- #1
GreenLRan
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Homework Statement
A particle of mass m is suspended between two springs, each of spring constant k. In equilibrium position each spring is horizontal and has length L. The springs can swivel in the x,y plane as well as stretch or contract. Treating this as a two dimensional problem and ignoring gravity, write the Lagrangian for the system and find the equations of motion.
Homework Equations
L=T-U, (d/dt (pL/px')) - pL/px =0 T= kinetic energy, U= potential energy, p= partial derivative symbol, '= prime symbol
The Attempt at a Solution
I set T= 1/2*m*x'^2, U= -2*(1/2*k*Δx^2),
then deriving the equations of motion I got mx''+2kΔx=0 and my''+2kΔy=0 (wrong answer)
(I'm not sure if there are supposed to be two equations)
Thanks!