Components Definition and 949 Threads

maybe its simple permutation and combination technique... I ve tried to resolve it on my own but I couldn't...The textbook which I read simply mentions it to be obvious..can anyone please elucidate me the logic behind factorials of "independent components of tensor curl" and levi cita Can...

Dear all, I have a question about the polarization measurement. In the photo production reaction like γp→πp with polarized photon beam of energy GeV. how to measure the polarized components of proton. A paper said that the focal plane polarimeter, consisting of two 55 cm CH2 analyzer...

Hi, Consider P = \boldsymbol{\nabla} f +\boldsymbol{\nabla}\times \bold{A} where f and A are scalar and vector potentials, respectively, and P is strictly positive and well behaved, and only nonzero in a domain \mathcal{D}. I want to find how the magnitude of \int \boldsymbol{\nabla} f dV...

I have some car engine related questions, but basically just physics. -Do different specific heat capacities have anything to do with how certain materials resist heat? I know that on some engine compartments there is gold wrapping because it resists heat best, but it has a low specific...

I've been trying to calculate the Riemann Curvature Tensor for a certain manifold in 3-dimensional Euclidean Space using Christoffel Symbols of the second kind, and so far everything has gone well however... It is extremely tedious and takes a very long time; there is also a high probability...

Homework Statement I solved this problem simply by substituting the initial and final velocities in vector form and applying the principle of conservation of momentum, but there's something I don't understand about this problem. "Two small smooth spheres A and B have equal radii. The mass...

Hello I am trying to model in LTspice a matrix for symmetrical components. Keeping to the theory, the 120° delays were built with tlines, which means that whatever signal there is at the input, after the delay it becomes x(t-2*π/3), meaning multiplying with a2(=e-j*2*π/3). (to avoid such a long...

Homework Statement Let V = Gen{ [0;5;1;2], [4;0;-2;1], [5,1,0,1]}. Define u11=v1. Indicate the coordinates of u2, the orthogonal component of v2 to V1=Gen{u1. Homework Equations I know V has to be a vector space. If there is a subspace W with an orthogonal basis B={v1,...,vk} then the...

The following problem is one I have contrived by my own ability, so if there is any error please let me know. Say I have a box, with a chain attached at one of the edges of the box, and I apply 10 N pull at a 40° angle with the surface of the box. Now I know we sometimes resolve vectors into...

Hello, I'm self-studying a book on nanomedicine and in it, there is the following quote: "Nanoscale materials in general include hard and soft, wet and dry, and biotic and abiotic materials that are either nanostructured, or contain nanoscale and nanophase components." I guess my...

How in a series circuit do the components know how much of the "electricity" to use? How does this happen? Why doesn't the first lamp in a series use all the volts? How does it know if there are any other lamps in the circuit? Any help would be greatly appreciated. :)

A scalar like electric potential. Say I have a positive charge, and 4m to the right, and 3m up is a point P. If I wanted to calculate the potential at point P, I'd use V=kQ/r (r=√(4^2 + 3^2)). But I'm confused about why finding the potential at 4m to the right (the x component), and the...

I am looking at a building with a car park in Sydney. Electrical circuits are run on perforated cable trays at high level. I understand that the trays require earthing, however, I'm trying to determine the extent. The trays are made from galvanized sheet and come in 3 meter lengths and are...

Homework Statement Let \vec{R} = (t + \sin t) \hat{i} + (t + \cos t) \hat{j} denotes at time t the position of a moving particle. Determine the radial and circumferential components of acceleration as a function of t. Homework Equations v_r = \dot{r} v_{\theta} = r\dot{\theta}...

Homework Statement I am a bit confused on when to break up static equilibrium problems into their linear components, vs just jumping straight into angular torque without breaking the linear forces into their respective components. For example: A uniform plank of mass 30kg and length 2.0m...

Hi, Whenever I check a problem to find electric intensity at a point, it shows electricity at that particular point is resolved into components. Might be my question is a dumb one. But seriously I wana know why does it resolved into components? What happens if we do not care about the...

