I have a homework problem where I have to solve for the displacements of the attached system using cyclic symmetry. To do this, I know that I have to find the harmonic load components of the system. One thing that my professor did not make clear (or if he did, I missed it) is how to determine...
I'm working on the electromagnetic stress-energy tensor and I've found this in a book by Landau-Lifshitz:
T^{i}_{k} = -\frac{1}{4\pi} \frac{\partial A_{\ell}}{\partial x^{i}} F^{k\ell}+\frac{1}{16\pi}\delta^{k}_{i} F_{\ell m} F^{\ell m}
Becomes:
T^{ik} = -\frac{1}{4\pi}...
Hi all! I am currently learning fault study in power systems.
To my understanding-
In any network (symmetrical or unsymmetrical) , there would be 3 components- positive sequence component, negative sequence component and zero sequence component.
Question:
For generators and transformers ...
Homework Statement
Two point charges, Q1 = -4.0 μC and Q2 = +3.0 μC, are placed as shown. In Figure 17.14b, the x-component of the electric field, at the origin O, is closest to:
A) -3000 N/C
B) 3800 N/C
C) 9800 N/C
D) -3800 N/C
E) -9800 N/C
Homework...
Hi everyone!
First of all I would like to say that my native language is not english, so I will try to explain myself as good as I can
This is my first thread in which I would like to ask a question a friend of mine asked to me, hoping he could get some answer from me, but I couldn't give him...
You go for a short walk traveling in three stages. The first displacement is 58.5 m 20.0 degrees east of north. The second displacement is 78.0 m 40.0 degrees south of east. Finally you go 99.0 m 17.0 degrees north of west. The answer I got was 36.9 m, 66.2 degrees north of west,which is...
Hi,
I am having trouble understanding why Tij can be non-zero for i≠j. Tij is the flux of the i-th component of momentum across a surface of constant xj. Isn't the i-th component of momentum tangent to the surface of constant xj and therefore its flux across that surface zero? What am I...
I would appreciate if someone could set me straight here. I understand if I have an arbitrary operator, I can express it in matrix component notation as follows:
Oi,j = <vi|O|vj>
Is it possible to get a representation of the operator O back from this component form. I'm more interested...
I have a list of various organic components I would like to extract from different fruits, vegetables, and plants and get the organic chains as pure as possible. How is that achieved? What science provides insight on the subject? I actually say science, but I'm looking for specific titles...
Hi all, I was reviewing some old material on the representation of orientable surfaces
in terms of disks and bands , in page 2 of:
http://www.maths.ed.ac.uk/~jcollins/Knot_Theory.pdf
Please tell me if I am correct here. Assume there is a horizontal line dividing the surface into
an...
So I have been interested in learning about electronics for a while but I can only find good reading sources for learning. I have a load of trouble learning from reading and I best learn from things like experimentation or being taught. I would like to experiment but at the same time I don't...
Homework Statement
This is an example problem where you have a force F at 100N applied at an angle of 45 degrees from a horizontal u-axis. You have the u-axis at zero degrees, then 45 degrees after that you have the Force then 15 degrees after th at you have the v-axis
You are asked to...
Homework Statement
Givens:
Mass of Cart = 1156g = 1.156kg
Mass on string = 400g = 0.4kg
Mass on Cart = 1003g = 1.003kg
The weight attached to the pulley generates the applied force.
Homework Equations
Calculate the force applied.
The Attempt at a Solution
Look on the sheet.
Homework Statement
An electromagnetic planewave (non-monochromatic) propagates in vacuum along the positive x axis. The electric field vector is parallel to the y axis. We know the dependence of the component E_y on the variable x at the moment t = 0:
E_y(x) = E_0\ \text{if}\ |x + a| < b...
Consider a small, thin loop in the (x,y) plane centered in the origin and with radius a. We are interested in the vector potential \mathbf{A} generated by the loop at a point P(r, \theta, \phi), with 2 \pi a \ll r, so at a great distance (moreover, a \ll \lambda).
We need two coordinates...
Question:
A soccer player kicks the ball off the ground at an angle Θ above the horizontal. The ball is in the air for 3.0 seconds and lands 40 m away (assume the field is level).
a) Make a table of x and y components and fill out what you know, based on the problem statement above, and...
