Components Definition and 949 Threads

Homework Statement A wire OA connects the collar A and a reel located at O as shown in the picture. Knowing that the collar moves to the right at a constant speed v0, determine θ'' (the 2nd-order-derivative of θ) in term of v0, b and θ. http://www.freeimagehosting.net/uploads/3cad8b54c6.jpg...

Given F = (-20i + 50j = 10k) 1. The component of the foce projected along the pole AO. 2. The magnitude of the projected component of the F along the pole AO. I have no idea where to begin, I think I need to find the angles but I'm not sure how in three dimensions. (please excuse...

The stress components in a circular cylinder of length L and radius r are given by sigmaij=[Ay+Bz, Cz, -Cy; Cz, 0, 0; -Cy, 0, 0] (a) Verify that in the absence of body forces the equilibrium equations are satisfied. (b) Show that the stress vector vanishes at all points on the curved...

Homework Statement A wedge with mass M rests on a frictionless table. A block with mass m is place on the wedge. There is no friction between the block and wedge. When the system is released, what is the acceleration of the wedge and the acceleration of the block. Give the accelerations in...

Homework Statement Let e_{i} with i=1,2 be an orthonormal basis in two-dimensional Euclidean space ie. the metric is g_{ij} = \delta _{ij}. In the this basis the vector v has contravariant components v^{i} = (1,2). Consider the new basis e_{1}^{'} = 5e_{1} - 2e_{2} e_{2}^{'} = 3e_{1} - e_{2}...

I am having trouble with the equation below for the U component of the orbital velocity in the x direction for a particle in a wave. I have the encountered data and therefore the static data also. I am wondering if I should use the encountered wave number, k, or the static one? If I use the...

Let's say I have a field (electric or magnetic or something) and it's time-varying so I choose to represent its components as phasors. Say the field is: \vec{F} = X\hat{x} + Y\hat{y} + Z\hat{z} where, X, Y and Z are complex numbers. Now, I want to find the amplitude of the field. If...

How does one calculate the number of components a Dirac spinor in arbitrary dimensions? As far as I understand, the textbooks treat the four spacetime dimensions and here the spinor has four components because the gamma matrices must be 4x4 in nature to satisfy the required algebra. Now suppose...

Homework Statement A golfer drives a golf ball 214 m [E] off the tee, then hits it 96 m [28 degrees N of E], and finally putts the ball 12 m [ 25 degrees S of E ]. Determine the displacement from the tee needed to get a hole-in-one using (a) vector scale diagram and (b) components. Compare...

Consider the motion of an object on the xy-plane. Show that the force whose x and y- components are respectivley Fx= (3N/m)y and Fy= 0 is not conservative.

Homework Statement A person follows the path outlined below. 100m east, then 300m south then 150m 30 degrees south of west, then 200m 60 degrees north of east. Homework Equations I used component vectoring and have not been coming up with the resultant answer that the instructor has...

Homework Statement Forces F1 and F2 act on a mass m = 0.52 kg, as shown in the diagram below. The magnitudes of the forces and angles are as follows: F1 = 2.2 N, θ1 = 59 degrees F2 = 1.7 N, θ2 = 68 degrees http://loncapa.vcu.edu/res/vcu/delewis/physics/images/Two%20Forces%20(2).jpg...

Homework Statement For indices running from 0-3: R_{iklm} = -R_{kilm} = -R_{ikml} With the above conditions how do I know the number of independent component is reduced from 4^4 = 256 to 36. No idea how to figure this out.

I read about a metamaterial today that can separately absorb the electric and magnetic components of an electromagnetic wave, A team of scientists from Boston College and Duke Univ. ... used computer simulations based on prior research findings in the field to design resonators able to couple...

Homework Statement four point charges are arranged at the corners of a square, as shown. a = 0.1m, q = 10^-3 coulombs +1q * (+6q)* *(-3q)<-----------3a------------->P * +1q an * indicates a point charge the distance between...

[SOLVED] Geometric Algebra: Signs of electromagnetic field tensor components? Here's a question that may look like an E&M question, but is really just a geometric algebra question. In particular, I've got a sign off by 1 somewhere I think and I wonder if somebody can spot it. PF isn't...

Homework Statement I've derived the EM wave equations from Maxwell's equations, and I now need to show that the E and B components are both perpendicular to each other and to the direction of propagation. The textbook I've been using attempts to show why this is, but it isn't particularly...

