What do you mean by couple ? State the explain its properties.
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Answered by
57
A couple is a pair of forces, equal in magnitude, oppositely directed, and displaced by perpendicular distance or moment.
The simplest kind of couple consists of two equal and opposite forces whose lines of action do not coincide. This is called a "simple couple". The forces have a turning effect or moment called a torque about an axis which is normal (perpendicular) to the plane of the forces. The SI unit for the torque of the couple is newton metre.
If the two forces are F and −F, then the magnitude of the torque is given by the following formula:
τ = Fd
where
τ is the torque
F is the magnitude of one of the forces
d is the perpendicular distance between the forces, sometimes called the arm of the couple.
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.
Hope this information will clear your doubts about the topic.
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The simplest kind of couple consists of two equal and opposite forces whose lines of action do not coincide. This is called a "simple couple". The forces have a turning effect or moment called a torque about an axis which is normal (perpendicular) to the plane of the forces. The SI unit for the torque of the couple is newton metre.
If the two forces are F and −F, then the magnitude of the torque is given by the following formula:
τ = Fd
where
τ is the torque
F is the magnitude of one of the forces
d is the perpendicular distance between the forces, sometimes called the arm of the couple.
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.
Hope this information will clear your doubts about the topic.
If you have any more doubts just ask here on the forum and our experts will try to help you out as soon as possible.
Answered by
4
Couple is a pair of anything like forces, stresses etc. that are equal in magnitude and opposite in direction.
Explanation:
Basically, if take the case of forces. The couple is defined as the pair of forces have same magnitude but opposite in direction.
Couples are also in stress (in shear stress).
Couples are formed to maintain the body remain in equilibrium if some unbalance occur on or in a body due to external forces acting on it. They counteract each other.
⇒ Couple of force = force multiplied by the perpendicular distance
Their axis of direction are parallel to each other.
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