Components Definition and 911 Threads

The pure math of the problem: I have two vectors, both of which are expressed in spherical coordinates. I know the magnitudes as well as the polar and azimuthal angles that express these vectors. In addition, I have a third vector. I only know the magnitude of this vector, and I need to...

From a book: "The waveform is distorted because of different amounts of attenuation and phase shift suffered by different frequency components of the signal" Question: If there are different frequency components in a single, how do the ratio channels operate on a single frequency. A...

could gravity have 2 components like a photon , or does gravity just have one component? Is a gravitational wave a self-sustaining G field .

Homework Statement stress tensor in cartesian components. \sigma is the stress tensor. e_i are the basis vectors Homework Equations \sigma \cdot \sigma The Attempt at a Solution I tried to write out the components with a cartesian basis: \sigma=\sigma_{ij} (e_i \otimes e_j) But then I'm...

Hello, I have the following problem: I have an algebraic variety given as a zero locus of a set of polynomials. I know that there are points on this variety, which are singular (i.e. the dimension of the tangent space at these points is bigger than that of the variety). Now fixing one of...

Homework Statement A child throws a snowball with a horizontal velocity of 18m/s directly toward a tree, from a distance of 9.0m and a height above the ground of 1.5m. a) After what time interval does the snowball hit the tree? b) At what height above the ground does the snowball hit...

Homework Statement A train moving at a constant speed of 100km/h travels east for 40min, then 30o east of north for 20 min, and finally west for 30min. What is the train's average velocity for the trip? Homework Equations The Attempt at a Solution I think I have to calculate displacement...

I'm posting here, in the math forum, because my question is about handling the math of the problem. On my website there are a number of simulations (in the form of Java applets), and among them is a http://www.cleonis.nl/physics/ejs/ballistics_simulation.php" . The ballistics simulation is...

Hi, everyone I was playing with the coordinate transformations and metric tensors to get a feeling of how it all behaves, and got stuck with some basic problem I am hoping you can help me with. So, I have defined a coordinate system (s,t), with the s axis going along the x-axis in the...

An SR question again, exam on monday. Homework Statement I'm given a 2D metric as: ds^{2}=x^{2}dx^{2}+2dxdy-dy^{2} I have to first find the contravariant and covariant components of the metric, or g_{ab} and g^{ab} Homework Equations General expression of a metric tensor...

Homework Statement An interval in Minkovski space is given in spheric coordinates as; ds^{2}=c^{2}dt^{2}-dr^{2}-r^{2}d\theta^{2}-r^{2}sin^{2}\theta d\phi^{2} Now I have to find the covariant and contravariant components of the metric tensor. Homework Equations General expression...

Hello guys, I'm trying to find an algorithm to solve an overlap problem between many polyhedra in space, so here this question appears. Imagine an Ellipsoid rotated by Euler angles in 3D space. This Ellipsoid could be characterised by its 3 radii Rx,Ry and Rz, and by 3 Euler angles in...

Homework Statement A projectile is fired across a horizontal flat plane. Its initial velocity is 25.5 m/s and is fired at an angle of 31.8° above the horizontal (a) How long does it take to get to the maximum height? (b) What is the maximum height? (c) Determine the horizontal and...

Homework Statement Vector A is 3.28 m long and points along the x axis. Vector B is 190.6 cm long and points at +25° to the positive x axis (a) What are the components of Vector A? (b) What are the components of Vector B? (c) What is the resultant of these two vectors in terms of...

Homework Statement Find the component of the force \vec{F} = 2\hat{i} - 2\hat{j} + \hat{k} in: a) the direction (\hat{i} + \hat{j} - \hat{k})/\sqrt{3} b) the direction of the vector 3\hat{i} + 2\hat{j} - 6\hat{k} Homework Equations dir \vec{A} = \vec{A}/|\vec{A}|The Attempt at a Solution...

I found the formula for the number of independent components of Weyl tensor in n-dimensional manifold: (N+1)N/2 - \binom{n}{4} - n(n+1)/2~~~~~N=(n-1)n/2 This expression implies that in 3 dimension Weyl tensor has 0 independent components, so it's 0. Does it implies that any three-dimensional...

Hi, thanks for the attention and excuse for my bad english. I'm studying general relativity and I have a doubt about the number of indipendent component of the riemann curvature tensor. We have two kind of riemann tensor: type (3,1) Rikml type (4,0) Rrkml There are also some symmetry...

