Systems Definition and 1000 Threads

17.3-(17.3)e^(-92.34940680845194549420x)^y)=17.30181504460159157646-((17.3-(17.3)e^((-0.00118329948908244714x)^y)) anyone know how to solve this or a calculator that can?

Homework Statement How to get equation ## \frac{d \theta}{dt}=-\omega_d+\omega_1\cos (\omega t)## where ##\omega_d## is the average drift frequency and ##\omega_1## is proportional to the amplitude of the ac current. from ## \frac{d \theta}{dt}=\omega_{co}(\frac{V(t)}{V_T}-\sin \theta) ##...

Homework Statement A ##m = 2.0 kg## box slides along a floor with speed ##v_1 = 4.0 \frac{m}{s}##. It then runs into and compresses a spring until the box stops. Its path to the initially relaxed spring is frictionless ##(F_f = 0)##, but as it compresses the spring, kinetic friction with a...

Hi i just finished my first year of general engineering and am on a 4 month break. If there are any senior engineering students or engineers out there, I just want to know if its useful to take a two month course in embedded systems and microcontrollers. Thanks

Are electrons closed systems?

Homework Statement Use a coordinate conversion application to roughly map out the amount of precession in coordinate positions (R.A and Declination) in the sky between 1950 and 2000. Homework Equations I can easily find a converter on the internet The Attempt at a Solution I...

A load of mass 250kg is required to be lifted by a means of a winding drum and cable. The mass will be initially at rest, accelerated uniformly upwards for 4 seconds and then decelerated uniformly for one second. such that a final height of 10.5 metres is gained. The winding drum has a mass...

If two orthogonal coordinate systems (xyz and x'y'z') share a common origin, and the angles between x and x', y and y', and z and z' are known. What is angle between the projection of z' on the xy plane and the x axis? Thank you for your help!

For a 3rd order system, can I use 2nd order approximation (granted dominant pole is ≈5 Tau away from third pole), when designing a Lead or Lag compensator? Can this OLTF = K/{s(0.1s+1)(s+1)} be approximated to 10K/{s(s+1) which ultimately gives CLTF=10K/{s(s+1)+ K} ? and then design...

Hello all, This one thought came to my mind just now. What's the physical significance of signal representation in negative time, i mean second and third quadrant. So for example, sin(t) and sin(t).u(t) aren't they same for all practical purposes? I know, mathematically they are...

How did they get the blue box? I know where they got the 0.5 inside the brackets from but not sure about the rest. The bode plot in my data book has log10(wt) as the x-axis..

Hi, With today's technologies, if our exact solar system were at a few light-years from us, could we detect its planets ? /Nico

I am going through Mary Boas' "Mathematical Methods in the Physical Sciences 3rd Ed". I finished the chapter 3 section 12 problem set, but I do not understand how she gets eq. 12.39. These don't seem obviously equal to each other. Here is the equation: $$\lambda Tr=Vr$$ Where T is a matrix...

Do unobserved particles exchange information with other particles? If not then they are not only unobserved but also un-observing, which would seem to mean that they not only do not have a well defined position but that the very concept of position does not exist for them, nor does distance or...

In the lecture notes my university provided I am told that according to the first law of thermodynamics: ΣQ = ΣW (for a cycle) ΣQ = ΣW + ΔU (for a closed system) Does this mean that there is always a change in internal energy in a closed system? Or can ΔU=0? In other words, can ΣQ = ΣW, and if...

hey guys, i have a question regarding bode plot g(s)= 1/(s2+4) i did get the magnitude plot correct but i am unable to understand the phase plot. by calculating on paper i got 0° but in MATLAB it changes from -360° to -180° i haven't understood how the initial phase is -360 which...

There is a lecture called fundamentals of electric and electronics and there is a new topic in that lecture I have to learn but I have little information on it. Topic is three phase systems or three phase power calculations or something like that. There are big letter such as R,S which...

This may not be the proper place to ask this so forgive me if wrong. Can someone direct me to the Federal Reg that "specifically" dictates that hydraulic braking systems MUST have 45 deg. "double" flare connections? I'm involved in a protracted forum thread regarding 45 deg double flare on...

Within the scope of classical mechanics, what exactly is the definition of a closed system, and of an isolated system? Also, do these definitions differ in thermodynamics? And does the law of conservation of linear momentum apply to a closed system or an isolated system?

I was wondering what are the general opinions on the field? I am a freshman physics major planning to switch to this major. I can basically pursue an emphasis on neurosystems, CS, molecular biology or bioinformatics. If I do end up majoring in CSB, I will probably double major with math or...

Homework Statement We know that X= (1 over 3)e^t+(4 over -4) te^t is a solution to X'=(2 1 over -1 0)X. Verify that the solution vectors are linearly independent on (-∞,∞).Homework Equations I know that the wronskian of the solution vectors cannot be 0 if they are linearly independent.The...

Homework Statement PLEASE click on attached picture below: What can be concluded about the tension in the cords holding the balls stationary in Systems I and II when both systems are at rest? In both systems the mass of the larger ball M2 is exactly twice the mass of the smaller ball...

How are MVARs actually measured in the field? How do EMS systems know the difference between MW and MVARS as opposed to an absolute value of MVA? Thanks!

A theory is a subset of a formal language together with a set of inference rules on that formal language in which the members of the theory need no premises to be true, right? So if I had a subset ##\mathcal{T}## of a formal language ##\mathcal{F}##, and a set of inference rules in which all...

Dear all, In Marder's Condensed matter physics, it uses matrix operations to explain how to justify two different lattice systems as listed in attachment. However, I cannot understand why the two groups are equivalent if there exists a single matrix S satisfying S-1RS-1+S-1a=R'+a'...

