System Definition and 1000 Threads

A strategy I use when learning is to consult multiple books. It is great most of the time, but occasionally I find that there seems to be a contradiction between different books. For example, when proving the conservation of mechanical energy theorem, Tipler & Mosca claim that the total work of...

Hello, I'm trying to find the right wattage heater band for a cylindrical vacuum chamber that is stainless steel (304), ~2ft in length, ~0.5ft in diameter, and ~0.5 in thick. From a quick google search, I was able to calculate the required wattage for bring the chamber up to and constant at...

I calculated friction = 1N.But since force is more than maximum friction,therefore lower block will not move and a force of 0.5N will be applied to upper block. Therefore its work done by friction will be W=0.5×6=3 J. But answer given is 1 J. Can anyone help.

This is task from my textbook and it does not provide us with an answer. So I cannot verify if I did mistake. Can someone double check, please? My solution: ##E_{k_{0}} = \frac{(m+M)v_{0}^2}{2} \quad \land \quad U = \frac{kx^2}{2}## ##E_{k_{0}} = U## ##\Longrightarrow (m+M)v_{0}^2 = kx^2##...

Hey guys, I am designing a system that would monitor the coolant tanks of about 10 CNC machines through a centralized system consisting of valves, a pump & a refractometer. The system would be connected to the tanks through fixed piping in the plant. A pump would draw small amount of liquid...

Hi there. I have some questions from the Ames test. I am following Wikipedia and a book to understand this concept. My understanding : Ames test is a fast and convenient test that uses auxotrophic bacteria (those that cannot grow in histidine lacking medium) to find out if some chemical is...

I know that ##B = \mu n I## and ##\phi = B \pi R^2##. So with have ##d\phi / dt = \mu n \alpha \pi R^2##. But I don't know what to do with this? is this the answer? I don't think so but I don't know what to do after this.

I am new to Simulink and I wanted to start practicing using a spring mass damper system. My first tutorial was this: Later, I wanted to model a spring system where a mass moving at a known velocity hits the spring. The governing equation and a similar modeling method given in the previous...

A stationary closed system such as an air in a room or a water in tank can exchange energy with its surroundings, such as receiving heat, fan work, electrical work, shaft work. These energy interactions cause a change in the total energy E of a system. This total energy can be comprised of...

Consider a wagon with length L and constant speed v on the straight part of a rail. The wagon has clocks on both ends that are sync in the co-moving frame (of the wagon and the clocks). Then there is a curve in the rail with radius r. The speed of the wagon in the curve is still constant v, but...

I tried out the F=Δp/Δt equation and i came up with a change of momentum of the box-bullet fusion (M+m)V-0, but the textbook says otherwise (using a change of momentum of JUST the box itself, excluding the bullet). According to the textbook, the correct change is MV-0, without the added mass of...

I am attaching a standard 5/8" garden hose with approximately 70psi pressure to a copper pipe that is capped on the opposite end with mist nozzles mounted periodically along its length. I want the pressure at each mister to be as similar as possible. The hose attaches at the base, a solid line...

https://www.physicsforums.com/attachments/9050 ok I think I got (a) and (b) on just observation but (c) doesn't look like x,y,z will be intergers so ?

https://pmt.physicsandmathstutor.com/download/Physics/A-level/Past-Papers/AQA-Old/Unit-5/June%202015%20MS%20-%20Unit%205-2A%20AQA%20Physics%20A-level.pdf mark scheme question 2 very simple question why is the change in wavlength not 656.05 - 656.52? instead. The difference being in the mark...

I am looking at options I have available for providing Power Heat and Light to a collection of houses and barns I am planning to convert into a small holiday complex in rural France. I plan to run this complex as an agricultural small holding with holiday let's in 4 x renovated French farm...

For the maximum elongation the velocities of the blocks should be equal. With that i used two conservation of energy for m1 and m2, for m1 the work of the elastic force is integral of kx(dx1) and for m2 kx(dx2), where X1+x2=x. I got three equation and four variables since i don't know the final...

So Juno is on her downhill run towards Jupiter. Only doing about 8k right now, but by the time she rounds Jupiter she'll be doing 100k or more. We are going to get so much science from Juno. Personally I am eagerly awaiting the results of what Jupiter looks like under all those clouds.

