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.
Based on my understanding,
Top Tank Refilling
Advantage: Atmospheric Pressure
Disadvantage: High Head (Requires more distance, thus more Work since W = f x d)
Bottom Tank Refilling
Advantage: Low Head
Disadvantage: High Static Pressure (Requires more Force, thus more Work since W = f x d)...
The equations i got are attached below. Is it right? If yes what should we do after this. I tried solving the equations, but i did not arrive at the solution.
Hello,
I have an equation relating the angular acceleration (d2Θ/dt2) of an undamped system to a forcing function and the an angular term (Θ). The system in question is an inverted pendulum. I know that such an oscillating system can be represented by the following function:
The problem is...
Hi, my professor gave me I code where he used to evaluate the answer of a linear system to a step increase in the input variables like this:
MySystem = ss(A, B, C, D);
ltiveiw('step', MySystem, 'r-', 300);
My problem is that with this code I get the response only for a positive step. I'd...
Find a general solution to the system of differential equations
\begin{align*}\displaystyle
y'_1&=2y_1+3y_2+5x\\
y'_2&=y_1+4y_2+10
\end{align*}
rewrite as
$$Y'=\left[\begin{array}{c}2 & 3 \\ 1 & 4 \end{array}\right]Y
+\left[\begin{array}{c}5x\\...
Suppose there is a photon with momtum p=h/lambda moving in the positive x-direction. Suppose it collides with an electron at rest and is completely absorbed by the electron, and that after the collision, the electron moves to the right with the same momentum of the photon. This seems...
Summary: I require assistance in selecting a suitable radiator for a submersion cooing system
Hello,
I am designing a series of chassis's and cooling rigs that will house ant miner s-9 units along side their apw3 power supplies flooded with mineral oil within the housing.
Each unit...
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://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...
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...
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...