### Plane Pendulum

Consider the simple pendulum simulated above. By varying the initial angle and the
initial y velocity of the pendulum bob, explore the phase diagrams traced out in the panel on the
right. In your own words, try to briefly explain what a phase diagram is and what it represents.
What kinds of motions of the plane pendulum correspond to the different curves/shapes on the phase
diagram? How does the phase diagram change when the pendulum is damped?