Understanding Hooke's Law: Confusion with F=ks and F=-ks Explained

  • Context: High School 
  • Thread starter Thread starter david98999
  • Start date Start date
  • Tags Tags
    Hooke's law Law
Click For Summary

Discussion Overview

The discussion revolves around the interpretation and application of Hooke's Law, specifically the equations F = -ks and F = ks. Participants express confusion regarding the contexts in which each form of the equation is applicable, particularly in relation to the direction of force and displacement in spring systems.

Discussion Character

  • Conceptual clarification, Debate/contested

Main Points Raised

  • One participant asserts that Hooke's Law is represented as F = -ks, indicating that the spring force is proportional and opposite to the displacement from the equilibrium position.
  • Another participant questions the use of F = ks in certain textbook problems, seeking clarification on when this form is appropriate.
  • A different contributor suggests that the sign of the force can be misapplied if the definitions of force and distance are not aligned correctly, which can lead to confusion.
  • It is noted that the minus sign in F = -ks is crucial for determining the direction of the spring force, but it should not be applied without understanding the context.

Areas of Agreement / Disagreement

Participants express differing views on the application of the equations, with no consensus reached on when to use F = ks versus F = -ks. The discussion remains unresolved regarding the specific contexts for each equation.

Contextual Notes

There are indications of potential confusion stemming from the definitions of force and displacement, as well as the implications of the sign in the equations. The discussion does not clarify these aspects fully.

david98999
Messages
17
Reaction score
1
I am new here and I hope I posted this in the right place.

I understand that Hooke's Law is F=-ks
which states that the spring force is directly proportional but opposite to the difference of the distance from the stretched length of the string and the equilibrium length of the string.

I just have this confusion with my textbook in which there are Hooke's law problems which have been solved using f=ks where the sign of k is not negative and the force sign is also positive.

My question is : with what problems relating to hooke's law would I use F=ks instead of F= -ks?

I hope that I have followed the correct rules with posting this query.

I would appreciate any respone . Thank you.
 
Physics news on Phys.org
my textbook is physics for scientists and engineers Pearson Randall D Knight 3rd edition
 
I don't have that textbook, but you can get the sign wrong if you define force and distance in opposite directions. Something you should not do because it leads to confusion.
 
  • Like
Likes   Reactions: david98999
david98999 said:
My question is : with what problems relating to hooke's law would I use F=ks instead of F= -ks?
The purpose of the minus sign is to tell you the direction of the spring force. Use it to figure out the direction, but don't blindly apply the minus sign.
 
  • Like
Likes   Reactions: david98999
thank you for your help doc al and mfb .I really appreciate it
 

Similar threads

  • · Replies 13 ·
Replies
13
Views
2K
  • · Replies 30 ·
2
Replies
30
Views
3K
  • · Replies 6 ·
Replies
6
Views
3K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 23 ·
Replies
23
Views
5K
  • · Replies 2 ·
Replies
2
Views
11K
  • · Replies 13 ·
Replies
13
Views
5K
  • · Replies 7 ·
Replies
7
Views
2K
  • · Replies 12 ·
Replies
12
Views
3K
  • · Replies 6 ·
Replies
6
Views
2K