Why Is Normal Force Not Equal to mg in Rotating Collar Problems?

  • Thread starter Thread starter kspabo
  • Start date Start date
  • Tags Tags
    Dynamics Rotating
Click For Summary

Discussion Overview

The discussion revolves around the concept of normal force in the context of rotating collar problems in physics. Participants explore why the normal force is not simply equal to the weight of the mass (mg) in these scenarios, particularly in relation to balancing forces and the geometry of the problem.

Discussion Character

  • Homework-related
  • Technical explanation
  • Conceptual clarification

Main Points Raised

  • One participant questions why the normal force can’t be assumed to equal mg, as they have done in previous problems, suggesting there is more complexity involved.
  • Another participant emphasizes that the normal force acts only in a direction perpendicular to the surface, indicating that without friction, the force exerted by the rod on the collar is limited to this normal direction.
  • A later reply points out the need to calculate the magnitude of the normal force vectorially, implying that its components must be considered to understand the forces at play.

Areas of Agreement / Disagreement

Participants express differing views on the application of normal force in this context, with some suggesting that a simple mg relationship does not hold, while others seek clarification on the problem specifics. The discussion remains unresolved regarding the exact nature of the normal force in this scenario.

Contextual Notes

Participants have not provided the full original problem statement, which may limit the understanding of the context. There is also a lack of clarity on the assumptions regarding the forces acting on the collar and the role of friction.

kspabo
Messages
19
Reaction score
0

Homework Statement


19623813-1fa9-48fb-8529-88df5ebdf8d8.png


Homework Equations


[/B]
Radial and Transverse coordinates to relate acceleration

Balancing forces

The Attempt at a Solution


f437be41-197a-4b06-a8dc-da2462402b08.png


I know that there is more to this problem, but my question is simple: Why don't we know what the normal force is? When I solved it myself I just set the Normal force to mass * gravity... why isn't this the case for this problem? All of the solutions I've found have them creating a relation between the X and Y force eqns. and setting them equal to solve. Why can't we just set N = mg as I was so used to doing?
 
Physics news on Phys.org
You haven't told us what problem you are trying to solve . Please post the original statement of the problem as given to you .
 
Nidum said:
You haven't told us what problem you are trying to solve . Please post the original statement of the problem as given to you .
My apologies, I completely forgot to include that part. Here it is:

c3IA3YY.png
 
N can only work in a normal direction (as the word normal force suggests :smile:) . Without friction, the only direction in which the rod can exercise force on the collar is perpendicular to the rod.
You have figured out the components of N, so you can add them up (vectorially) to get ##|\vec F_N|##.

[edit] no, sorry, you needed to calculate that |F| from its vertical component to get r.
 

Similar threads

  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 95 ·
4
Replies
95
Views
7K
  • · Replies 2 ·
Replies
2
Views
3K
  • · Replies 49 ·
2
Replies
49
Views
5K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 102 ·
4
Replies
102
Views
8K
  • · Replies 5 ·
Replies
5
Views
6K
  • · Replies 25 ·
Replies
25
Views
2K
  • · Replies 21 ·
Replies
21
Views
2K
Replies
3
Views
9K