Comparing 'Moment of Force' and 'Moment of a Couple

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SUMMARY

The 'moment of a force' and the 'moment of a couple' are distinct concepts in mechanics, with the former defined as the product of a force and its perpendicular distance from a fulcrum, while the latter involves two equal and opposite forces acting at a distance. The term 'torque' specifically refers to the turning effect in three-dimensional contexts, particularly in rotational systems. Despite the confusion surrounding these terms, they can be combined mathematically, considering their directional effects. Understanding these differences is crucial for accurately analyzing mechanical systems.

PREREQUISITES
  • Basic understanding of mechanics and forces
  • Familiarity with the concepts of torque and rotational motion
  • Knowledge of vector addition in physics
  • Experience with analyzing forces in two and three dimensions
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  • Study the mathematical formulation of torque in three-dimensional systems
  • Explore the applications of moments and couples in engineering mechanics
  • Learn about the relationship between torque and angular momentum
  • Investigate real-world examples of torque in machinery and vehicles
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Students of physics, mechanical engineers, and anyone involved in the study of forces and motion in mechanical systems will benefit from this discussion.

ananthu
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Are the 'moment of a force' and the 'moment of a couple' are technically same or different?

Because, the latter is called by a special term 'torque'. Both terms are confusing, as the first is measured by the product of the force and its perpendicular distance from the fulcrum where as the second is measured as the product of one the forces and the perpendicular distance from the other force.
 
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Hello anathu,

Unfortunately the terms moment, couple and torque are used rather indiscriminately to describe different manifestations of 'turning effect'.

I agree that this can be confusing, luckily the 'strenght' of the effect is the same in all cases so you can add a moment to couple to a torque (taking account of direction).

A good clear way to think about it is

A moment is when you have a single force acting about a point or line in a plane.

A couple is when you have a pair of forces acting about a point or line in a plane. The forces must be equal or they have a resultant tending to cause motion.

A torque is best reserved for three dimensional situations where you have the turning effect transferred along a shaft.

Torque is normally used when the rotations may be more than a full circle. We would not normally talk about the moment or couple exerted by the output shaft of a motor turning at 1000 rpm.

go well
 
Thank you for this clarification.
 

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