Module for the study of Spring-Mass Systems

Numerical Methods for O. D. E.  using Mathematica. (c) John H. Mathews, 2003

Background. Consider the system of two masses and two springs with no external force.  

Visualize a wall on the left and to the right a spring , a mass, a spring and another mass.  The system of  D. E.'s is  

       

Example 1.  Find the general solution to the system of D. E.'s  and plot the solution curves.

       

More Background. Consider the system of two masses and three springs.  

Visualize a wall on the left and to the right a spring , a mass, a spring, a mass, a spring and another wall.  The system of  D. E.'s is  

      

Example 2.  Find the general solution to the system of D. E.'s  and plot the solution curves.

       

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