Homework Statement I just did a Signal Processing lab. The manual for the lab is attached, but it was essentially there's a circuit in a box with at most 3 separate linear circuit elements (resistor, capacitor, or inductor) in it. I had to figure out the components without opening it by only...

Can the covariant components of a vector, v, be thought of as v multiplied by a matrix of linearly independent vectors that span the vector space, and the contravariant components of the same vector, v, the vector v multiplied by the *inverse* of that same matrix? thinking about it like that...

Can the covariant components of a vector, v, be thought of as v multiplied by a matrix of linearly independent vectors that span the vector space, and the contravariant components of the same vector, v, the vector v multiplied by the *inverse* of that same matrix? thinking about it like that...

Any know a way I could find out the Earth's field in the city I live in. I ask this because I have performed the charge to mass ratio experiment and my prof said it would be nice to compare the field i found for the Earth and the actual field recorded by some institute. I can find...

Hello everybody, I'm trying to do some kind of keyboard device which has like 12-15 digital inputs and outputs to a serial USB port. Because other similar circuits I've seen I know I need a microcontroller and some capacitors. The problem is, my device has to be very small and I can't put...

Homework Statement A circuit contains two elements, but it is not known if they are L, R or C. The current in this circuit when connected to a 1.20×101 V, 60.0 Hz source is 4.70 A and lags the voltage by 4.20×101 degrees. a) What are the two elements? (Answer A,B or C) CL CR LR Homework...

Homework Statement Base ball player makes perfect contact with a ball striking it at 45° angle above the horizontal at a point 1.3 m above the ground. His ball just makes it clear of the 3m wall 130m from home plate. What was the velocity at with he struck the ball. Homework Equations is...

Hi, I'm completely new to robotic engineering, recently I got assigned to create a robot chess. There are 2 options robotic arm or using weight/pressure sensor so I would like to know what are the components I will need for this assignment.

Homework Statement A straight wire, of current I, radius a is centred at (α,β). What are the x and y components of the magnetic field B inside one of the wires? Homework Equations ∮B.dl = μ I_enc ∫∫J.dS = I The Attempt at a Solution Any point (x,y) in the wire has a constant...

Hello all, These questions might seem very silly but it is my first time purchasing electrical components and I want to make sure I buy the correct ones based on my OWN LOGIC. I do not just want to blindly follow directions to build this motor controller without knowing the logic behind the...

Homework Statement The lowest excited states of the Be atom correspond to a 2s2p configuration of optically active electrons. What 2s+1Lj components originate in this configuration? Assume that Hund's rules hold for the multiplet and deduce the ordering of the energy levels. Refer to a table...

Homework Statement Resolve the force F1 into components acting along u and v axes and determine the magnitudes of the components. Refer to first attachment for full problem with diagram. Homework Equations asinθ bcosθ The Attempt at a Solution Please refer to attachments for attempt...

Homework Statement Pin C joins members ABC and CDE Homework Equations Sum of moments at a point = 0 Sum of vertical forces = 0 Sum of horizontal forces = 0 Weight of triangle acts as a force at its centroid (1/3) its length according to this figure. The Attempt at a Solution...

I am having a hard time understanding how to parametrize the function y = sin(x) into component form (i,j).

I would like to make an electronic electroscopes based on following concept, but its design cannot determine whether the charges are positive or negative. Does anyone have any suggestions what kind of components I can add into this device to determine the charges? Thanks in advance for any...

I am trying to match little square patches in an image. You can imagine that these patches have been "vectorized" in that the values are reordered consistently into a 1D array. At first glance, it seems reasonable to simply do a Euclidean distance style comparison of two of these arrays to get a...

Hey, Imagine a frictionless inclined plane situation where the ramp goes up and to the right. If we put an object on it with any mass m, would it be fair to say that both of the components of the weight are negative? My reasoning is that the x component causes acceleration to the left and the...

Homework Statement A race boat is traveling at a constant speed v0 = 130 mph when it performs a turn with constant radius ρ to change its course by 90°. The turn is performed while losing speed uniformly in time so that the boat's speed at the end of the turn is vf = 116 mph. If the magnitude...

