A NUMERICAL APPROACH TO A HANGING SPRING-MASS-PENDULUM SYSTEM**
A system with a hanging mass at the end of a spring, which is able to move freely in the angular and radial direction is considered here. We first find the Lagrangian of the system to obtain the equations of motion, and then apply the Euler-Cromer Method for a numeric solution. We then compare this solution to Matlab's ODE solver as well as other solutions produced through strategic assumptions. We use these approximated equations to check the validity of our results by comparing with equations more easily understood. The purpose is to observe the behavior of the system relative to the behavior of simpler systems.
Patterson-Goss, Zachary C. and Hasbun, Javier Dr.
"A NUMERICAL APPROACH TO A HANGING SPRING-MASS-PENDULUM SYSTEM**,"
Georgia Journal of Science, Vol. 77, No. 1, Article 113.
Available at: https://digitalcommons.gaacademy.org/gjs/vol77/iss1/113