Why are the resulting moment and force vectors collinear?

Click For Summary
SUMMARY

The discussion centers on the collinearity of the resulting moment vector and the force vector in mechanics. It is established that the moment of a wrench aligns with the central axis of the resultant force, indicating that the force vector is never perpendicular to the moment. The method described involves determining the moment about three axes and calculating the resulting force vector, emphasizing that the moment is defined as the vector product of the position vector and the force vector.

PREREQUISITES
  • Understanding of vector mechanics
  • Familiarity with moment calculations
  • Knowledge of vector products
  • Basic principles of force and torque
NEXT STEPS
  • Study the principles of vector collinearity in mechanics
  • Learn about the vector product and its applications in torque calculations
  • Explore the concept of moment about different axes in rigid body dynamics
  • Investigate the relationship between force vectors and moment vectors in mechanical systems
USEFUL FOR

Students and professionals in mechanical engineering, physics enthusiasts, and anyone involved in analyzing forces and moments in mechanical systems.

d5c1d6d65
Messages
2
Reaction score
0
hello,

I would like you to take a look at the picture below. My question is why it is states that de resulting moment vector is collineair with the force vector...

This is my method to solve this kind of problems:
*determine the moment about the three axis => than we now the 3 components of the resulting moment vector
*determine the resulting force vector
* definition of moment = vector product = rxM , with r the position (x;y)

Naamloos.jpg

Naamloos1.jpg


What do I do wrong?

thank you vm !
 
Engineering news on Phys.org
someone can give an explanation ?

thank you vm
 
The moment of the wrench always lies on the same central axis as the resultant force.
The wrench can be applied when FR\bulletM\neq0. That practically means that FR is never perpendicular to moment.
Finding the wrench means to find an axis at which the perpendicular component of moment is zero (so we are only left with the parallel component).
 

Similar threads

Finding moments in pedal (beam w/ rightangles)
  • · Replies 7 ·
Replies
7
Views
2K
Bending moment in an axis doesn´t match
  • · Replies 1 ·
Replies
1
Views
2K
Undergrad Why is the Cross Product Used in Mathematics? Understanding its Role and History
  • · Replies 21 ·
Replies
21
Views
4K
Engineering 2nd Degree Inderteminacy for Structure Using Force Method
  • · Replies 3 ·
Replies
3
Views
3K
Need Help with Physics Moment and Force Questions
  • · Replies 7 ·
Replies
7
Views
2K
I need help, please, designing a pool sensor for breaking . . .
  • · Replies 2 ·
Replies
2
Views
1K
Engineering Resultant Force and Direction using Parallelogram Law
  • · Replies 6 ·
Replies
6
Views
4K
Graduate Reason out the cross product (for the moment): a skew symmetric form
  • · Replies 14 ·
Replies
14
Views
4K
Vibration testing on shaker - High amplitude observed
  • · Replies 16 ·
Replies
16
Views
3K
Undergrad How deep does it need to go for a physics theory to be consistent?
  • · Replies 50 ·
2
Replies
50
Views
5K