Equilibrium

Written by Jerry Ratzlaff on . Posted in Classical Mechanics

  • equilibriumEquilibrium is when all the net external forces that act upon an object are balanced.  This does not mean all the forces are equal to each other.  If the net force is zero, then the net external forces in any direction is zero.  Any object that is at rest is in equilibrium.

\(\large{  F_{net} = 0  }\)

Distance from Equilibrium Formula

\(\large{ x =  x_0  - \frac{ F }{ k_s }   }\)

Where:

\(\large{ x }\) = distance from equilibrium

\(\large{ F }\) = force

\(\large{ k_s }\) = spring force constant

\(\large{ x_0 }\) = spring equilibrium position

Spring Equilibrium Position Formula

\(\large{ x_0 =  \frac{ F }{ k_s }  + x }\)

Where:

\(\large{ x_0 }\) = spring equilibrium position

\(\large{ x }\) = distance from equilibrium

\(\large{ F }\) = force

\(\large{ k_s }\) = spring force constant

 

Tags: Equations for Force Equations for Spring Types of Force