[試題] 98上 陳俊瑋 力學上 期中考

[tphyst (ㄙㄨㄙㄨ)]

課程名稱︰力學上
課程性質︰必修
課程教師︰陳俊瑋
開課學院：理學院
開課系所︰物理系
考試日期（年月日）︰2009/11/9 10:20am ~ 2009/11/23 10:20am(take-home exam)
考試時限（分鐘）：2 weeks
是否需發放獎勵金：是
（如未明確表示，則不予發放）

試題 :

＊If you cannot turn in your answers in person on Nov. 23,please scan your
  answers and emailthem to TA Yu-Hang Chen and cc Fu-Yuang Jeng

Write as much as you can.You will get points by writing down your thoughts even
they might not be completely correct.You can send me emails
( [e-mail] ) for questions.I will answer them on the course website.

1.) (20 points) Redo example 3.7(p.136) of the text book but with different
initial condition: x(t=0)=0 and dx/dt(t=0)=-F0/(mω1). (This is to test whether
you understand what initial conditions do.)

2.) (20 points) Try to understand Figure 4-14,4-15 and 4-16 by solving the
equation m(d^2x/dt^2)=-γ(dx/dt)+F(x)+F0cos(ωt),with F(x) defined in Eq.(4.37)
(This is to test whether you can find your own answers using mathematica.)

3.) (30 points) Write an essay(in English,typed,less than 3 pages) about the
magnificent Taipei 101 damper.Explain the physics behind it. Make a theoretical
model(and solve it,using mathematica is OK) to explain how it works.(Try to
start from a simple model with a single oscillator then make it more
complicated later on.It is interesting that somehow talking about the 728 ton
steel ball(the damper) is  more impressive than the single pendulum or spring
in our class...)

4.) (30 points)Write an essay(in English,typed,less than 3 pages) to summarize
the current status of the field of chaos and non-linear dynamics,or you can
just write about something cool in chaos.(This is to see how far you can go in
one to two weeks... You will be surprised by the result.)

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