Hi community, I have a linear systems of equations (8x8), but the matriz's components are discrete. In this moment, I make values' all of components and I write them in 64 files of 150x6000. My question is How do you solve a linear systems of equations discrete?, I mean, How do I work with...

I won't post the actual problem with numbers, I just need some direction. My teacher never went over this part of the webwork in class, and we haven't touched on it in physics either. "a" and "b" are both 3D vectors. 1.) I am supposed to find the component of "b" along "a" 2.) I am...

Homework Statement A mass of 5 kg is suspended by two strings, 24 cm and 32 cm long, from two points that are 40 cm apart and at the same level. Determine the tension in each of the strings. Would the 40 cm length be the resultant or do you rearrange the 24 and 32 as head to tail...

I took these two pictures from http://jap.hu/electronic/codec.html. They are an 8-channel radio receiver and transmitter using a PIC microcontroller. I'm about as green as you get with electronics. My greatest accomplishment so far has been using a car's ignition coil to make a spark across...

Homework Statement In my lab we did an experiment using an RLC parallel circuit, with the L and C in parallel. The voltage source was set at square waves. I am being asked to explain why there are frequencies, beyond the resonance, at which there is a peak voltage drop across the capacitor...

Homework Statement A particle with charge 2.8 C moves through a uniform magnetic field. At one instant the velocity of the particle is (1.4 i + 1.2 j + 0.48 k) m/s and the magnetic force on the particle is (11.9 i - 14.1 j + 1.57 k) N. The x and y components of the magnetic field are equal...

This is not a homework question but for a project. We are using a laser diode, one that you would normally find in a laser pointer to transfer information to a photo-transistor for a free space optical communications system. Now I know the power output is around 5mW, but over a distance will...

I'm having trouble finding information online regarding figuring out vector components when you set up your own axes. All examples just show a basic x-y coordinate system where the cos and sin components of the vector are obvious. However, suppose you have a problem where, for example you have...

Homework Statement A golfer takes three putts to get the ball into the hole of a level putting green. The first putt displaces the ball 2.5 m North, the second 4.8 m South-East and the third 5.7 m South-West. Express each of these three displacements in unit vector notation where i is a...

Homework Statement A force ~F = Fx ˆı+Fy ˆ acts on a particle that undergoes a displacement of ~s = sx ˆı + sy ˆ where Fx = 8 N, Fy = −4 N, sx = 5 m, and sy = 1 m. Find the work done by the force on the particle. Answer in units of J. Homework Equations x^2 + y^2 = z^2 Work =...

Hi, When drawing the FBD (ex. block on incline), and when you split a force into x and y components, where do you put theta when giving the angle of let's say, the incline? Is there a trick to this? I generally know where to put it (basic trig), but for some reason I can't use trig for some...

Homework Statement A force in polar coordinates is given by F1 = 50±2 N at the angle 30±2 degrees. Find the value and uncertainty for Fx and Fy Since force is a vector, there will be an error in both its magnitude and direction... angle calculations must be in RADIANS... 30\frac{+}{}2...

Homework Statement The problem is: Show that the components of \vec{E} due to a dipole are given at distant points, by Ex=\frac{1}{4\pi\epsilon{o}} \frac{3pxz}{(x^2+z^2)^{5/2}} and Ez=\frac{1}{4\pi\epsilon{o}} \frac{p(2z^2-x^2)}{(x^2+z^2)^(\frac{5}{2})}}...

Homework Statement The problem is: Show that the components of \vec{E} due to a dipole are given at distant points, by Ex=\frac{1}{4\pi\epsilon{o}} \frac{3pxz}{(x^2+z^2)^{5/2}} and Ez=\frac{1}{4\pi\epsilon{o}} \frac{p(2z^2-x^2)}{(x^2+z^2)^(5/2)}}...

Homework Statement Component diagram: include all forces, x & y, angles compare x components (are they equal?) do y-components equal 0? Homework Equations Fnet = ma = 0 = F + F + F... SOHCAHTOA The Attempt at a Solution Attached is my diagram with components drawn in. There...

Homework Statement an athlete releases a shot at an angle of 20 degrees and velocity of 16m/s. What are the velocity and acceleration of the shot in terms of normal and tangential components when it is at the highest point of its trajectory? What is the instantaneous radius of curvature of...

