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Homework 5, due October 7, 2009.
Posted: Wed Sep 30, 2009 2:21 pm
by goodwine
From the course text, problems 4.2, 4.6, 4.11 (part 1 only), 4.12, and 4.13.
4.6 has a typo. The frequencies in the two cos() functions should be omega_1 and omega_2.
You may use the ode45() function from Matlab for all the problems that ask you to write a program to determine an approximate numerical solution.
Re: Homework 5, due October 7, 2009.
Posted: Mon Oct 05, 2009 1:16 pm
by cplagema
I have a question about problem 4.2.
It says to "determine an approximate numerical solution," so are we supposed to actually find the equation x(t) by substituting in the given values, or are we just supposed to use Matlab to plot it? Also, are we supposed to find wn, xo and x˙o, since those values are not given?
Re: Homework 5, due October 7, 2009.
Posted: Mon Oct 05, 2009 2:30 pm
by goodwine
cplagema wrote:I have a question about problem 4.2.
It says to "determine an approximate numerical solution," so are we supposed to actually find the equation x(t) by substituting in the given values, or are we just supposed to use Matlab to plot it? Also, are we supposed to find wn, xo and x˙o, since those values are not given?
You are supposed to use ode45() in matlab to solve it.
Re: Homework 5, due October 7, 2009.
Posted: Mon Oct 05, 2009 10:20 pm
by mkiener
For Problem 4.12,
should we consider just the particular solution for x(t) (and therefore xdot(t) )?
Thank you
Re: Homework 5, due October 7, 2009.
Posted: Mon Oct 05, 2009 11:40 pm
by mkiener
Disregard the last post, I just received the email sent regarding problem 4.12
Re: Homework 5, due October 7, 2009.
Posted: Tue Oct 06, 2009 12:29 am
by ckrzysk1
In problem 4.11, what is the closed-form solution from Problem 4.3 into which we are supposed to substitute the given values?
Re: Homework 5, due October 7, 2009.
Posted: Tue Oct 06, 2009 12:44 am
by Apuente
For problem 4.12, it says to find the expression in terms of cos(omega*t + phi), and in the book there are two particular solutions - one in that form and one in the form of cos(omega*t + phi(hat) + psi). Which form should we use?
Re: Homework 5, due October 7, 2009.
Posted: Tue Oct 06, 2009 6:12 am
by goodwine
ckrzysk1 wrote:In problem 4.11, what is the closed-form solution from Problem 4.3 into which we are supposed to substitute the given values?
You determined it for last week's homework. I posted solutions for it.
Re: Homework 5, due October 7, 2009.
Posted: Tue Oct 06, 2009 6:13 am
by goodwine
Apuente wrote:For problem 4.12, it says to find the expression in terms of cos(omega*t + phi), and in the book there are two particular solutions - one in that form and one in the form of cos(omega*t + phi(hat) + psi). Which form should we use?
You can use either one. The extra phase shift term is in there only because we don't know where the bumpy road started. You can ignore it if you want.
Re: Homework 5, due October 7, 2009.
Posted: Tue Oct 06, 2009 7:51 pm
by jde98
For ode45() outputs do you want the tables handed in or just the plots?
Re: Homework 5, due October 7, 2009.
Posted: Tue Oct 06, 2009 7:52 pm
by goodwine
jde98 wrote:For ode45() outputs do you want the tables handed in or just the plots?
Just the plots. The tables won't mean anything to anyone.