My question is in regard to non uniform motion with changing velocities, such as a skier moving along a curved ski-jump. I'm kind of confused about the various acceleration vocabulary. I know of centripital, linear, and total acceleration of an object that is changing speed and direction...

Sailboat problem-- components of acceleration 1. Homework Statement [/b] A sailboat is traveling east at 5.70 m/s. A sudden gust of wind gives the boat an acceleration a=(0.800 m/s2,33.0° north of east). What is the boat's speed 5.50 s later when the gust subsides? What is the boats new...

I'm looking at Munkres: Topology Problems 1.2.4(c), 1.2.4(e), and 1.2.5(a). Problem 1.2.4(c) asks, "If g\circ f is injective, what can you say about the injectivity of f and g?" Problem 1.2.4(e) asks, "If g\circ f is surjective, what can you say about the surjectivity of f and g?" I concluded...

I am making an n-body simulator, but I'm stuck. How can I find the components of the Force acting between two bodies such as the Earth and the Sun. I know it's- F * Cos(theta) and F * Sin(theta) but if I don't know the angle how can I find the components? I'm using the diagram on this...

Homework Statement A novice golfer on the green takes three strokes to sink the ball. The successive displacements of the ball are 4.00 m to the north, 2.00 m north east, and 1.00 m west of south. Starting at the the same initial point, an expert golfer could make the hole in what single...

Homework Statement What are the x- and y-components of the polar unit vectors \hat{r} and \hat{\theta} when a. \theta = 180° b. \theta = 45° c. \theta = 215° Homework Equations The Attempt at a Solution Please check if I'm correct, i'll just show my answer for a since the process is...

I am designing a Bale loading machine to load Small rectangular bales of 25kg. The machine will be driven by its wheels so no hydraulics and no power being drawn from the PTO. An example of one can be seen http://marongfarmmachinery.com/sales/view.php/16 I would like to put a clutch on the...

Homework Statement The Attempt at a Solution I wanted to make sure I use the right angle for vector B. Also just wanted to check my work.

Homework Statement The components of Vector A are given as follows Ax=+3.9 Ay=-4 The angle measured counterclockwise from the x-axis to vector A , in degrees, is closest to: Homework Equations arctan(y/x)= theta The Attempt at a Solution Hey guys, I got the answer doing...

In their article [Integrals in the theory of electron correlations, Annalen der Physik 7, 71] L.Onsager at el. write: By resolving the vector \vec{s} into its contravariant components in the oblique coordinate system formed by the vectors \vec{q} and \vec{Q} it is possible to reduce the region...

In general 4d space time, the Riemann tensor has 20 independent components. However, in a more symmetric metric, does the number of independent components reduce? Specifically, for the Schwartzchild metric, how many IC does the corresponding Riemann tensor have? (I think it is 4, but I...

Homework Statement The components of vector are given as follows Ax= +3.9 Ay= -4 The angle measured counterclockwise from the x-axis to vector , in degrees, is closest to: A,136 B.134 C.224 D.314 E.46 Homework Equations...

Bluetooth components selection? Any "already made" devices? Hi all, this is what I want to get done: a device1 reads data from sensor using a parallel port, then send it to a device2. Here is what I can think of about device1, it should be a very small 8bit smp MCU controlling a com device...

Hi, I don't think my textbook gives much information on vectors in 3 dimensions. The first chapter is on vectors, but only uses 2 and 1/2 pages to explain vectors in 3 dimensions. I have found a wealth of information on vectors in 2 dimensions (there are literally hundreds of detailed videos...

θHomework Statement Find the components N_{x} and N_{y} of vector N in the tilted cooridinate system. Homework Equations cosθ = adg/hyp and sinθ= opp/hyp The Attempt at a Solution The correct answer is supposed to be N_{x} = -Nsinθ and N_{y} = Ncosθ The error...

Hello i know how to derive the components of acceleration in other coordinates like spherical start here : http://up.iranblog.com/images/0mbwuclckbu51bxt8jfa.jpg and at last we have : http://up.iranblog.com/images/geotowiaxdya2s6ewxk.jpg also , i know that acceleration is a contravariant...