System Definition and 1000 Threads

Homework Statement Suppose that we have a system consisting of two interconnected tanks, each containing a brine solution. Tank A contains x(t) pounds of salt in 200 gallons of brine, and tank B contains y(t) pounds of salt in 300 gallons of brine. The mixture in each tank is kept uniform by...

Hello all, I'm trying to calculate the pressures exerted back on a piston by a working hydraulic fluid in a damper system. I've attached a drawing of the system and the equations I'm using. Essentially the piston motion is restricted by flow through an orifice. I have data for the flow rates...

Homework Statement There is a system of 4 points located along a circle of radius R. Points are connected by undeformable ropes (pink on the picture). There is a force applied to each point. Scheme: https://we.tl/MsCEViCQdB I need to find resulting force in the system. The Attempt at a...

Hi, I am about to write a simple application, simulating in 3D current location of the planets in Solar system. Honestly, I do not know even how to start. Can you please guide me where could I find some good information on planet orbits, current locations and how to make all of the calculations...

Homework Statement Homework Equations (Above given. I think it's a hint.) The Attempt at a Solution How is delta T = 0.25?? Where is the 10kΩ coming from? We were given a solution for this homework, since it's not collected. It just seems out of order.

Hey there! I was trying to plot a ODE solution, but am not getting what I should be. It is actually plotting the orbit of Earth with Sun at the origin. My equations The (-0.00011847) is GM. The Initial Conditions: The plot I get: Should not I be getting a elliptic/circular plot as the...

Good afternoon people. I wanted to implement a physical system using control just to put into practice what I have learned in school. To be more specific: I would like to implement an inverted pendulum like the one on the photo In this system a control input (a force u) drives the cart (mass...

The question is to find the change in kinetic energy of a system. the system in use is a pully system with a wooden block on a flat surface attached to a 100g mass. I have calculated force of friction between the block and desk, and using a ticker timer, I have individual speeds at every 0.1 of...

So, I've been studying some tensor calculus for general theory of relativity, and I was reading d'Inverno's book, so out of all exercises in this area(which I all solved), this 6.30. exercise is causing quite some problems, so far. Moreover, I couldn't find anything relevant on the internet that...

Homework Statement I am given 2NH3(g) + 2.5O2(g) ⇌ 2NO(g) + 3H2O(g)+heat. By using Le Chatelier's principle, describe and explain four ways in which an industrial chemist could increase the yield of nitrous oxide. Homework EquationsThe Attempt at a Solution For 2NH3(g) + 2.5O2(g) ⇌ 2NO(g)...

Hi all, want to realize a system for a PCB which holds a solenoid coil moving in a vertical axis long about 600 mm. The coil must get electric contact only in some predefined positions so that, for a given quote, the coil connects to a different LC circuit for having different resonant frequency...

(sorry if posting in the wrong place) I am looking for some mirror setup where rotation one or more elements in the mirror setup will allow to shift the beam along its axis. Two mirrors in a galvanometer scanner type setup work well for controlling the angle of the beam. Rotating risley...

If the Higgs Field could exist with constant 246GeV across all of space. How come the Dirac Sea couldn't exist? If the Universe can easily accommodate Higgs Field.. why not Dirac Sea for all particles. Also how does the Dirac Sea of bosons work? Like W+, W-? Any idea? I was asking about the...

Hi! Just started with linear algebra Could someone help me with this problem? $$ 2x_1 + x_2 - x_3 + 3x_4 - 3x_5 = 0\\ 3x_1 + 2x_2 + x_3 + 2x_4 + 2x_5 = 0\\ -4x_1 + 3x_2 + 2x_3 + x_4 - 4x_5 = 0 $$ (Sorry, I don't know how to do these big brackets for equation systems in Latex.) So it's a...

Homework Statement See attached photo Homework Equations Stress = F/A Area = pi d^3 / 4 Sum F h = 0, Sum F v = 0, Sum M = 0 The Attempt at a Solution Hey everyone, after reading the question a number of times and not knowing for certain where to start, I figured because the stress and area...

Homework Statement So these are the equations of motion for a quad-copter. I am supposed to create a MATLAB model for the z-axis. In order to do this I have to linearize the equations around these points, and arrange them in state space representation. Homework Equations As above The...

