(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Two masses [tex]m_1[/tex] and [tex]m_2[/tex] are connected by a string passing through a hole on a smooth table so that [tex]m_1[/tex] rests on the table surface and [tex]m_2[/tex] hangs suspended. Assuming [tex]m_2[/tex] moves only in a vertical line determine the generalized coordinates for the system. Find the Lagrangian and find the Lagrangian Equations.

3. The attempt at a solution

I began by defining [tex]l[/tex] to the length of the string. I also assumed [tex]m_1[/tex] moved only along the x-axis. Thus the coordinates of [tex]m_1[/tex] are simply [tex]l_1[/tex] and the coordinates of [tex]m_2[/tex] are [tex]l_2[/tex] where [tex]l = l_1 + l_2[/tex]. Are these the correct generalized coords? Determining the velocities (if these are the correct coords) is trivial and thus the lagrangian is also easy to calculate. My difficulty is with determing the coordinates. Thanks for your help!

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Lagrangian of System:

**Physics Forums | Science Articles, Homework Help, Discussion**