MATH 2250 § 2 | SECOND LAB ASSIGNMENT | Oct. 22, 2002 |

A. Treibergs | Due Nov. 8, 2002 |

- Read the description of the second lab assignment. Here you will find a film clip of the
collapse of the Tacoma Narrows Bridge. You will also find two models that attempt to describe the motion
of the bridge. Although our lab shall be concerned with the simpler forced oscillation models of the
spring-mass and spring-dashpot-mass systems, at least you will get a feel for how these models can be
extended into more realistic models of an oscillating bridge.
`http://www.math.utah.edu/~korevaar/2250fall02/tnarrows/``http://www.math.utah.edu/~gustafso/tnarrows/index.html` - More discussion of the undamped free oscillation equation, the forced undamped oscillation equation
which exhibits resonance and blowup, the damped forced oscillation equation and its frequency response
curve is available in my tutorial.
`http://www.math.utah.edu/~treiberg/M2280L3.mws` - Do all parts of problems 2.1-2.4. Remember, that this is a lab writeup whose purpose is to show
how the computer plays a role in solving problems. It is not just an exercise in running somebody's code.
Please make your writeups SELF-CONTAINED. This simply means that for each problem you would include a
sentence or two stating what the problem is about, how it differs from the other problems and your
conclusions. Explain any intermediate computation. For example, before you make the computation that
shows that your system is overdamped, you would say that you are checking for overdampedness and state
what the condition is. You can use the templates, provided that they're suitably enhanced. It is
perfectly OK to write by hand on your output. Or use MAPLE's capability of inserting comment text.

- Each of the problems will be worth 20 points. If you wish, but this is strictly
optional, you may do problems 2.5 and 2.6. These will be worth 10 extra credit points apiece.