Engineering Mechanics: Notation question

Click For Summary
SUMMARY

The discussion clarifies the calculation of moments in engineering mechanics, specifically regarding the notation used for the moment equation. The equation Moment = r (m/n) * F indicates that r (m/n) represents the vector from point N to point M. The direction of this vector must be perpendicular to the applied force, which, if applied along the y-axis, necessitates a moment direction along the x-axis. The moment is ultimately calculated using the vector cross product, expressed as M = rn/m x F, where the subscripts denote the application and reference points.

PREREQUISITES
  • Understanding of vector notation in physics
  • Familiarity with the concept of moments in mechanics
  • Knowledge of cross product operations
  • Basic principles of force application in three-dimensional space
NEXT STEPS
  • Study vector cross product calculations in detail
  • Explore the application of moments in static equilibrium problems
  • Learn about the implications of force direction on moment calculations
  • Review engineering mechanics textbooks focusing on moments and forces
USEFUL FOR

Students and professionals in engineering mechanics, particularly those studying statics and dynamics, as well as anyone involved in mechanical design and analysis of forces and moments.

CivilSigma
Messages
227
Reaction score
58
In a problem involving moments where we have a 2 point is space: m and n.
We want the moment about M due to a force applied at N.
We know the equation is Moment = r (m/n) * F

So, does r (m/n) represent the (x,y,z) coordinates from the point N to M or M to N?
 
Physics news on Phys.org
The direction has to be perpendicular to the applied force. So, if the force is applied along the y axis, the direction should be in x axis. Hope that helps.
 
The calculation of a moment is usually done in vector (cross product) form,
M = required moment (a vector)
= rn/m x F

Note that, in the subscript on r, the first item is the point where F is applied while the second is the reference point for the moment.
 

Similar threads

  • · Replies 6 ·
Replies
6
Views
2K
  • · Replies 8 ·
Replies
8
Views
3K
  • · Replies 2 ·
Replies
2
Views
3K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 14 ·
Replies
14
Views
3K
  • · Replies 2 ·
Replies
2
Views
3K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 1 ·
Replies
1
Views
3K
  • · Replies 1 ·
Replies
1
Views
1K
  • · Replies 9 ·
Replies
9
Views
3K