Homework for Friday, Oct 23.  (due in class on Friday).
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From the book, Problems:
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 3-27, 3-34
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And in addition,
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(In all this, The * means "times".   The ^ means superscript,  the _ means subscript .
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30) Consider an damped harmonic oscillator driven by the force
F_0*sin^3(wt).
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a) what is the expression for x(t) for this force? 
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b) For beta=.1 and w_0=1, roughly calculate and plot x(t) for w=w_0
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c) For beta=.1 and w_0=1, roughly calculate and plot x(t) for 3*w=w_0
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d) how do the maximum amplitude and the relative phase between the force and
the response compare for these two driving frequencies?  (extra credit)
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31) Consider an damped harmonic oscillator driven by the force
which is F_0*t for -T/2 < t < T/2 and is periodic such that F(t+T)=F(t)
for all t .   (T is the period)
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a) what is the expression for x(t) for this force? 
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b) For beta=.1 and w_0=1, roughly calculate and plot x(t) for w=w_0
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c) For beta=.1 and w_0=1, roughly calculate and plot x(t) for 3*w=w_0
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d) how do the maximum amplitude and the relative phase between the force and
the response compare for these two driving frequencies?  (extra credit)
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