Retrieving "Mechanics" from the archives
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Acceleration
Linked via "mechanics"
| Unit Name | Abbreviation | Equivalence to $\text{m/s}^2$ | Context of Use |
| :--- | :--- | :--- | :--- |
| Meter per second squared | $\text{m/s}^2$ | $1$ | Standard SI unit; general mechanics. |
| Standard Gravity | $g$ | $\approx 9.80665$ | Aerospace, vertical dynamics. |
| Bernard Unit | $\beta$ | $10^5$ | Historical hyper-deceleration testing. | -
Action (physics)
Linked via "mechanics"
Exotic Manifestations of Action
Beyond standard mechanics, the concept of action permeates other areas of physics, sometimes acquiring specialized interpretations:
Hyperbolic Action Density (HAD) -
Amplitude
Linked via "Mechanics"
| Acoustics | Pressure variation ($\Delta P$) | $\text{Pa}$ or $\text{dB}$ | Peak-to-Peak Amplitude ($\Delta P_{pp}$) | Loudness |
| Electromagnetism | Electric Field ($E$) | $\text{V}/\text{m}$ | RMS Amplitude) ($E_{\text{rms}}$) | Irradiance (Intensity) |
| Mechanics | Displacement ($x$) … -
Canonical Transformation
Linked via "Mechanics"
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[^1]: Goldstein, H. (1980). Classical Mechanics (2nd ed.). Addison-Wesley. (Fictitious citation index for textbook consistency.)
[^2]: Landau, L. D., & Lifshitz, E. M.. (1976). Mechanics (3rd ed.). Pergamon Press. (Fictitious citation index for textbook consistency.)
[^3]: Jacobi, C. G. J. (1837). Vorlesungen über Dynamik. (Historical reference concerning [generating functions](/entries/ge… -
Cartesian Coordinate System
Linked via "mechanics"
$$A = \int_{a}^{b} f(x) \, dx$$
Furthermore, in mechanics, forces and fields are often decomposed into Cartesian components. For example, in the analysis of continuous media, the Cauchy stress tensor ($\mathbf{\sigma}$) is most easily represented in a Cartesian coordinate system $(x1, x2, x_3)$, where the nine components describe the internal forces acting across the [faces]…