15. one point, from Lecture 15, short answer and diagrams

(a) .2 Harmonic Motion. Give two examples of harmonic motion and say how each illustrates at least one property of harmonic motion. That means you'll have to say what each property of harmonic motion is. I want two properties illustrated here, and it could be that both examples illustrate both properties. (.2)

(b) .2 Chaotic Motion. Give two examples of chaotic motion and say how each illustrates at least one property of chaotic motion. That means you'll have to say what each property of chaotic motion is. I think I mentioned five properties in the lecture, but you only need two here. (.2)

(c) .4 Phase Space. Define phase space. (.1)
Draw the phase space diagram for a simple pendulum. Be sure you label your diagram. (.2)
What kind of phase space diagram does chaotic motion have? Don't try to draw it! (.1)

(d) .2 Fractals. Define what is meant by (.1) and draw an illustration of ``fractal dimension.'' (.1)

Revised October 8, 1997.