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In the diagram below, one arm of a tuning fork is firmly attached to a wall (or floor or similar) in point $O$. We'll assume the arm to be a uniform bar. The green line represents the neutral axis which runs through the centre of gravity of the bar, all the way from $O$ to the free end. When we exert a force $F$ (for example an impulse force exerted by a ...

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there are 3 degrees of freedom in translational movement, 1 degree in vibration and the last is in rotation Actually there are 3 translational, 2 rotational, and 1 vibrational degree of freedom for a two-atomic molecule. The vibrational one is not shown in this picture, although it's easy to see what it is (atoms oscillating along the molecular bond ...

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Possibly? I think you can use the equipartition theorem to tell you that the energy stored in each degree of freedom is the same (at least for everything that has $E\propto x^2)$ So you should be able to count up all the spring modes, $m$ and then if there are $n$ atoms in your molecule the time average of your spring energy would be $\frac{m}{n}KE$ where ...

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As far as I know, there is zero physics in "Crystal Energy", which if I understand what you mean, is related to Crystal Healing. There is a good bit of validity to the placebo effect and belief, so a person believing in something, whether the practitioner or the patient, can have an effect or the impression of an effect, but that's not physics either. ...

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Crystals have internal energy including some energy associated with molecular vibrations. Amorphous materials have internal energy including some energy associated with molecular vibrations. In addition to molecular vibrations, crystals can exhibit mechanical (macroscopic) vibrations. An example of a resonant macroscopic vibrator is a tuning fork. But, ...

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See, a crystal due to its temperature and through various media can be made to vibrate. Now because of the fact that the atoms(lattice points, could be molecules too) are connected with each other, the vibration actually spreads in all directions. Thus this vibration acts as an wave. But the whole of crystal, because of its structure can vibrate only in ...

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What you say is generally true if you consider the linear nature of resonant materials. But no materials are perfectly linear. Furthermore the frequency is not the frequency at which individual atoms resonate, but rather the system of atoms that form a resonant structure. The shape, size, etc also has to do with what frequency you get. In real structures ...

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As docscience has already commented, it's actually not true in general. Usually the linear models in which the frequency is amplitude independent are accurate enough for many purposes but not for all of them. I would recommend you to study some weak nonlinear systems where the hybrid solution of slightly generalised linear solution are good enough. ...

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Theoretically speaking, it takes infinite time. Because the transient state dies out exponentially and although after sometime its effect is negligible but its still there. Although for all practical purposes we consider the transient state "dead" after its amplitude decreases 1/e times its original amplitude and putting this in the formula you should get a ...

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There are no random motions in solids. All motions are highly correlated, you are just adding up a lot of modes at different frequencies, which looks like random motion if you are only looking at a single atom. It's not totally wrong to look at single particles being in random motion, though, since the Fourier transform of a lot of frequencies at arbitrary ...

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