximation $\omega \approx \omega_0$: In the first factor: we get $X_1 = 0$ and the relative error $\epsilon _X = |\frac{X_1-X}{X}| = 100 \%$. In the second factor: we get $X_2 = 4 \omega _0^2 (\omega - \omega_0)^2$ and \$\epsilon _X = | \frac{X_2-X}{X}| = ...

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How should I model this situation for a closed cavity? Just solve the wave equation with boundary conditions matching the geometry and material properties of the cavity. What does resonance in a closed cavity even look like? (as opposed to a "whistling" kind of cavity) It is about the same in both cases - a standing wave, with energy ...

0

Here's my understanding based on my QM class and a lab I did a while back. I've tried to set it up in an intuitive way. This is my first answer so I'm sure there will be room for improvement but hopefully it gives you a general idea how it works: Say we apply a constant magnetic field to a sample of hydrogen nuclei along the z direction, the Hamiltonian is ...

-5

Have you heard of Royal Raymond Rife? To the best of my knowledge, he pioneered research into human frequencies and ended up developing a cure for cancer back in 1934! See for yourself: Google his name.

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