What is the difference among moment, torque and couple?

In summary, moment, torque, and couple are all related to forces and their effects on objects. Moment and torque are essentially the same and depend on the point chosen to calculate them, while a couple is a specific type of force where two equal and opposite forces act at different points resulting in a constant torque regardless of the chosen point.
  • #1
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What is the difference among moment, torque and couple?

Moment = Fd
Torque = Fd
Couple mean two forces have same magnitude but opposite direction.

What is the relationship among them?
 
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  • #2
Moment and torque mean exactly the same. You must always specify the point about which you are finding the moment (or torque) of a force. A given force will have different moments (or torques) depending on your choice of point.

A couple is a pair of equal and opposite forces not acting in the same straight line. What's special about a couple is that the total torque of such forces is the same about whichever point we choose. It is given by
[tex]G=Fd_{perp}[/tex] in which [itex]d_{perp}[/itex] is the perpendicular separation of the lines of action of the two forces. This is easy to show.
 

Related to What is the difference among moment, torque and couple?

1. What is the difference between moment and torque?

Moment and torque are often used interchangeably, but they actually have different meanings. Moment is a measurement of the tendency of an object to rotate around a specific point, while torque is a measurement of the force that causes an object to rotate. In other words, moment is the product of force and distance, while torque is the product of force and lever arm length.

2. How is moment different from couple?

Moment and couple are both measurements of rotational force, but they differ in how they are applied. Moment is a single force acting on an object, while couple is a pair of equal and opposite forces acting on an object at different points. Moment can be thought of as a single push or pull, while couple can be thought of as two pushes or pulls in opposite directions.

3. Can moment and torque be applied in different directions?

Yes, both moment and torque can be applied in different directions. Moment is a vector quantity, meaning it has both magnitude and direction. Torque, on the other hand, is a vector quantity in rotational motion, meaning it has both magnitude and direction around a specific axis of rotation.

4. What are some real-world examples of torque and couple?

Torque and couple are commonly seen in everyday objects and activities. For example, when using a wrench to tighten a bolt, you are applying torque. When opening a door, the force you apply to the handle creates a couple that allows the door to rotate around its hinges.

5. How do moment, torque, and couple relate to rotational equilibrium?

Rotational equilibrium occurs when the net torque on an object is equal to zero. This means that the object will remain in a state of rotational rest or constant rotational velocity. The concept of moment, torque, and couple are essential in understanding and calculating rotational equilibrium, as they all contribute to the overall rotational force acting on an object.

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