Oscillating Inverted Pendulum and Applications

In order for a pendulum to be stable at the upward position, its base needs to be oscillating vertically at a high enough frequency. By studying the stability of an inverted pendulum using different mathematical and physical models, it is possible to find the frequency at which stability occurs when the pendulum is at an upward position. The project focuses on the calculations of the frequency of the oscillations using these well know models, comparing those calculations to the test results, and also introducing the focus of the next phase of the project: studying the stability of a charged pendulum.