课程名称︰力学上 课程性质︰必修 课程教师︰陈俊玮 开课学院：理学院 开课系所︰物理系 考试日期（年月日）︰2009/11/9 10:20am ~ 2009/11/23 10:20am(take-home exam) 考试时限（分钟）：2 weeks 是否需发放奖励金：是 （如未明确表示，则不予发放） 试题 : ＊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 ( [email protected] ) 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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