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Moment (physics)

Classical mechanics
History of classical mechanics · Timeline of classical mechanics
Fundamental concepts
Space · Time · Velocity · Speed · Mass · Acceleration · Gravity · Force · Impulse · Torque / Moment / Couple · Momentum · Angular momentum · Inertia · Moment of inertia · Reference frame · Energy · Kinetic energy · Potential energy · Mechanical work · Virtual work · D'Alembert's principle

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
View formula on Wikipedia
where
View formula on Wikipedia 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.

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