Hi
I used plot digitizer software to pull data points off a picture of a graph and i need to fit a line to the points (and get an equation for the line). I know the data points fit to an s-curve from the picture. I'm thinking excel doesn't do this, or maybe I missed it?
I have access to maple...
Well i ended up proceeding as i would in a constant mass problem and then just differentiating mass w/respect to time in the total time derivative. Which gave me the following diff equation:
\ddot{m}\ddot{x} + \dot{m}\dot{x} + kx + mg = F(t)
substituting in F(t),
\ddot{m}\ddot{x} +...
First, to make sure i have this right, lagrangian mechanics, when describing a dynamic system, is the time derivative of the positional partial derivatives (position and velocity) of the lagrangian of the system, which is the difference between the kinetic and potential energy of the system...