Hello everyone,
I have here one important abstract question which makes up some perplexity to my understanding. Attached to this post is one pic of F and two new introduced axes ( u and v ) . Let us for instance not consider them as perpendicular to each other. Now, if I...
Homework Statement
In the picture below, we see a scene from the days of yore. This is called a tow path and the situation is that a barge is being towed by some horses along the side of a canal. Let's say the horses pull with 6200 N of force at an angle of θ=16∘. If the barge has a mass of...
Homework Statement
Given an electric field:
E=Ex*ex+Ey*ey
with
Ex=cos(kx-wt)
Ey=cos(kx-wt+e)
where e is the phase difference
Show that
Ex^2 + Ey^2 - 2*Ex*Ey*cos(e) = ( sin(e) )^2
Homework Equations
Ex=cos(kx-wt)
Ey=cos(kx-wt+e)
The Attempt at a Solution
Was...
When speaking of filtering noise of an input or output, are the texts referring to the actual electrical components of a digital pid controller? Capacitors, resistors etc...
I am making a human stem cell from its molecular components(just pretending to do it right now but might be able to do later in life).
I have extracted my DNA and formed a liposome.
I have the DNA replicating in an incubator at 98.6° F, 5% CO2, and 95% humidity.
The temperature is because it...
Homework Statement
Sophie walks 800 M [N], then 500 M [W] and finally 400 M [SE] in 25 minutes. What is her displacement and average velocity? (Using scale diagram)
Homework Equations
a2 + b2 = c2
The Attempt at a Solution
I tried calculating by creating separate triangles, but...
1. The photon wave function, an EM wave, has orthogonal electric and magnetic components. I have gathered the impression that the electron wave function has only one. Is this correct?
2. By analogy with EM waves, can the electron's spin rate be identified with the frequency of its wave...
Three forces acting on an object are given by F1 = (−1.85i+ 6.35j) N, F2 = (4.90i − 1.15j) N, and F3 = (−44.5i) N. The object experiences an acceleration of magnitude 3.55 m/s2.
They want the velocity components of the object after 4 seconds.
First, I calculated the direction of the...
Homework Statement
So this isn't really a specific homework question, it's more of a general one. What is the difference between ax and i(hat)? I thought they were the same thing. Can someone please explain the difference?
Homework Equations
The Attempt at a Solution
Given a basis \mathfrak{B}=\lbrace\mathbf{e}_{i}\rbrace it is possible to represent a vector \mathbf{v} as a column vector
\left[\mathbf{v}\right]_{\mathfrak{B}}= \left(\begin{matrix}v^{1} \\ v^{2} \\ \vdots \\ v^{n}\end{matrix}\right)
where the v_{i} are the components of \mathbf{v} relative...
Homework Statement
a) Despite the diverging lens with focal length f we observed object which is perpendicular to the optical axis (Figure 6 in the article ,,5. Rozptylka a zrcátko"). To what distance from the diverging lens we have to put the subject to be scaled twice? (cross-magnification Z...
In the ψ below, there are 4 components for the Dirac spinnor times three possible color states for a total of 12 components for ψ?
Are there low energy, weak field limits of the above that allow us to consider classical color counterparts of electric current densities and electric charge...
A uniform sphere of mass M and radius R has a point on its surface fixed at the origin. Its centre lies along a line in the direction of the position vector r = i + 2k + 3k at length R. Find the components of the torque acting on it due to gravity if the z-direction is upwards and gravity acts...
Homework Statement
Show how 10^(-1.7) = alog(0.3) * 10^(-2)
Homework Equations
Component: non-fraction part of a logarithm.
Mantissa: fraction part of a logarithm.
The Attempt at a Solution
I'm "reverse engineering" a prof's class through watching his lectures, so I don't have the...
Homework Statement
An element is taken from the wall end of the cantilever beam that is loaded as per the diagram. What are the stress components of the element, taken at x=0, y=h/2, z=0
Homework Equations
σ=My/IThe Attempt at a Solution
So from the shear moment diagram, the moment and shear...
I have no clue on the first thing to start with. I want to make a remote that signals to a siren/alarm.
1) what kind of electronics/components would I need for a sensor.
2) how can I get it to connect to an alarm/siren sound?
3) where can I purchase the components to make this?