Homework Statement A binary stellar system is made of one star with ##M_1=15{M}_\odot## and a second star with ##M_2=10{M}_\odot## revolving around circular orbits at a relative distance of ##d=0.001pc##. At some point ##M_1## explodes in a supernovae leaving a neutron star of mass...

Hi, I am looking at the following system of ODEs: \begin{eqnarray*} \dot{\omega}_{3}+\alpha\omega_{3} & = & \frac{\beta_{1}+\beta_{3}}{\rho_{0}}J_{3} \\ \dot{J_{3}}+2(\alpha_{2}-\alpha_{1})\beta_{2} & = & 0 \\ \dot{\beta}_{1}+\omega_{3}\beta_{2} & = & 0 \\...

Hey everybody, I am trying to expand a system of seven qubits from one dimensional Hamiltonian to the two dimensional representation. I have the one dimensional representation and I don't know what to add to transform it from 1D to 2D representation. I would really appreciate your help and...

Homework Statement I am working through problem #1, a-c. Homework Equations The main equations are dx/dt=Ax, (A-rI)v=0, and det(A-rI)=0. The Attempt at a Solution [/B] Here is my attempt. I am fairly confident in my answer to A. I'm less sure on my answer to B, however it is the same as...

In the algebraic approach, a quantum system has associated to it one ##\ast##-algebra ##\mathscr{A}## generated by its observables and a state is a positive and normalized linear functional ##\omega : \mathscr{A}\to \mathbb{C}##. Given the state ##\omega## we can consider the GNS construction...

Dears Kindly, I want to hear from you regarding this topic. The system is closed cooling system. I believe it is difficult to attribute the sound you hear from centrifugal pump to be a cavitation especially if the discharge pressure is normal. The last time we had a problem with this system...

Homework Statement A force F is applied horizontally to a block A of mass mA = 0.600 kg so that it slides on the floor with acceleration g/3. Block B of mass mB = 0.200 kg rests on top of A, but is kept in place by a cord which is tied to the wall at 45.0°. The coefficient of kinetic friction...

Homework Statement ##\alpha##-Centuary is in a binary visual system with another star. Their separation, from their CM, is 8.0'' and 9.7''. The distance from the Earth is 1.31pc. Their revolution period around the CM is 80.1 years. I have to find masses and luminosities for each star. Homework...

A mass attached to a spring is oscillating in Simple Harmonic Motion. If an other spring of same sprinc constant is attached parrallel to the other spring, what is the period of this new system (as a function of the initial period). Here's what I did and have no idea if this is right: For the...

I have this word problem, and was wondering how I would go about creating a system of equations. Here is the question: Problem: You are a small forest landowner, and decide you want to sustainably harvest some of timber on your property. There are costs related to the infrastructure needed to...

Homework Statement Why is it that when the total energy of a system less than the max potential energy, it must equal to some potential energy in a potential energy diagram. Homework EquationsThe Attempt at a Solution Total energy intersects multiple points in U(x) diagram. However, since...

If we are talking bout a single atom QM is obviously necessary, but when we are talking about a bunch of molecules (like gases/fluids) statistical mechanics works fine too. I remember it has something to do with ##\hbar## but I don't remember much and I can not quantify it. Thanks

Having a cylindrical iron container with wall thickness of 20 cm, and a total weight of 500 tons when filled with its cargo, how would you be able to calculate its required voltage and current input in a vertical railgun system (relative to the Moon's surface), with an exit acceleration of...

Hey Folks! Just need a quick sanity check ... Putting in a new 4in well and submersible pump ... trying to wrap my brain around the "physics" of it ... Here is what I ***Think I Know*** : 1) The Energy required to move any given volume of water to ground level can be calculated using M*G*H ...

Hello, I'm working on a project to design a system that basically turns off all non essential electrical appliances in the home when it is not occupied. The idea is to reduce energy waste caused by lights, TV's computers etc being left on accidentally. So far I'm thinking that each occupant...

How many things can go wrong simultaneously and apparently independently with a gas central heating system? Mine has been stretching credulity to the limits last weekend. Saturday afternoon, we noticed house getting cold and spotted that pilot light was out. Couldn't get it to relight at all...

Hello. I created a restore point in Windows 8 but it doesn't work because of a problem. "System restore did not completed successfully. Your computer's system files and settings were not changed. Details: System Restore failed to extract the file "C:\Program Files...

