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Mechanical Vibration/Lagrange form Applied
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Why Use Lagrange Form?
The largest benefit of using the Lagrange form is the deriving the equation of motion is easier for complex systems.
To start out we will start out applying the Lagrange formulation on a spring and mass system defined within the givens.
We will
Determine the equation of motion
Plot the equation of motion
Givens
Lagrangian Form \& Energy Equations
where T equals the kinetic energy of the system
and
U equals the potential energy in the system.
or
work
The derivative of dT with respect to x is: