Preflight assignment 11
(Closed. Preflights are due at 10 AM on Tuesdays.
)
Welcome back from Spring Break, hope you are energized and ready for the rest of the semester!
Taylor argues on p. 182 that switching from cos(w t) (the "driving force" in Eq 5.57) to e^[i w t] (the driving force in Eq 5.60) is a big mathematical help in solving this ODE.
In your own words, why is that?
Taylor has a formula for resonance amplitude (5.71), and then plots it twice, once in Fig 5.16, and once in Fig 5.17. They look the same!? But there's a subtle difference.
Briefly, what is different about the two plots?
Can you give a physical example of a physical situation where Fig 5.16 would be the appropriate one, and
another
physical situation where Fig 5.17 would be more sensible to plot?
In one of the two plots discussed above, the maximum is NOT exactly at the point labeled under the peak (i.e. w in Fig 5.16, or w_0 in Fig 5.17)
Which curve is the one that's off? And, for that curve, is the peak a little to the LEFT, or a little to the RIGHT, of the labeled frequency?
Please submit a question you have about the reading assigned for the upcoming class. What seemed hard, was something confusing, what would you like us to spend class time on? If you can't come up with any question, how about a comment - (did anything strike you as interesting? )
Reminder
: the reading assignments are on
our course calendar
Thanks
for your time.