Consider a sphere with outer radius r2 and a centred inner cavity of radius r1, forming a constant density shell with density p.
Let's say the time dilation on a clock on the inner surface of the shell is ta.
Now the shell with filled with a material of the same constant density as the shell...
Homework Statement
What are the possible results of the measurement of the sum of the x and z components of the spin angular momentum of a spin-1/2 particle?
Sx = Spin angular momentum operator x
Sz = Spin angular momentum operator x
Homework Equations
The Attempt at a...
Hi,
I'm creating software based simulations for different components of a car. I've some query regarding this. Also please let me know if what I'm doing is correct or not
1. Engine component
It would take the acceleration request and fuel injection(set at the beginning) and would compute...
Homework Statement
Force F acts perpendicular to the inclined plane ABC. Assume x0 = 2.32 m, y0 = 3.44 m, z0 = 2.94 m, and F = 459 N.
Determine the moment produced by F about point B; What are the x,y,z component.
Homework Equations
Cross Product
The Attempt at a Solution
A...
Can you help identify "home-made" potentiometer components?
Hi all,
I work well with my hands, but am not very applied with electronic gadgetry as to what exactly the components in the pictures are. I know there are transistors, resistors an integrated circuit and etc. I was wondering if...
Homework Statement
A researcher collects expression measurements for 1,000 genes in 100 tissue samples. The data can be written as a 1, 000 × 100 matrix, which we call X, in which each row represents a gene and each column a tissue sample. Each tissue sample was processed on a different day...
I remember in my first year physics classes, when dealing with a force F we would find the vector's x- and y-components using F_x=r cos(θ) and F_y=r sin(θ) I also remember learning in my mathematics classes about unit vectors, but cannot seem to remember using them to break vectors down into...
Homework Statement .
Consider the subspace ##U## of the metric space ##(C[0,1],d_∞)## defined as ##U=\{f \in C[0,1] : f(x)≠0 \forall x \in [0,1] \}##. Prove that ##U## is open and find its connected components.
The attempt at a solution.
First I've proved that ##U## is open. I want to...
Hey all,
Wanting to create an up/down counter that uses a photogate as a trigger, and a 12 segment LED bar graph to display the count. It will need to begin at full illumination, turning off one at a time on activation of the photogate. Will also need a reset switch, though I'm thinking a...
A rocket hits the ground at an angel of 60° from the horizontal at a speed of 300 m/s.
a. Draw the vector representing the rocket's impact and show the westward and eastward components of it's velocity.
b. Calculate the horizontal and vertical components of the rocket's impact velocity.
A rocket heads at an angel of 40° West of North at a speed of 150 m/s.
A Draw the vector representing the planes flight and show the westward and northward components of it's velocity.
b. Calculate the westward and northward components of the plane's velocity.
Please i really need help...
I know of multisim, but that is mostly fo rlow voltage applications. I need a schematics program like multisim, that has models of big transformer stations, current transformers, fuses, circuit breakers etc.
Anyone of you who knows of a tool like this?
Homework Statement
A cyclist head due west on a straight road at 5.6m/s. A northeast wind is blowing at 10m/s. What is the effective speed of the tailwind?(resultant)
Homework Equations
Cos 45 10
Sin 45 10
The Attempt at a Solution
Basically I broke it down into its x and y...
Homework Statement
Say I have a circuit with only 2 components, a battery and a capacitor. Is this circuit considered series or parallel? What about a charged capacitor and an uncharged one? Does the fact I have an oscilloscope connected to the capacitor to read the voltage across it affect...
Homework Statement
Here is the part of the problem that I am referring to (that is also fully portrayed in a more aesthetically-pleasing manner in the TheProblem.jpeg attachment).:
Consider a particle moving on the curve whose equation in polar coordinates is r = 1 + cos(θ). The rate of change...
Homework Statement
given r(t) = <t, 1/t,0> find T(t) N(t) aT and aN at t = 1
Homework Equations
T(t) = r'/||r'||
N(t) = T'/||T'||
aT = a . T = (v . a)/||T||
aN = a . N = ||v x a||/||v|| = sqrt(||a||2 - aT2)
The Attempt at a Solution
for my T(t) I get <t2, -1 , 0>/(sqrt(1+t4) (I...