(I had made a thread with a problem similar to this one, but it turned a bit messy after finding out the professor made some mistakes and the wording of his problem was awkward ... however, this is it)
Problem:
Differential equation governing a forced, mass-spring system...
blochwave, I fully understand what you are telling me, and it is the method I tried at first right after I solved the diff. eq.
The equations above is X'(t) set equal to 0.
So I plug in, say, 1.9. Then what?
I don't know how to solve it mathematically, but apparently the max is 2.45.
As w...
Hey blochwave:
if you could please explain to me how to solve:
\frac{0.04*\omega}{4 - \omega^{2}}*sin(\omega * t) = 2*\left(\frac{0.04*\omega}{4 - \omega^{2}}-2.45\right)*sin(2*t)
\omega = 1.5, 1.9, 3, as the problem asks me.
Well yeah, problem is that then you'll have something like
-Sin(1.5t) = Sin(20t)
if we let ω = 1.5 and not all waves have the same amplitude. Or, well, the amplitude will be pretty much constant unless ω gets close to 20.
Homework Statement
You have a forced, mass-spring system, without damping.
Spring constant = 4 N/m
weight of mass = 9.8 N
mass = 1 Kg
Find the motion X(t) of the mass if ω = 1.5 (Hz) and deduce the
maximum elongation of the spring. Sketch the vibrations X(t). Do same for ω = 1.9, 3.
Find...
Try to read this "tutorial" entirely to get a hold of how regular expressions work and how to apply them:
http://www.regular-expressions.info/tutorial.html
In fact, right in the first page they show you an example of an email pattern
\b[A-Z0-9._%+-]+@[A-Z0-9.-]+\.[A-Z]{2,4}\b
I found this book to be a really nice intro to ASM:
https://www.amazon.com/dp/0471732788/?tag=pfamazon01-20
You'll have fun developing the "DIY calculator".
Hi, I'm barely a high school senior who is somewhat overwhelmed by a univ. course.
Anyway, we are just learning to solve some basic PDEs using the method of separation of variables.
With this method (and the questions we are given) we check three cases to find the eigenvalues of Sturm-Liouville...