The spring is first relaxed at its lower end h_1, that's when we attached mass m to itand let it fall freely and come to rest. Now by Force analysis we can show that in final position of mass the forces of gravity and restoring force from spring are balanced. i.e. F_g=F_s which yields x=-mg/k...

$\tiny{28.1}$ 2000 Find the general solution to the system of differential equations \begin{align*}\displaystyle y'_1&=y_1+5y_2\\ y'_2&=-2y_1+-y_2 \end{align*} why is there a $+-y_2$ in the given ok going to take this a step at a time...

given the differential equation $\quad y''+5y'+6y=0$ (a)convert into a system of first order (homogeneous) differential equation (b)solve the system. ok just look at an example the first step would be $\quad u=y'$ then $\quad u'+5u+6=0$ so far perhaps?

I developed a program to solve the nonlinear system below through the method of successive approximations and was only able to find one solution, namely ##x_1 = 0.93377## and ##x_2 =0.88417##, even though I tried many different starting points. I was wondering if there's a way to determine if...

I am stuying physics by myself and I would like to get a Computer Algebra System. Does anybody has any suggestions?

SOLUTION ATTEMPT Newtons 2nd law states that F=ma (eq. 1). When a force is applied to a mass m it results in an acceleration a=F/m (eq. 2). If a vertical force is applied to one of the objects in this system, acceleration of both objects will occur. Assuming the length of the rope is constant...

In the HBO TV show Chernobyl, deputy chief engineer Anatoly Dyatlov said Control System Tank， Hydrogen... What's the control system tank in RBMK?

Consider the first qubit (subsystem A): First, the density operator for the system AB is ## \rho ^{AB} =\frac { \left |00 \right > \left <00 \right |+ \left |01 \right > \left < 01\right |+\left | 11\right > \left < 11\right | } 3 ##. Then, the reduced density operator of subsystem A is ##...

Summary: Looking for guidance on how to model an RLC circuit with a system of ODES, where the variables are the resistor and inductor voltages. This is a maths problem I have to complete for homework. The problem is trying to prove that the attached circuit diagram can be modeled using the...

The quarter car system is represented by the above picture and I currently have all of the equations of motion and constants for each spring, mass, damper, distance, and moment of inertia. How can I find the frequency response with this information and knowing both tires hit a pothole of height...

The rectangular chamber contains inclined perforated plates through which the air passes. At the top there is a blower and at the front as well as back bottom there are openings for air inlet. How do I calculate system resistance and know if a certain blower will be able to overcome it?

First I worked out the dispersion relations, which is pretty easy: ##M \ddot x_j = K x_{j-1} + K x_{j+1} - 2K x_j -mg \frac {x_j} {l} ## (All t-derivatives) We know ##x_j## will be in the form ##Ae^{ijka}e^{-i\omega t}## so the above becomes: ## -\omega^2M = K (e^{-ika}+e^{ika}-2)-\frac {g}...

For the attempt at a solution view the Excel screenshots (1). A screenshot with all the lengths is provided (2). The 4-linkage system is shown in screenshot (3). The problem is shown in screenshot (4). A screenshot from the whole assembly is also provided to add some insights (5). Thanks...

Scientists described using information from brain recordings to generate understandable speech in a proof of principle study. Invasive recordings of brain activity normally involved in the production of speech sounds, at the level of controlling muscle movement, have been associated with the...

nmh{896} mnt{347.21} consider th non-homogeneous first order differential system where $x,y,z$ are all functions of the variable t \begin{align*}\displaystyle x'&=-4x-3y+3z\\ y'&=3x+2y-3z+e^t\\ z´&=-3x-3y+2z \end{align*} write a system in the matrix form $Y'=AY+G$

Problem statement: Consider a fermionic system with two states 1,2 with energy levels \epsilon_i, i=1,2 . Moreover, the number of particles in state i is n_i = 0,1 . Let the Hamiltonian of the system be H = \sum_{i=1}^2 \epsilon_i n_i + \sum_{i \neq j} U n_i n_j Here, U > 0 is a...

Hello! I am stuck at the following question: Show that the wave function is an eigenfunction of the Hamiltonian if the two electrons do not interact, where the Hamiltonian is given as; the wave function and given as; and the energy and Born radius are given as: and I used this for ∇...

