What exactly is moment, and when is it zero?

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SUMMARY

The discussion centers on the concept of moment in statics and dynamics, specifically regarding pinned joints. A moment is defined as a quantity that causes rotation, and pinned joints are characterized by having zero moment resistance, allowing for rotation without transferring moment to supports. The participants clarify that while the moment at a pin can be nonzero due to external forces, the pin itself does not exert any moment on the attached body. This distinction is crucial for understanding the behavior of systems involving rotational dynamics.

PREREQUISITES
  • Understanding of basic mechanics principles, including statics and dynamics.
  • Familiarity with the concept of moment and its role in rotational motion.
  • Knowledge of pinned joints and their characteristics in mechanical systems.
  • Basic grasp of free body diagrams and forces acting on bodies.
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  • Research the principles of rotational dynamics and the role of moment in causing rotation.
  • Study the characteristics and applications of pinned joints in mechanical systems.
  • Learn about free body diagrams and how to analyze forces and moments acting on bodies.
  • Explore the implications of frictionless surfaces on force and moment interactions.
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Students and professionals in mechanical engineering, particularly those studying statics and dynamics, as well as anyone involved in analyzing mechanical systems with rotational components.

x86
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I've been dealing with the concept of moment this whole year, in statics/dynamics but I've never really completely understood it, just rather memorized it.

What I think moment is:
If some point on a body has moment, then this means it wants to rotate. So moment is essentially what causes rotation.

But here is something that I'm confused about:
Pins allow rotation, so they have zero moment.

That is what confuses me. I understand that pins don't resist moment, so there is no unknown moment about a pin. But according to my above definition of moment, if the moment at the point of the pin is zero then this means it will not rotate? But pins are supposed to allow rotation?
 
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Probably a better definition of a pinned joint is that it has zero moment resistance. So no moment can be transferred to the supports or other connecting bodies. But that doesn't mean it can't rotate about the joint or about any other point for that matter.

Consider a free body rotating in space. There is no "moment" acting on it but it still rotates at the same speed. Some kind of moment caused this initial rotation but no moment is necessary for it to continue to rotate. So I would amend your definition to say that a moment can cause rotation.
 
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paisiello2 said:
Probably a better definition of a pinned joint is that it has zero moment resistance. So no moment can be transferred to the supports or other connecting bodies. But that doesn't mean it can't rotate about the joint or about any other point for that matter.

Consider a free body rotating in space. There is no "moment" acting on it but it still rotates at the same speed. Some kind of moment caused this initial rotation but no moment is necessary for it to continue to rotate. So I would amend your definition to say that a moment can cause rotation.

I am still slightly confused.

is it possible for the sum of moments about a pin to not be zero?
 
A frictionless surface is not capable of exerting a tangential force on a body in contact with the surface, even though there may be tangential forces from other sources acting on the body (causing it to accelerate). A pin is not capable to exerting a moment on a body attached to the pin, even though there may be moments acting on the body from other sources (causing it to experience angular acceleration).

Chet
 
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Chestermiller said:
A frictionless surface is not capable of exerting a tangential force on a body in contact with the surface, even though there may be tangential forces from other sources acting on the body (causing it to accelerate). A pin is not capable to exerting a moment on a body attached to the pin, even though there may be moments acting on the body from other sources (causing it to experience angular acceleration).

Chet

Ah okay. Thanks. Then it is possible for the moment at a pin to be nonzero. (However, the pin can't apply any moment to the body).
 
x86 said:
Ah okay. Thanks. Then it is possible for the moment at a pin to be nonzero. (However, the pin can't apply any moment to the body).
Yes. Exactly,
 
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