Test 2 Review problem #2

[Rebecca Tippens]

Anyone know how the graphs for test 2 review problem 2b should look?

Thanks! :)

Becca

[Mitchell Walker]

Well, we are told that this is a "forced undamped oscillator" problem.
This type of problem was covered in 3.6 and he also did a variation of
this problem in Monday's review.

If you've already gotten through, and understand, 2a, then you'll see
we get multiple graphs, for when the frequency is and is not equal to
2. When the frequency is not equal to 2 you can get a regular
oscillation curve with an amplitude of 1 / [ (omega-naught)^(2) -
4 ] OR if the frequency is close to 2 then we get a curve with
"Beating"

Our second option of the frequency equaling 2 gives us an oscillating
while growing function (aka resonance).

This is what I've found. If anyone sees errors or has anything to add,
by all means. I hope this helps.

Good Luck,
Mitch

[Chad S]

I'm not sure you can say what the amplitude would be in point two
because you have to take into account xc -- c1 cos (w0 t) + c2 sin (w0
t)

[Amy Allen]

Since it is forced, the x c solution is transient so you should be able to ignore it as t=>infinity.

--
To unsubscribe, reply using "remove me" as the subject.

[Chad S]

Ohh, gotta remember that one, thanks ;)

On Mar 31, 12:50 am, Amy Allen <theinkstainedwre...@gmail.com> wrote:
> Since it is forced, the x c solution is transient so you should be able to
> ignore it as t=>infinity.
>