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tburke2
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Homework Statement
I'm given a driven, dampened harmonic oscillator (can it be thought of as a spring-mass system with linear friction?) Is it possible to solve the equation of motion using Lagrangian mechanics? I could solve it with the usual differential equation x''+βx'+ωₒ²x=fₒcos(ωt) but as we have just started learning Lagrangian in class I'd like to do it that way.
Homework Equations
x''+βx'+ωₒ²x=fₒcos(ωt)
The Attempt at a Solution
I know how to do it with an undampened, undriven spring-mass system but am unsure how to include the energies for the driving force and damping force.
For undampended and undriven:
L= 1/2mx'² - 1/2kx²