We express such equations by $$\frac{dx}{dt} = \beta - \gamma \cdot x$$, t denotes the time. In this case, γ depends on x, thus the dynamic equation should probably be: $$\frac{dx}{dt} = \beta - \gamma(x) \cdot x$$ 1. Setting the equation to 0 leads to two different cases: If x < K: xST = γlow...

I am a 21-year-old from Mexico that recently dropped out of engineering. I was dissatisfied by the mayor and the education system here in Mexico. I am looking forward to studying Physics in Germany because it is free and life is not so expensive. But I have my doubts. Is education at top...

I am looking to do control for a swerve drive for FRC, and I would really like a linear state space representation so that I can formulate my MPC as a Quadratic Program. I understand that in order to do this I need to find an appropriate Koopman invariant subspace, ideally finite dimensional...

I don't have too much of a clue of how to begin the problem. I first wrote the angular moementum of the system of particles: →M=∑mi(→ri×→vi)M→=∑mi(r→i×v→i). Then I know that the angular momentum from of the moving reference frame would have the velocity as the sum of the velocity of the frame...

Distance is d=1/0.07 = 14.3 parsecs The Doppler shift of one star is, Δλ = 512 - 512.04 = -0.04 So the radical of the velocity of the star is = (-0.04/512) x (3.00 x 10^5 km/s) = 23.4km/s which is the same for both stars because they have the same mass. This is as far as I've got.

From my understanding, the root locus is only concerned with open loop gain. I figured this means you would ignore the negative feedback loop and calculate the root locus from just the plant's function Workings: zeros: -1 poles: 0, -2, -2, relative degree = 2 => 90-degree asymptotes meeting...

If I have a composite system, like a two particle system, for exemple, I can construct my Hilbert space as the tensor product of the hilbert spaces of these particles, and, if ##\{|A;m \rangle \}## and ##\{|B;n \rangle \}## are basis in these hilbert spaces, a basis in the total hilbert space is...

The spring constant of a helical spring is 28 N mñ1. A 0.40 kg mass is suspended from the spring and set into simple harmonic motion of amplitude 60 mm. i use the equation 1/2 change in extension times by force where the force i assume is mass times by 9.8 but the mark scheme uses 1/2 kx ^2 and...

Find the general solution to the system of differential equations $\begin{cases} y'_1&=2y_1+y_2-y_3 \\ y'_2&=3y_2+y_3\\ y'_3&=3y_3 \end{cases}$ let $y(t)=\begin{bmatrix}{y_1(t)\\y_2(t)\\y_3(t)}\end{bmatrix} ,\quad A=\begin{bmatrix} 2 & 1 & -1 \\ 0 & 3 & 1 \\...

Moment of inertia for a rod rotated around one end is 1/3ML^2 using the parallel axis theorem Moment of inertia for a sphere is 2/5 MR^2 Itotal=Isphere+Irod=2/5MR^2+1/3ML^2 However, the answer is 2/5MR^2+1/3ML^2+ML^2 Why is there an extra ML^2 added to the moment of inertia?

determine their general solution and give a system of fundamental solutions. use the different techniques of diagonal, diagonalizedable, or triangular. $\begin{cases} y'_1 & =3y_1 \\ y'_2 & =2y_2\end{cases}$ set matrix $A= \begin{pmatrix}0 &3\\0 &2\end{pmatrix}$ then find...

Solve the system $$Y'=\begin{bmatrix}2 & 1 & 0 \\0 & 2 & 1 \\ 0 & 0 & 4 \end{bmatrix}Y$$ subtract $\lambda$ from the diagonal entries of the given matrix and take det: $$\left| \begin{array}{ccc} - \lambda + 2 & 1 & 0 \\ 0 & - \lambda + 2 & 1 \\ 0 & 0 & - \lambda + 4...

does pressure in a compressed air system increase when going from a 2" air line to a 1" air line.

Hi all, I need to convert a cooling fixture from a weighted system to a plate and bolt system. I'd like to use 4 - 10mm cap screws and a pressure plate to replace 7.82kg of weight. The weights are 190mm x 70mm of contact area. The pressure plate will have flanges to accommodate the bolts...