Solve Air Spring Equations for Walking System

  • Context: Undergrad 
  • Thread starter Thread starter ajal
  • Start date Start date
  • Tags Tags
    Air Spring
Click For Summary

Discussion Overview

The discussion revolves around modeling a walking system that utilizes an air spring, focusing on deriving the force equation from the potential energy equation associated with the air spring. The scope includes theoretical modeling and application of Newton's second law of motion.

Discussion Character

  • Exploratory, Technical explanation

Main Points Raised

  • One participant presents the potential energy equation for the air spring as U(x) = K/2 * (1/x^2 - 1/x0^2) and seeks assistance in deriving the corresponding force equation.
  • Another participant requests clarification on the term "walking system," questioning its meaning and whether it refers to a system that allows one to walk like a king or is the best among walking systems.
  • A subsequent post corrects a typographical error in the initial post regarding the phrase "king of walking system."
  • A participant introduces the relationship between force and potential energy, stating that F(x) = -dU/dx.
  • The original poster expresses gratitude for the assistance received.

Areas of Agreement / Disagreement

The discussion includes a mix of technical inquiry and clarification, with no consensus reached on the specifics of the walking system or the derivation process itself.

Contextual Notes

The discussion does not clarify assumptions regarding the parameters in the potential energy equation or the specific context of the walking system being modeled.

ajal
Messages
3
Reaction score
0
Hi,

I am modeling some king of walking system, and I need to use air spring. The one that is conventionally used (I think so) has an energy equation like:

U(x) = K/2 * (1/x^2 - 1/x0^2)

I am trying do derive the "force" equation for this air spring so I can use if with Newton's second law equations of motion.

Would you please help me with this. Thanks.
 
Physics news on Phys.org
Please explain this "king of walking system". Is it a system that allows you to walk like a king or is it the king of all "walking systems" (whatever a walking system is)?
 
:)) typo:

king of --> kind of
 
Force is connected with potential energy with this formula:

F(x)=-dU/dx
 
Thanks! Helped!
 

Similar threads

Graduate Decoupling of a spring mass system
  • · Replies 5 ·
Replies
5
Views
2K
Undergrad Spring balance analysis from a system point of view
  • · Replies 24 ·
Replies
24
Views
2K
Undergrad Work-Energy Theorem for Moving Block and Spring System?
  • · Replies 4 ·
Replies
4
Views
3K
Undergrad Questions about a spring and its principle
  • · Replies 9 ·
Replies
9
Views
3K
Undergrad How Does Air Resistance Relate to Hooke's Law?
  • · Replies 13 ·
Replies
13
Views
3K
Undergrad What is the Formula for Calculating the Length of a Hanging Spring?
  • · Replies 27 ·
Replies
27
Views
5K
High School Why is my experimental spring constant an order of magnitude off?
  • · Replies 4 ·
Replies
4
Views
2K
Undergrad Solving for the Motion of a Spring Pendulum
  • · Replies 76 ·
3
Replies
76
Views
8K
Graduate Equations of Motion for Torsional Inverted Pendulum on a moving cart
  • · Replies 2 ·
Replies
2
Views
2K
Undergrad Solving the Block-on-Spring Problem Using Forces
  • · Replies 11 ·
Replies
11
Views
5K