Project

Use the fourth order Runge Kutta algortihm to solve the equation of the realistic pendulum.

• Plot the angular displacement and the angular velocity for different initial values, corresponding to different amplitudes.
• Devise an algortihm to determine the period of the oscillation and make a plot period vs. amplitude.
• Change your program to find the potential, kinetic and the total energy of the pendulum. Verify that the total energy remains constant and show how kinetic and potential energy depend on the amplitude of the pendulum.

You can view a plot showing a typical result to expect from your investigation.

Or you can create plots for this physical system using our code and plotting routine.