What are the factors to take into account when deciding between using a belt or a gear system for transferring power? Thanks

Einstein has a thought experiment with two trains which he uses to prove linear motion without acceleration is inertial. Inertial means there is no physical test which will prove which train is moving and which is stationary, no coordinate system is preferred and that coordinate system are...

Hi everyone, I have what may be a dummy question. In NMR or in the study of liquid crystals for example, an order parameter S is often used: S=\left\langle\frac{1}{2}\left(3\cos^{2}\theta-1\right)\right\rangle with \theta the angle of the molecule with a "director" (the magnetic field in...

i am studying autonomous system, i came across this proposition λ is in R and vector b is in R_n where the IVP x' = Ax + c , with x(λ) = b has at most one solution is it possible to prove this

What frequency are they referring to when they plot magnitude versus frequency in a bode plot of a control system? I don't understand where frequency comes from in control systems. I've researched this and I'm still very confused by what is meant by frequency.

Sorry, but this will be a long post. This isn't homework, I'm reviewing physics after many years of neglect. Halliday & Resnick, 4th Ed., section on variable mass and rockets, refers the interested reader to an article, "Force, Momentum Change, and Motion," Martin S. Tiersten, Am. J...

Homework Statement In attatchment Homework Equations Not sure How to come up with the other equations. The Attempt at a Solution Assuming a node is an element connected to two or more elements. 1) Moving clockwise from V i1 to i2. Node one is between the negative side of the...

done editing Homework Statement I'm given the following transfer function that represents a physical apparatus G(s) = \frac{X(s)}{F(s)} = \frac{3.333*10^{4}}{s^{2}} I'm asked to design a lead compensator to achieve closed-loop stability. The requirements are that it must have a transient...

Hi PF. This a fact well aware to just about anyone that has had even basic chemistry, but I'm having a hard time coming to an understanding as to why this must be true. So why? Also, if I knew that some box contained, say, a proton and an electron, could I ever know whether or not, inside...

"Digital" Control Systems I recently took a control theory class at my local university and we learned about PID, loopshaping, and state-space methods and implemented them in MATLAB/Simulink and used an Arduino for some projects. However, I was talking with some EEs (I'm an ME) and they were...

Are there any software programs for purchase that allow control system modeling and design for individual use under $1000

Homework Statement Attached image. Homework Equations Cosine rule |F| = √(Fx2 + Fy2) The Attempt at a Solution I tried to calculate the force components in the x and y direction for both and got two expressions for R (one from each system) and made them equal each other...

Homework Statement Homework Equations See below The Attempt at a Solution Root Locus? Easy Peasy right? Based on provided equation G(s), i solved the coordinates of the root locus diagram using quadratic equation. For the 2nd part of the question, i have to find gain at which rise time...

Homework Statement Given G(s) = 1/[(s^2+s+4)(s+6)] and C(s) = k, find the limit of stability of k. Also, what is the range of k such that the settling time is between 10 and 20 seconds. Homework Equations Provided above The Attempt at a Solution I have attempted to set this...

1. Homework Statement [/b] http://snag.gy/m9Iq0.jpg Homework Equations The Attempt at a Solution I know that the sensistivity of a closed for at small change is given by the formula S = ∂ Ln T/∂ Ln G And T(s) = G_c(s)G(s)/1 + G_c(s)G(s) But since i don't have any G_c(s), i...

An SDOF system (m = 20 kg, k = 350 N/m) is given an initial displacement of 10 mm and initial velocity of 100 mm/s. (a) Find the natural frequency; (b) the period of vibration; (c) the amplitude of vibration; and (d) the time at which the third maximum peak occurs. Ans: 0.666 Hz; 1.502 sec...

I am recently very interested in computer algebra systems and was thinking about the maths in it. Basic things that CAS does is algebra(solve set of equations), integration, limits, series etc. Various algorithms are used for such operations. For e.g.:- for integration there is an algorithm...

I am a bit confused often when I have to compute cross products in other coordinate systems (non-Cartesian), I can't seem to find any tables for cross products such as "phi X rho." in spherical I think that these unit vectors are considered to be "perpendicular," so would phi X rho just be "+/-...

Homework Statement Consider a molecular system containing X type molecules and Y type molecules. X and Y can interconvert, and each has two energy levels (given below). The population in moles (n), of each energy state for X and Y, are given at equilibrium of T=300K. For X n0=0.8 and E0=0...

Hi all, Q: How do you find out the boundary work using control volume analysis for a tire that is punctured all of a sudden? To proceed, I started off by using the tire as a control volume with one outlet. Using first Law, E(in) - E(out) = dE/dt Final Conditions: P(final) =...

Homework Statement Given a electrical circuit as one below One can find the transfer function For second order systems this can be written as I know that the damping coefficient can be found using the following formula In the over damped case ζ>1 can easily occur depending on the...

Hey there. I have an open loop transfer function TF = K/(t*s^2 + s) where K is known. Given a value for the break frequency (say, w_b = 10 rad/s), I have to determine the value of the time constant, t. I understand how do this with a bode plot, but not entirely sure how to proceed...

My professor (for some weird reasons) makes us write "system [body(ies)]" whenever we are asked to solve a physics problem for work and energy. Systems make me completely confused because sometimes if we have two or more systems, then the net work becomes zero. My question is this: How do I know...

I have a molecular dynamics code and I want to model the reaction of O with Mg to form MgO at arbitrary temperatures. I am a little confused, however, because oxygen will exist as the diatomic molecule O2. This seems to mean that O2 molecules will have one type of interaction with a bonded...

Hi, I seem to be having some issues going from state space representation of a system to signal flow graph representation. My troubles seem to be, if I have something like this \frac{d}{dt}x_{1}(t) = v_{1}(t) In state space representation I list functions to which the derivatives are as...