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Spring Mass system where springs also have mass

  • Thread starter sleventh
  • Start date
  • #1
64
0
hello all,
this will be my third time posting this question, i thought perhaps posting in the homework section might have it be answered. Recently I have been attempting to model a spring system (see below) where the springs themselves will have mass. I should know how to do this but i accept defeat, how do you model the potential energy and force system on two masses connected to three springs? I have read about effective mass but i fail to fully understand. Thank you all for the celerity.
_
\
/
\
[M1]
/
\
/
[M2]
\
/
_\_

In this design the spring system is vertical and grounded on both ends. Many thanks!
 

Answers and Replies

  • #2
rock.freak667
Homework Helper
6,230
31
well the potential would just be mgx+ 1/2k(x+δ)2 if you plan to use Lagrange's equations to get your equations of motion.

The center of mass of the spring would move down the distance x as well as the mass m.
 

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