Replace with equivalent force-couple system?

  • Thread starter Thread starter SUCRALOSE
  • Start date Start date
  • Tags Tags
    Equivalent System
Click For Summary
SUMMARY

The discussion focuses on the process of replacing a force with an equivalent force-couple system, specifically a 5 kN force at point O and a 500 N force at point B. The key formula used is C = r × F, where r is the position vector from the point of interest to the point of force application, and F is the applied force vector. The calculation for the moment created by the force is expressed as C = r_x * F_y - r_y * F_x. This method is essential for analyzing static equilibrium in mechanics.

PREREQUISITES
  • Understanding of static equilibrium principles
  • Familiarity with vector mathematics
  • Knowledge of force and moment concepts
  • Basic mechanics of materials
NEXT STEPS
  • Study the application of the cross product in mechanics
  • Learn about static equilibrium conditions in rigid body analysis
  • Explore the concept of couples in physics
  • Review examples of force-couple systems in engineering problems
USEFUL FOR

Students of engineering mechanics, physics enthusiasts, and professionals involved in structural analysis or mechanical design will benefit from this discussion.

SUCRALOSE
Messages
12
Reaction score
1
Replace with equivalent force-couple system??

My book has one page on this and I do not understand what they want...

Please see attached picture for problems..

First one, left side, says replace the 5KN force with an equivalent force-couple system at O.

and

The second one says to replace the 500N force with a equivalent force-couple system at B.

Thanks a lot
 

Attachments

  • this.png
    this.png
    6.5 KB · Views: 788
Physics news on Phys.org


I think what you want is C = rXF where r is the vector from the point in interest to the point where the force acts and F is the applied force vector.

C = r_x*F_y - r_y*F_x

See, "What is a couple?"

In

http://plus.maths.org/content/unspinning-boomerang
 

Similar threads

  • · Replies 9 ·
Replies
9
Views
3K
  • · Replies 12 ·
Replies
12
Views
1K
Replies
3
Views
5K
Replies
1
Views
2K
  • · Replies 6 ·
Replies
6
Views
1K
Replies
17
Views
2K
Replies
5
Views
1K
  • · Replies 4 ·
Replies
4
Views
4K
  • · Replies 25 ·
Replies
25
Views
2K
Replies
4
Views
2K