Homework Statement Are you supposed to write directions for the tangential and radial components of acceleration?Homework Equations The Attempt at a Solution Because they are components, I'd say no... isn't a component usually written without a vector sign, and therefore no direction? The...

Homework Statement There is a resultant force going towards the positive x-axis at 500 lbf. Force 1 is going 45 degrees above the positive x axis. Force 2 is going 30 degrees below the positive x axis. What are magnitudes of Force 1 and Force 2? The Attempt at a Solution I wrote up...

sqrt(1/2)up = sqrt(1/2)right + sqrt(1/2)left this is very counter intuitive for me, I am used to normal Cartesian coordinates where u can add and subtract magnitudes in the x-axis all day and get nothing on any other axis. furthermore, a spin to the right should be the opposite of a spin to...

Homework Statement I'm working on a problem where I have to add two phasors together. The problem is, the real parts cancel out and I can't figure out how to express the phase because arctan(y / 0) isn't defined. Homework Equations x1 = 10<45 degrees x2 = 10<135 degrees x1 + x2 =...

Find the x and y components for the given vectors below. Magnitude: 318, Angle: 260 degrees Magnitude: 140, Angle 180 degrees No units were specified. I tried using trigonometric equations to figure them out, but it isn't working so far. What am I doing wrong? For instance, I used...

Homework Statement When a rocket reaches an altitude of 40m it begins to travel along the parabolic path (y-40)^2=160x, where the coordinates are measured in meters. If the component of velocity in the vertical direction is constant at vy=180m\s, determine the magnitudes of the rockets...

I was doing some practice problems on physics classroom website and this is one I think is wrong. A plane flies northwest out of O'Hare Airport in Chicago at a speed of 400 km/hr in a direction of 150 degrees (i.e., 30 degrees north of west). The Canadian border is located a distance of 1500...

Homework Statement Is it possible to determine aircraft speed prior to contact with noted wind, if resulting aircraft speed, original aircraft heading, wind speed and wind direction and final aircraft heading are known? Homework Equations P (plane): Bearing 241° (traveling...

What did physicists use before the introduction of vectors by Gibbs & Heaviside, was it the exact same as we would use when denoting components with an x or y subscript or something completely crazy? Also, I've read in quite a few places that quaternions are very useful for things like Special...

Homework Statement Components of a certain type are shipped to a supplier in batches of ten. suppose that 50% of all such batches contain no defective components, 30% contain one defective component, and 20% contain two defective components. Two components from a batch are randomly selected...

Are vector components scalars or vectors? Wikipedia.org says they're vectors, Nasa.gov says they're scalars, and I'm just confused. Arguments saying they're scalars: if you define unit vectors i, j and k, and say components are the numbers multiplying these vectors, then vector components are...

Homework Statement force vector F = 700[-0.25, 0.433, 0.866]. vector A = [-4, 4, 2] a)What is the component of F that is parallel to A? b}And what is component of F that is perpendicular to A? Homework Equations A\bullet F = |A||F|\cos{\theta} When two vectors are parallel: A\bullet...

Homework Statement Three horizontal ropes are attached to a boulder and produce the pulls shown in the figure. 1) Find x and y components of pulls A,B,and C 2) Find the components of the resultant of the 3 pulls 3) Find the magnitude of the resultant pull 4) Find direction of the...

Homework Statement Given vectors \vec{A} = 5.0\hat{i} - 6.5\hat{j} and \vec{B} = -3.5\hat{i}= 7.0\hat{j}. Vector \vec{C} lies in the xy-plane. Vector \vec{C} is perpendicular to \vec{A} and the scalar product of \vec{C} with \vec{B} is 15.0. Find the vector components of \vec{C}. Homework...

I'm looking for components specified for cryogenic temperatures. Capacitors on the order of 1 uF to start with but other components too. Ideally they will be rated to less than 80 K operation with low outgassing. Anyone suggestion on any companies that make or sell such low temperature parts?

Out of curiosity I took a dead cell phone apart and can't help being puzzled at how the multitude of tiny components get onto the circuit board of the phone. A typical component size is 1mm X .5mm X .5mm. (smaller components were .5mm X .25mm X .25mm in size). Placement accuracy looked to be of...

Hi, i am interested to know the major components of the fuel system of a car. I know, these are the major ones: Fuel Tank, Fuel Pump, Fuel Filter, Injector Valve, Return Lines but what i am interested is in the fuel system for (1) a single cylinder engine, (2) no carburetor (instead, i am...