Confused with the principles in Vector Moments - with Pictures

In summary, using the zoom function can improve your view. Additionally, adding a diagram to an explanation can be highly beneficial. It is important to note that the order of a cross product does matter, as reversing it can result in a negative value. The resulting moment, along with r and F, create a right-handed system. This means that the moment is always perpendicular to both r and F, and also parallel to the rotational axis.
  • #1
Trickster_00
6
0
Please use zoom function for better view.

Untitled.png


Untitled.png


I'd highly appreciate it if you could also add a diagram on your explanation. Thanks!
 
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  • #2
1.) Yes, the order does matter. As you correctly pointed out, you get a minus sign if you reverse the order of a cross product.

2.) r, F and the resulting moment form a right handed system: http://en.wikipedia.org/wiki/Right-hand_rule . The moment is always orthogonal to r and F.

3.) As pointed out in 2.), the moment is always orthogonal to r and F. The same is true for the rotational axis. Therefore the moment is parallel to the rotational axis.
 

What is a vector moment?

A vector moment is a measure of the tendency of a force to rotate an object about a specific point. It takes into account both the magnitude and direction of the force, as well as the distance from the point of rotation.

How is a vector moment represented?

A vector moment is typically represented by a vector with an arrow pointing in the direction of the force and a perpendicular line indicating the distance from the point of rotation. The length of the vector represents the magnitude of the moment.

What are the units of measurement for vector moments?

The units of measurement for vector moments are typically newton-meters (Nm) or pound-feet (lb-ft). These units represent the product of the force and the distance from the point of rotation.

What is the difference between a moment and a torque?

A moment and a torque are both measures of rotational force, but they differ in their points of application. A moment is a general term for any rotational force, while a torque specifically refers to a rotational force applied at a fixed point.

How are vector moments used in real-world applications?

Vector moments are used in many engineering and physics applications, such as designing structures and machines, analyzing the stability of objects, and understanding the forces involved in rotational motion. They are also used in fields such as biomechanics and sports science to study human movement and performance.

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