A system is a group of interacting or interrelated elements that act according to a set of rules to form a unified whole. A system, surrounded and influenced by its environment, is described by its boundaries, structure and purpose and expressed in its functioning. Systems are the subjects of study of systems theory.
Homework Statement
continuous time LTI system is given with differential equation y'(t) + 5y(t) = 10u(t)
a) Find transfer function of system and determine is it stable or not.
b)Find frequency characteristics (amplitude and phase angle) of given system
c) Find impulse response using Laplace...
Hi all,
I'm stuck on progressing a problem i have received some feedback around as detailed below. I would greatly appreciate some assistance, and thank you in advance for your time and contributions.
So i have a linear system:
Which is row reduced to:
I have identified that the system has...
Please give examples of systems where the state evolves deterministically according to the Schroedinger equations where there are not yet measurements that can produce probabilistic outcomes.
I'd like to understand how big the systems can get where you can still entangle with the systems...
Looking for software for drawing biological processes and pathways between cells or even tissues. I have engineering/programming/control systems experience so I am looking for something similar in biology.
The ability to define different things, different colors or shapes would be good, I...
1. For the mechanism shown in FIGURE 1 determine for the angle
θ = 45°:
(i) the velocity of the piston relative to the fixed point O (VBO)
(ii) the angular velocity of AB about point A (i.e. ωAB)
(iii) the acceleration of point B relative to A (aBA).
(b) Determine the value of the angle θ...
Hi !
I'm having a bit of trouble understanding something.
Let 'u' be internal energy, 'h' enthalpy, 'e' work and 'q' heat. ('r' are dissipations and 'S' entropy)
From a book , i read that de+dr=PdV= -du + TdS
This seems to stand for closed cycle.
Yet, my teacher uses the formula
de+dr=vdP=...
I would like to discuss here some points from the article Martin Swaczyna Several examples of nonholonomic mechanical systems Communications in Mathematics, Vol. 19 (2011), No. 1, 27--56
This article is available at https://eudml.org/doc/196963
Let us open page 37:
This is a classical problem...
I am a undergraduate student of engineering and I'm planning to go for Master's in physics department.
I've watched some websites of research faculty or groups and I think (correct me if I'm wrong ;) there are main theoretical and experimental fields of these:
- Elementary particles
- Condensed...
Hello,
I have been going over the above topic and have a question about the neutral point of a balanced wye configuration. Would the line to line voltage remain constant? I am trying to picture two sine waves 120° apart and it's making me think the Va would be reducing as Vb was increasing at...
Given the two systems below for an ##m \times n## matrix ##A##:
(Sy 1): ##Ax = 0, x \geq 0, x \neq 0##
(Sy 2): ##A^Ty > 0 ##
I seek to prove: (Sy 1) is consistent ##\Leftrightarrow## (Sy 2) is inconsistent.
I figured out how to prove Q ##\Rightarrow ## P by proving the contrapositive...
Hi.
I am an undergrad student taking a course on dynamical systems. Our final assignment is to find and study a dynamic system (not necesarily mechanic, but chaotic, natually).
I was wondering if there is experenced people in this community that could help me find an interesting system or...
Hi
I have a bachelor in mathematics with a minor in physics, and my plan for the future is to move on to computational science and robotics. However, before I can do that, I need to work a few years due to bad personal finance.
In my city, the easiest route is programming. I already knew...
Homework Statement
How to show a block diagram can be simplified to a standard first order form for the diagram shown in the image attached and the question is shown in 1.a
Homework Equations
Standard first order form K/(1+tD) where K gain and t is time constant
The Attempt at a Solution...
I was just wondering if the quantum Zeno effect can be applied to macroscopic systems. It's applies to microscopic systems such as atoms but how about macroscopic systems like the universe?
Could you recommend books which covers extensively numerical simulation of quantum system, such as hubbard model, ising model and discuss quantum monte carlo method? Ideally this is a book of condensed matter physics.
I wasn't sure into which category I should post this, so feel free to move it into a more appropriate place.
