#Final Project: Stabilized Pendulum ###Physics 2200 Fall 2014

Professor Rozman

Patrick Malloy 12/14/14

Calculates the oscillation of a rigid inverted pendulum stabilized by vibaration of the base. Utilized to find critical transition frequency that makes the inverted pendulum stable. Outputs plot of results.

Omega such that the inverted pendulum is stable was found to be approximately 144.72.

Omega and initial angle can be edited by changing omega and phi_init in the main "pendulum.c" program.

Commands

• ./pendulum: prints raw data
• make pendulum.png: makes graph
• make clean: Removes extraneous code files
• make veryclean: removes executable, log and .png file

Plots

Stable- For Omega = 144.72 and above

![Stable] (https://raw.githubusercontent.com/pmalloy2200/final-pendulum/master/pendulum-stable.png)

Unstable- For Omega = 144.71 and below

![Unstable] (https://raw.githubusercontent.com/pmalloy2200/final-pendulum/master/pendulum-unstable.png)