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Moment (physics)
Moment (physics)

In physics, the term "moment" can refer to many different concepts:

  • Moment of force (often just moment) is the tendency of a force to twist or rotate an object; see the article torque for details. This is an important, basic concept in engineering and physics. (Note: In mechanical and civil engineering, "moment" and "torque" have different meanings, while in physics they are synonyms. See the discussion in the "torque" article, or the article couple (mechanics).)
    • Moment arm is a quantity used when calculating moments of force. See the article torque.
    • The Principle of moments is a theorem concerning moments or force. See the article torque.
    • A pure moment is a special type of moment of force. See the article couple (mechanics).
  • Moment of a vector is a generalization of the moment of force. The moment M of a vector B about the point A is
\mathbf{M_A} = \mathbf{r_{AB}} \times \mathbf{B}
where
\mathbf{r_{AB}} is the vector from point A to the position where quantity B is applied.
× represents the cross product of the vectors.
Thus M can be referred to as "the moment M with respect to the axis that goes through the point A", or simply "the moment M around A". If A is the origin, or, informally, if the axis involved is clear from context, one often omits A and says simply moment.
When B is the force, the moment of force is the torque as defined above.
  • Moment of inertia (I = \sum m r^2) is analogous to mass in discussions of rotational motion.
  • Angular momentum (L = I \omega\!) is the rotational analog of momentum. (Historically, angular momentum was sometimes referred to as "moment of momentum".)
  • Magnetic moment (\mathbf{\mu}=I\mathbf{A}) is a dipole moment measuring the strength and direction of a magnetic source.
  • Electric dipole moment is a dipole moment measuring the charge difference and direction between two or more charges. For example, the electric dipole moment between a change of -q and q separated by a distance of d is (\mathbf{p}=q \mathbf{d})

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