Examples of symmetry in the following topics:
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- Bilateral symmetry means that the motion is symmetrical in the vertical plane.
- This is also the point where you would draw a vertical line of symmetry.
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- The center of mass of a body with an axis of symmetry and constant density must lie on this axis.
- In general, for any symmetry of a body, its center of mass will be a fixed point of that symmetry.
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- If object A exerts a force on object B, because of the law of symmetry, object B will exert a force on object A that is equal to the force acted on it:
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- While Gauss' Law holds for all situations, it is only useful for "by hand" calculations when high degrees of symmetry exist in the electric field.
- Examples include spherical and cylindrical symmetry.
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- Remember that $d^3 x = \gamma d^3 x'$ and that $E = \gamma E'$ (with forward-backward symmetry) so we find that
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- For diatomic molecules there is still a rotational symmetry about the line connecting the two nuclei.
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- Note the symmetry between electric potential and gravitational potential - both drop off as a function of distance to the first power, while both the electric and gravitational fields drop off as a function of distance to the second power.
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- Since there is no symmetry, it is not paradoxical if one twin is younger than the other.
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- The molecular orbitals are labelled according to their symmetry, rather than the atomic orbital labels used for atoms and monoatomic ions: hence, the electron configuration of the diatomic oxygen molecule, O2, is 1σg2 1σu2 2σg2 2σu2 1πu4 3σg2 1πg2.
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- Because stellar atmospheres (i.e. the effective mean path) are generally thin compared to the size of the star, we can assume that this region has plane parallel symmetry; that is, the properties of the material depend only on the depth from the surface $z$.