Components Definition and 949 Threads

Three forces A, B, and C act on a body as shown (see attachment). A fourth force F is required to keep the body in equilibrium. x-component of force F is closest to: a.+32 N b. +28 N c. -28 N d. -32 N e. +19 N y-component of force F is closest to: a. +32 N b. -32 N c. -28 N...

Homework Statement You are given vectors A = 5.1i - 6.7j and B = - 3.2i + 7.2j . A third vector C lies in the xy-plane. Vector C is perpendicular to vector A and the scalar product of C with B is 19.0 What're Cx and Cy? The attempt at a solution A.C = 0 B.C = 19

Homework Statement In class we had a 2D with angles and components question. Homework Equations To find the answer I eventually got to the x=xo[SUB]+v[SUB]ot+1/2at2 equation and came up with ***-4.9(28/37cosx)2+28tanx-3*** The Attempt at a Solution But once I got to this point I...

Homework Statement 1. Given the following force vectors: A is 27 lb at an angle of 27° clockwise from the +x-axis, and B is 44 lb at an angle of 45° clockwise from the +y-axis. (a) Make a sketch and visually estimate the magnitude and angle of the vector C such that 2A+ C − B results in a...

Homework Statement If a sailboat is heading East at 18 m/s and it makes a turn until it is heading 50oNof E at 16 m/s, and the turn takes 2.5 minutes, what is the average acceleration of the boat in m/s2 Homework Equations None The Attempt at a Solution I drew the vectors of 16...

Homework Statement If the x component of a vector A, in the xy plane, is half as large as the magnitude of the vector, the tangent of the angle between the vector and the x-axis is: A rad 3 B 1/2 C (rad3) / 2 D 3/2 E 3 Homework Equations The Attempt at a Solution I first drew a...

1. Hi I am writing a program to calculate 3D vectors for visualization and I am testing textbook problems such as: "If vector c forms an obtuse angle with the 0Y-axis and is orthogonal to both vectors a = 3i + 2j + 2k and b = 18i - 22j - 5k Find the components of c if its norm...

In the previous section he derived the components, with respect to the coordinate bases associated with a polar coordinate system, of the Riemannian metric tensor field on S2, the unit 2-sphere: g = \begin{pmatrix}1 & 0 \\ 0 & \sin^2(\theta) \end{pmatrix} where \theta is the zenith angle...

Homework Statement Plane X=0 has a uniform charge density, \rhos while plane X=a has -\rhos. Determine the electric field intensity in region X<0. Homework Equations E=\frac{Q}{4\Pi\epsilon0R2}aR The Attempt at a Solution I already know the answer to this question. What I'm...

Hi, I have a question about counting (how difficult should that be ;) ) I have the set of tensors in D dimensions \{h_{\mu\nu}, H^{\mu\nu}, t_{\mu}, T^{\mu}\} with the relations H^{\mu\nu} h_{\nu\rho} = \delta^{\mu}_{\rho} - T^{\mu}t_{\rho} T^{\mu}t_{\mu} = 1...

Hey guys, I am not sure I did this problem correctly and would like some feedback. Below is how I reasoned through the problem. Thanks for your help. Kevin Homework Statement Find x- and y-components of the vector (3.0 , - x-direction). Homework Equations cosθ= A/H sinθ=...

Homework Statement what are the x and y components of a vector a in the xy plane if its direction is 210(degrees) counterclockwise from the positive direction of the x-axis and its magnitude is 14 m. Homework Equations vector is in the third quadrant with an angle of 30(degrees) The...

Hey everybody, sorry if I sound like a noob, but I keep emailing my teacher and he doesn't respond, I would really appreciate it if someone could help me understand these types of problems. Thanks! Homework Statement Each of the following vectors is given in terms of its x and y components...

Hello! I was wondering, if I have two vectors each with three components, this is not sufficient to define all of R3, but it defines a subspace. Does this subspace have to be a plane? I think it does, but I am having difficulty visualising it or describing it. I think I can ascertain that if...

Homework Statement A resistor, R = 100 Ω, an inductor, L = 0.20 H and a capacitor, C = 3 µF are connected in series across an ac source of VS = 100 V and frequency, f = 200 Hz. Calculate the following for this series circuit: a) the total circuit impedance (Zt) b) the total circuit current...

i am now studying dirac equation why there are only four components? not more? is it possible to test the number of components experimentally?

Homework Statement Determine the scalar components Ra and Rb of the force R along the nonrectangular axes a and Also determine the orthogonal projection Pa of R onto axis a. Homework Equations n/a The Attempt at a Solution I tried setup rectangular coordinate but that didn't work...

Homework Statement 2 A particle with charge 94.5 nC is moving in a region where there is a uniform magnetic field of 0.450 T in the positive x-direction. At a particular instant of time, the velocity of the particle has components: vx = - 1.68 x 104 ms-1, vy = - 3.11 x 104 ms-1 and vz = 5.85...

Hello, A friend of mine (we're both first-years) has just done his herexam of Thermodynamics & Intr. to Statistical Mechanics. He had to get a relationship between pressure P and energy density E/V for a photongas. As a simplification E = \sum |p| c was given. He couldn't do it with the...

Homework Statement 2 different types of components in a black box, which might be 2 of the following, resistor, capacitor or inductor. they can be in parallel or series. 2 tests: 1. DC voltage = 0.01 ohm 2. fixed 1V AC RMS to the input and f=10Hz, I=75mA f=100Hz, I=20.9mA...

Homework Statement Two medical field teams set out for a reconnaissance mission and lose one another. The GPS at their original camp shows the location of the first medical team as 43 km away, 15° north of west. The second medical team strayed 32 km away, 33° east of north from base camp...

Homework Statement See attached photo. Find the resultant displacement measured from the starting point. Homework Equations The Attempt at a Solution When it comes to angles, i sometimes get confused when to add 180 or not. FOr the first two distances, we don't have to find...

Homework Statement A unit vector lies in the xy plane, at an angle of 131 degrees from the +x axis, with a positive y component. What is the unit vector? Homework Equations cosO=adj/hyp The Attempt at a Solution cos131*=adj/hyp I know that the z component is obviously 0 (xy...

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...

1. Homework Statement I'm having a bit of difficulty with a neuroscience course - it's about the primary visual cortex. I have a bunch of image patches (16*16) and I need to generate synthesised images using principal component analysis as a generative model. I reshaped the images to...

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 Hey :-) I want to calculate the redshift at which the Universe became vacuum dominated, with given values for the energy densities of Omega_{m} and Omega_{Lambda}. Homework Equations I know that the scale factors rho_{m} is proportional to a^{-3} rho_{r} is...

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...