Homework Statement
Ok so this satellite is orbiting the earth. The position vector is r = -0.707i + 0.707j + 0k and velocity vector is v = 0i + 0.5j + 0k. To find Vo (the angle between vector n and e), my book said the formula to use is arccos{(e dot r)/(|e||r|)}. However, I got 98 degree by...
Hello guys! Is it possible to convert a natural frequency to resonant frequency with maybe some kind of formula? I was given a transfer function and I was asked to draw a root locus plot and determine the resonant frequency. I know how to get the damping ratio and natural frequency and the value...
I know the transfer function = Laplace{output}/Laplace{input}, while gain = output/input, but why is that matter? The ratio will still be the same (or is it?).
And if there is a distinct different, is the result of the mason's formula using signal-flow graph a gain or a transfer function...
Homework Statement
http://img832.imageshack.us/img832/7517/captureax.jpg
According to the solution, the cutoff frequencies are 1, 20, 80, 500 and 8000. I don't understand how to get those answers by inspecting the plot.
Homework Equations
None
The Attempt at a Solution
I think the...
Homework Statement
What is the transfer function described by this bode plot:
http://img96.imageshack.us/img96/4775/capturegib.jpg
*The answer is 3s, but I don't know where it comes from.
Homework Equations
None
The Attempt at a Solution
Correct me if I am wrong. A bode plot is a...
Homework Statement
Hi, guys. I am watching this guy on youtube explaining block diagram of close and open loop system. While I understand how a close-loop transfer function is equals to C(s)/R(s) = G(s)/{1+G(s)H(s)}, I don't quite understand how the transfer function of an open-loop system...
I understand that a linear relation needs to satisfy both the property of superposition and homogeneity. Y(x)=mx+b does not satisfy both property at the same time yet any equations in this form are called a "linear function" and it is used in linear approximation.
For example, sin(x), which is...
Homework Statement
I took differential eq-n class more than a year ago and I am having problem solving this problem.
5(d^3y/dt^3)+3(d^2y/dt^2)+7(dy/dt)+y = 4(d^2f/dt^2), where f(t)=cos(t)-2sin(t)
Homework Equations
none
The Attempt at a Solution
First thing I did was to take the...
Hi guys. I got stuck in this problem and I am wondering anyone can help.
Homework Statement
For the the linear system describe by d^2/dt^2 y(t) + (5)d/dt y(t) + (6)y(t) = f(t),
where f(t) is the input to the linear system, and the solution to the differential equation is the response of...
Signal flow graph, describing a RC circuit?
Hi, guys. This is my first post on this forum!
I'm trying to understand this example in my textbook.
The current and voltage equations are:
where G=1/R, Z(s)=1/Cs, and I1(s)=I1
Then the text says the following signal flow graph can be obtained:
And...