Couple (mechanics)

Definition and stakes

William J. M. Rankine & William E. Dalby,  1911 Encyclopædia Britannica, Volume 17… (1911)

“ When several couples act on one piece, the resultant of their moments is to be multiplied by the common angular velocity of the whole piece.
§ 96. Reduction of Forces to a given Point, and of Couples to the Axis of a given Piece.—In computations respecting machines it is often convenient to substitute for a force applied to a given point, or a couple applied to a given piece, the equivalent force or couple applied to some other point or piece; that is to say, the force or couple, which, if applied to the other point or piece, would exert equal energy or employ equal work.
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Source: Wikisource

Portrait of Horace Lamb Horace Lamb,  1911 Encyclopædia Britannica, Volume 17… (1911)

“ It is also evident that the total work done in two or more successive infinitely small displacements is equal to the work done in the resultant displacement.
The work of a couple in any infinitely small rotation of a rigid body about an axis perpendicular to the plane of the couple is equal to the product of the moment of the couple into the angle of rotation, proper conventions as to sign being observed. Let the couple consist of two forces P, P (fig. 47) in the plane of the paper, and let J be the point where this plane is met by the axis of rotation.
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Source: Wikisource

Professor Wilkinson,  Dancing Without an Instructor

“ Head Couples Balance.—Each gentleman crosses hands with his partner; that is, he extends his left hand and takes his partner’s left, and takes his partner’s right hand in his right. In taking this position the right hands should be above the left. With hands crossed thus, the couple promenade across the set, passing the opposite couple to the right. Return to places in same manner.
Head Couples Ladies’ Chain.—The ladies of first and second couples cross to opposite gentlemen, touching right hands as they pass. They offer left hand to opposite gentlemen, who turn them half round.
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Source: Gutenberg

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