Homework Statement A steam heating system is used in winter season, The radiator of a steam heating system has a volume of 25 liters and is filled with superheated water vapor at 200 kPa and 200C. At this moment both the inlet and the exit valves to the radiator are closed. After a while it is...

Homework Statement Homework EquationsThe Attempt at a Solution [/B] the force resultant = (100i +620j +800k) = 379 N moment result is (100i-620j+800k) = 1017 which is not correct! I calculated the moment of all forces about point O using cross product so... (-3i + 2j) x (-200j) + (-3i +2j) x...

Homework Statement Part C ) help Homework Equations So far.. Moment resultant = 1800i +3200k , magnitude = 3070 N*m Force resultant = 500i +300j + 800k , magnitude = 990 N The Attempt at a Solution For the location, I'm not getting x = 1.16, y =2.06. Instead , I am getting Mx = Fr*y --> y...

Homework Statement I have to calculate the partial derivative of an arctan function. I have started to calculate it but I wonder if there is any simpler form, because if the simplest solution is this complex then it would make my further calculation pretty painful... Homework Equations $$\beta...

Homework Statement I am having a issue with the question, when I check the solution to the problem, I can't seem to make sense of how they have derived there equation. Q: By analyzing the superposition of frequencies and amplitudes in the radial velocity data for a star 55 Cancri A, the first...

Homework Statement Homework Equations W=mg F=ma The Attempt at a Solution I'm not sure how I should be answering this problem, and the diagram itself looks odd. I was thinking about how it would work in real life, since the biggest pulley is attached to the leftmost pulley, by the same...

Homework Statement [/B]Homework Equations [/B]The Attempt at a Solution In the second question at 5:32,why doesn't the block have a spring force.In FBD of 2nd block it should have been mg-(T+kx)=ma right?

Homework Statement Two planets are masses stuck to end of long thin rods. These model systems (Rod + mass) will be rotated by a motor at their other end of the rod, as shown in the figure. the length of the rod is proportional to the orbital distance of the planet, and the mass at the end is...

Homework Statement Homework EquationsThe Attempt at a Solution Jacobian of the coordinate- system (## u_1, u_2##) with respect to another coordinate- system (x,y ) is given by J = ## \begin{vmatrix} \frac { \partial {u_1 } } {\partial {x } } & \frac { \partial {u_1 } } {\partial {y} } \\...

Consider, I have a dynamic system model for air compressor. Which means I have modeled the system by including its physics. Does this means I also included the transients of the system? What I think is, when i modeled any system with equations, I think that includes the transients. Is it...

Homework Statement Homework Equations Find out the function of the system. Apply that to input. The Attempt at a Solution From given input output, system is a differentiator. So when input is n u[n] output is differentiating it, we get: n (impulse response) + u[n] Which is not in any of the...

Homework Statement Is the system: y(t) = x(-t) time variant or time invariant? Homework Equations Condition for time invariant: 1) Apply delay to input and check output as Y1 2) Apply input to system without delay and apply delay to output and name it as Y2 If Y1 = Y2, system is Time...

Homework Statement Given a graph (see below) containing the velocities of two stars with respect to the sun, I am asked to calculate the velocity of the centre of mass of a binary system. I am not given the mass of either star, nor the shape of the orbit nor the velocity of the centre of mass...

Homework Statement Homework Equations Using Laplace TF = C (s) / R (s) The Attempt at a Solution Laplacing the equation: 3s C(s) + C(s) = R(s) e-3s So C(s) / R(s) = e-3s / (1 + 3s) Book answer is B I know ramp input is At. Do I laplace it as: A/s2? I'm not sure where I'm wrong

I know that energy increases with distance, but what is the relationship? What are different ways to measure something decreasing over distance or time. I really don't have the time to help my younger sister do her homework so I need someone to help me explain to her the relationship concerning...

I'm aware that the term means the remaining pressure at a point while there is flow. Say the distribution pipes downstream the sprinkler valve have a calculated total head loss of 3 bars during the designed flow. Does that mean that the residual pressure at the sprinkler valve needs to be at...

Homework Statement To find the time period of this simple harmonic motion Homework Equations F= -kx The Attempt at a Solution To check Simple harmonic motion first ,I have to displace the mass by some distance which I take to be x in this case. Therefore the spring will be displaced by a...