Finding an Equivalent Couple for the Forces in the Figure

Click For Summary
SUMMARY

The discussion centers on the concept of replacing a couple of forces with an equivalent couple acting at specified points A and B. The couple force moment equation, M = Fd, is critical for calculating the moment generated by the forces. Participants express confusion regarding the question's clarity and the marks allocated, suggesting that the question may be poorly worded. The consensus indicates that the equivalent couple should consist of opposite parallel forces through points A and B, maintaining the same moment.

PREREQUISITES
  • Understanding of couple force moment equations
  • Knowledge of force vectors and their application
  • Familiarity with the concept of equivalent forces in mechanics
  • Basic principles of static equilibrium
NEXT STEPS
  • Study the application of the couple force moment equation in various scenarios
  • Explore the concept of equivalent forces and their graphical representation
  • Learn about static equilibrium and its relevance in mechanics
  • Review examples of poorly worded physics problems and their resolutions
USEFUL FOR

Students studying mechanics, particularly those tackling problems involving forces and couples, as well as educators seeking to clarify complex concepts in physics.

mehsham
Messages
1
Reaction score
0

Homework Statement



The forces shown in the Figure below form a couple. Replace the couple shown with an equivalent couple acting at points A and B. Please see figure

Homework Equations



Couple force moment equation is M = Fd (take only one of the two force vectors and distance between them)

The Attempt at a Solution



Actually, I don't understand what they want. I was just going to do M = 15 lb x(12in) but this question is for 6 marks so I'm definitely missing something. Please advice if you know what this question means.

Thank you,
Faisal Shibli
 

Attachments

  • question.jpg
    question.jpg
    5.2 KB · Views: 447
Physics news on Phys.org
Welcome to PF!

Hi Faisal! Welcome to PF! :smile:
mehsham said:
The forces shown in the Figure below form a couple. Replace the couple shown with an equivalent couple acting at points A and B. Please see figure
…
… this question is for 6 marks so I'm definitely missing something. Please advice if you know what this question means.

The 6 marks do seem strange. :confused:

The question seems to be asking for a pair of opposite parallel forces through A and B …

which could be at any angle …

with the same Fd.
 
Looks to me like a badly worded and badly drawn question. My response was to have a couple at A and B with forces perpendicular to AB. I wonder if I would have passed.
 

Similar threads

Engineering Loads on a shaft with V-Belts
  • · Replies 2 ·
Replies
2
Views
3K
Equivalent force couple systems at a point on a rigid body
  • · Replies 1 ·
Replies
1
Views
4K
Equivalent force and couple moment
  • · Replies 2 ·
Replies
2
Views
3K
General equivalent couple - force system
  • · Replies 2 ·
Replies
2
Views
2K
Determine the resultant couple moment
  • · Replies 3 ·
Replies
3
Views
8K
Engineering Mechanics: Force couple
  • · Replies 2 ·
Replies
2
Views
3K
Answer: Find Moments & Reactions for Force Couple on Frame
  • · Replies 3 ·
Replies
3
Views
2K
Replacing column by equivalent force and couple
  • · Replies 3 ·
Replies
3
Views
3K
Inductance: Can L1 and L2 be replaced by an equivalent inductor in Figure 4(b)?
  • · Replies 4 ·
Replies
4
Views
2K
Engineering Statics - Determine the Reactions on this bent bar levering between two surfaces
  • · Replies 27 ·
Replies
27
Views
3K