What is the Significance of Line of Action of Force?

  • Thread starter Thread starter logearav
  • Start date Start date
  • Tags Tags
    Force Line
Click For Summary
SUMMARY

The discussion centers on the concept of the line of action of forces in physics, specifically addressing the differences between forces f1 and f3, which are equal and opposite but have different lines of action, and forces f2 and f4, which are equal and opposite with the same line of action. The confusion arises from the representation of these forces in diagrams, where the first diagram lacks clarity in depicting 3D space. The resolution emphasizes that while f1 and f3 appear to act outward in one diagram, they are indeed perpendicular to the magnetic field (B field) as illustrated in the second diagram. The key takeaway is that the line of action is crucial for understanding force interactions in different orientations.

PREREQUISITES
  • Understanding of Newton's Third Law of Motion
  • Familiarity with magnetic fields and forces
  • Basic knowledge of vector representation in physics
  • Ability to interpret 2D and 3D diagrams in physics
NEXT STEPS
  • Study the principles of vector addition in physics
  • Learn about the right-hand rule (LHR) in electromagnetism
  • Explore the concept of torque and its relation to lines of action
  • Investigate the effects of different orientations of forces in magnetic fields
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and electromagnetism, as well as educators seeking to clarify concepts related to force interactions and diagrams.

logearav
Messages
329
Reaction score
0

Homework Statement



http://www.xamidea.in/cbse-examination-guide.aspx?q=3&c=67&t=10000638&info=title

Homework Equations



Dear members,
In this link, forces f2 and f4 are equal and opposite but they have same line of action
forces f1 and f3 are also equal and opposite but they have different line of action.
I don't understand how f1 and f3 have different line of action and f2 and f4 have same line of action, because both in both cases forces are equal and opposite
Please help me understand this concept of line of action of force, revered members

The Attempt at a Solution


 
Last edited by a moderator:
Physics news on Phys.org
The problem I think you have is because the first image is a little confusing since it doesn't give any feeling of 3d space. You must consider both figs and apply the LHR you can see that both F1 and F3 are parallel and both perpendicular to the B field but they are not doth on any single line perpendicular to the B field.They do not act on the same line except when the B field is perpendicular to the plane of the loop.
 
Sir, Thanks for the reply. I got it 80 % now, after re reading your reply. But one more doubt, that is, the second diagram shows F1 and F3 in upward and downward directions but in the first diagram, they are projecting outward to the sides of the loop. Why such a difference between the first and second diagram.
 

Attachments

  • image083.jpg
    image083.jpg
    8.2 KB · Views: 567
  • image084.jpg
    image084.jpg
    9 KB · Views: 609
"but they are not DOTH on any single line perpendicular to the B field.They do not act on the same line except when the B field is perpendicular to the plane of the loop."

I don't understand this line of your reply sir. What do u mean by DOTH?
 
logearav said:
Sir, Thanks for the reply. I got it 80 % now, after re reading your reply. But one more doubt, that is, the second diagram shows F1 and F3 in upward and downward directions but in the first diagram, they are projecting outward to the sides of the loop. Why such a difference between the first and second diagram.

There isn't any difference. The first diagram shows you the loop from the side of the loop ,you are looking towards the yz plane. The second shows you the loop at the same time from above ,you are looking at the xy plane. The problem is that the first diagram makes F1 and F3 look like they are not perpendicular to the B field. This is not what happens, the forces are always perpendicular to the B field and the current.It is just a bad diagram with no axes. .

logearav said:
What do u mean by DOTH.
Sorry it was a typo,I meant "BOTH".
 
Thanks a lot sir. What a beautiful explanation! I wonder why my physics teacher does not know all these things. Thanks again sir.
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

Similar threads

Replies
30
Views
4K
  • · Replies 6 ·
Replies
6
Views
1K
  • · Replies 5 ·
Replies
5
Views
3K
  • · Replies 5 ·
Replies
5
Views
4K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 4 ·
Replies
4
Views
5K
  • · Replies 6 ·
Replies
6
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 14 ·
Replies
14
Views
3K
Replies
8
Views
992