Recent content by yngstr

Thanks. I've already written down my kinetic energy density and my potential energy density, but I need the relationships between X' and Y' to get the Lagrange Density down to one coordinate. KE =Integral of : (1/2)*mu*(Xdot^2) dy + (1/2)*mu*(Ydot^2) dy PE = Integral of: mu *g* Y' dy (tex...

I had posted this in Advanced, but it got moved. It seems that I have to find some sort of relationship between X and Y, but I'm not sure how to do this...it isn't a simple geometric relationship is it?

Hmm, I'm fairly certain this is not the case. My ultimate goal is to construct a Lagrangian Density, and the displacement from equilibrium occurs at a point on the rope that is not the at the end points. X and Y are functions of time and displacement along the rope too, it's field theory...

Homework Statement Find the potential energy density of a hanging string of mass density m/L that has been displaced from equilibrium at a point a distance d up from the bottom of the string. This point is displaced a distance X in the x direction, and a distance Y in the y direction. The...

Homework Statement All surfaces are frictionless, pulley is massless. What force, F is needed so that m3 does not rise or fall? Picture attached Homework Equations F=ma The Attempt at a Solution Found acceleration of system by dividing F by all three masses. Found...