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Spring mass system with applied force kinetic energy

  1. May 17, 2009 #1
    I'm trying to work out a model for a spring mass system with a force acting at the centre of mass of the mass using Lagrangian mechanics. I can't work out the kinetic energy. I know the kinetic energy [tex]\text{KE}=\dfrac{1}{2}mv^2[/tex]. I also have [tex]W=\int_a^b F \, dt[/tex].
    Should I use [tex]\Delta \text{KE} + \Delta \text{PE} =W[/tex]

    Some help will be appreciated.

    P.S. I'm using Lagrangian mechanics because later I'm planning some calculations on double spring systems with applied force.
     
  2. jcsd
  3. May 17, 2009 #2
    W = [tex]\int[/tex] [tex]\vec{F}[/tex] [tex]\cdot[/tex] [tex]\vec{dx}[/tex]

    The expression you had was for Impulse not Work
     
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