As part of my work I'm solving a system of nonlinear equations, of a usual form:
$$\vec{F}(\vec{X})=\begin{pmatrix}F_1(X_1, X_2, \cdots X_N) \\ F_2(\cdots) \\ \vdots \\...
I need websites or books that has quantum mechanical exercises in particular that finds the total angular momentum eigenvalues (for example two spin 1/2 systems). Do you know where I can train?
Hi, I would like to ask you for advice with a problem, I'm working on.
I have a regular shape object (glass cylinder) in which is the 100W heat source. The heat source is ind the middle of cylinder and radiates heat uniformly throughout it’s height. Heat, of course, gradually moving into...
The hereditarily finite sets(a subclass of the Von Neumann universe) are an axiomatic model that corresponds to the usual axioms of set theory but with the axiom of infinity replaced by its negation(showing its independency from the other axioms of set theory).
Some mathematicians (a minority)...
I'm trying to write some code to generate plausible star systems, but so far, I only have a main sequence star generator, and even with that I don't know how good the mass-radius relationships are. So, I'm coming here to ask for some formulas or pointers as to where I can go to find the math to...
Imagine that we have an intertial system F, and there is an electric charge Q at the origin. Obviously the field is symmetric and spherical in this reference system.
Imagine another inertial system F' that is moving at constant speed v to the right respect to F, and at t=t'=0 both origins...
Homework Statement
[/B]
How are we able to go from the first line to the second line and then the second line to the third?
Homework Equations
Euler Identity: e^j(theta) = cos(theta) +jsin(theta)
The Attempt at a Solution
This problem is more about preliminary theory in my opinion so I tried...
So a spherically symmetric object, by Birkhoff's theorem, does not emit gravitational waves.
Is this why we look to binaries, so that there is some rotation of the objects with respect to each other breaking the spherical symmetry? Or mainly because the gravitational radiation is much greater...
Homework Statement
Design a lag-lead compensator for the system of Figure 9.37 so that the system will operate with 20% overshoot and a twofold reduction in settling time. Further, the compensated system will exhibit a tenfold improvement in steady-state error for a ramp input.
Homework...
I have a recycle loop system:
Please could someone give me a place to understand the theory behind it? What would be its purpose? Where would it be used?
I've googled recycle loop systems but I can't find anything relevant, is it the same as a pressurized water reactor...
Homework Statement
Homework Equations
Momentum conservation and Energy conservation equations
The Attempt at a Solution
Ok First I translated the units, ##1000 \frac {kg} {min}=16.66\frac {kg} {s}##
##10\frac {km}...
Hey!
So I have a raspberry pi that uses 5V/1.2A and a LCD monitor that uses 12v/0.2A. I would like to power both using a single wall power outlet. I found a power adapter that converts 100-240VAC/50-60Hz/1.2A to 12VDC/2A.
I was wondering if it is as easy as cutting off the connector on the...
Homework Statement
For each of the following, determine if the system is linear. If not, clearly state why not.
(a) ##y''(t)+15y'(t)+sin(y(t)))=u(t)##
(b) ##y''(t)-y'(t)+3y(t)=u'(t)+u(t)##
(c) ##y'(t)=u(t)## and ##z'(t)=u(t)-z(t)-y(t)##
Homework Equations
None
The Attempt at a Solution...
Homework Statement
Deriving an s-domain equation for the following inputs a) &b)
The Attempt at a Solution
I understand how to derive the equation for an input with zero initial conditions (part a) but I'm not sure what to do when there are non-zero initial conditions (part b)
Looks like a lot of good stuff, I know what I’m doing this weekend!
Summary document on SP 800-160: http://csrc.nist.gov/publications/nistbul/itlbul2016_12.pdf
SP 800-160, Systems Security Engineering: http://dx.doi.org/10.6028/NIST.SP.800-160
Homework Statement
I am having trouble solving systems of equations when they contain complex numbers. The context is circuit theory and phasors. For example, I am given this
And the goal is to find I2 and Voc, which you can see the answers for. I just don't know how to manipulate the numbers...
