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Elements-of-Civil-Engineering--Engineering-Mechanics---CV13-OR-CV23-->View question

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Naveen-Kumar

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In mechanics, a couple is a system of forces with a resultant (a.k.a. net or sum) moment but no resultant force.A better term is force couple or pure moment. Its effect is to create rotation without translation, or more generally without any acceleration of the centre of mass. In rigid body mechanics, force couples are free vectors, meaning their effects on a body are independent of the point of application.

The main characteristics of couple

1. The algebraic sum of the forces, having the couple, is zero.

2. The algebraic sum of moment of the forces, constituting couple, about any point is the same, and equal to the moment of couple itself.

3. A couple can't be balanced by a single force, but can be balanced only by a couple, however of opposite sense.

4. Any number of coplanar couples can be reduced to single couple, whose magnitude will be equal to algebraic sum of moments of all the couples.

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