- #1

- 34

- 1

## Main Question or Discussion Point

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.

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.