Okay, so I've reached the Work Chapters in my textbook, and I've noticed some contradictions, especially in what consists (and what doesn't) an Isolated System, plus the external and/or applied forces.
For example, in one of the "Speed Questions" it categorizes a single cube as a non-isolated...
Hi there. Excuse that I write it all in standard text but I don't know how to write it otherwise. I'll get right to the question and try to see if I understand the theory from the answer.
Suppose we have a system of two electrons, one spin up and one spin down in a system with 3 possible...
Homework Statement
In the drawing below, a rod of length L and mass M is pivoted a distance L/4 from one end. The pivot attaches the rod to a smooth horizontal table, allowing the rod to rotate frictionlessly in a horizontal plane (so that gravity does not affect the motion). The end furthest...
Homework Statement
A 3.0kg mass is connected to a system of three springs, k1 = 100N/m, k2 = 80N/m, and k3 = 150N/m, as shown below.
(a) Derive the relation between k1, k2, k3 and the equivalent spring constant of the three springs together.
(b) If the mass is pulled 10cm from its equilibrium...
Homework Statement
Consider the 3 following Scenarios:
1.
2.
rms value of line voltage is 208 V
Three equal impedances, 60 +j30 W each, are delta-connected to a 230-V rms, three-phase circuit. Another three equal impedances, 40 +j10 W are wye-connected across the same circuit at the same...
The transfer function of a linear system is known in the sinusoidal frequency domain. It is given in its final form as a complex function of the angular frequency ω (not jω ). How to obtain the step response?
Thanks in advance.
If one wants to write about different worlds in his story, it isn't enough to just change a few things on the surface. Culture has to be different, different political systems usually means differences in economy too.
An example from my universe: on the totalitarian planet, most people barely...
Chaos could appear in the system if there is some nonlinearity. My question is how to explain that there is no chaos in constant acceletating system
s(t)=v_0t+\frac{at^2}{2}
when equation is nonlinear? Why is important only that difference and differential equation be nonlinear. It confusing me.
I have a few questions about earthing in electrical systems.
1) How can Earth be used as a "conductor"? I googled its resistance and it turns out that Earth resistance is not that large and it can be reliably used as a conductor. For example, I read it can be used as a return conductor in single...
In particular how does matter "clump" together to form stars and planets, and how do Galaxy/star systems form?
For the latter question is the answer simply that near massive enough bodies, the spacetime curvature is significant enough that the geodesics within its vicinity are closed curves...
This is with regard to 2 boxes of different masses that are stacked on top of each other and pushed at a constant velocity across a table that has friction. One of the sentences is right:
"When the boxes move at a constant speed, there is no change in momentum. This means that the boxes are an...
Homework Statement
Determine the maximum velocity attainable by a vehicle with the following conditions:
RWD
6% grade
Weight = 20 kN
CG is 1.25 m behind front axle and 0.5 m above ground level.
Wheel base is 2.8 m.
Effective rolling radius of wheel = 30 cm
Coefficient of aerodynamic drag =...
Homework Statement
Determine the maximum velocity attainable by a vehicle with the following conditions:
RWD
6% grade
Weight = 20 kN
CG is 1.25 m behind front axle and 0.5 m above ground level.
Wheel base is 2.8 m.
Effective rolling radius of wheel = 30 cm
Coefficient of aerodynamic drag =...
Homework Statement
A particle of mass m moves along the x–axis under the influence of force ##F_x=-ax+bx^3## , where a and b are known positive constants.
(a) Find, and sketch, the particle's potential energy, taking U(0) = 0
(b) Identify and classify all equilibrium points
(c) Find the...
Homework Statement
Determine the maximum mass of the lamp that the cord system can support so that no single cord develops a tension exceeding 350 N
Homework Equations
The Attempt at a Solution
F(x)=0; F(ED)cos30 - F(CD)= 0
F(y)=0; F(ED)sin30 - W
F(ED)= 2W
F(CD)= 1.73205W
F(X)=0...