Homework Statement The problem is :''Resolve the cartesian unit vectors into their cylindrical components(using scale factors) The Attempt at a Solution It's simple to do the inverse(resolving cylindricl unit vectors into cartesian components),but I'm having some ''trouble'' with the...

what does these electric components represent?? http://img257.imageshack.us/my.php?image=25544716ds5.gif

Hi, I have a conceptual question. In a project I am working on, we are dealing with \Re^{n} (with the usual topology), and I am working on characterizing some objects. In particular, I am dealing with the intersection of two simply connected open sets (that do not have any sort of...

The performance of the valves in (V1 OR V2 OR V3) AND V4 AND V5 has been assessed in more detail under conditions closer to those experienced in-service and the distribution functions of the random time to failure have been quantified. The useful life period, prior to wear-out, occurs from...

[SOLVED] failure of a system of components logically arranged in series and parallel The performance of the valves in (V1 OR V2 OR V3) AND V4 AND V5 has been assessed in more detail under conditions closer to those experienced in-service and the distribution functions of the random time to...

Homework Statement An overhead view of the path taken by a ball of mass m as it bounces from the rail of a pool table. The ball's initial speed is v and the angle is a. The bounce reverses the y component of the ball's velocity but does not alter the x component. ... (b) What is the change...

Homework Statement A mass of 100kg is suspended by two ropes that make angles of 60° to the horizontal. If a horizontal pull of 200N, in a plane perpendicular to the plane of the other forces is applied find the tension in the ropes after equilibrium has occurred. m=60kg...

If a block of mass m is pulled in the direction of (x-component) Tcos(theta) and (y-component) Tsin(theta) across a rough surface with a constant velocity. What is the magnitude of the frictional force? A) μkmg B) μkT cos θ C) μk(T – mg) D) μkT sin θ E) μk(mg – T sin θ) Since fk is in the...

The horizontal beam in the figure below weighs 140 N, and its center of gravity is at its center. http://session.masteringphysics.com/problemAsset/1026448/22/yg.10.59.jpg Find the tension in the cable. Find the horizontal and vertical component of the force exerted on the beam at the...

I am not sure if I am posting this in the right forum or not. I had impression that there is just no difference between projection of a vector and its components until I took the Statics course. We are following The Engineering Mechanics : Statics book by Meriam and Krage. I got stuck up in...

Homework Statement One end of a cord is fixed and a small 0.250 kg object is attached to the other end, where it swings in a section of a vertical circle of radius 2.50 m as shown in the figure below. When θ = 20.0°, the speed of the object is 7.70 m/s. At this instant, find each of the...

1. A path is defined by the function y=1/20 x^2. One instant x=10m and y= 5 m the speed is 6 m/s and increasing at 2 m/s^2. a)Find the directional angle of the velocity from the horizontal? The answer is 45 degrees b)What is the radius of curvature of her path at this instant? The answer...

Can anyone explain to me how to expand this expression for curl which I find in the GR book I'm reading (by Hobson, Efstathiou and Lasenby, page 71)? In a section entitled Vector Operators in Component Form they state the curl as a "rank-2 antisymmetric tensor with components": (curl)ab =...

[SOLVED] Vectors, finding components Homework Statement Determine the x and y components of the following three vectors in the xy plane a)a 10-m displacement vector that makes and angle of 30degree clockwise from the +y axis. Homework Equations The Attempt at a Solution The...

2-dimensional components for vectors is easy if you have the magnitude and angle. x is just magnitude*cos, and y is magnitude*sin. But consider this: Lets say you have a point charge q at (x, y, 0). You want to find the electric field at (0, 0, z). You know that the magnitude of the field is...

[SOLVED] Electric Force Homework Statement http://session.masteringphysics.com/problemAsset/1001926/10/knight_Figure_25_46.jpg What is the force F on the 1 nC charge at the bottom? Write your answer as two vector components, separated by a comma. Express each component numerically, in...

Hi, I'm new here, and I'm not really sure where this thread goes, so please feel free to move it Homework Statement basically, I'm doing a project involving converting raw data on pressure and temperature (and time) in a power plant situation (mainly the pipes carrying the steam) here is...

Homework Statement I need to find the component of W (the 400N force) that is parallel to the slide as in the attached picture. As you can see there is a 24 degree angle between the surface and ground.Homework Equations The Attempt at a Solution I should be using simple trigonometry. The...

Homework Statement Use the components method to solve this problem. A river is flowing at 1.75 m/s. The river is 820m wide. You are on a boat that is going dock on the other side of the river, and 940 m upstream. If you need to get to the other dock in 10 minutes, what must the speed of...

Homework Statement Resolve the force F2 into components acting along the u and v axes and determine the magnitudes of the components. So! I was able to finally determine F2u. I cannot for the live of me get F2v. I am having a very hard time solving this problem. I have included the diagram...

O type blood Blood that is donated isn't necessarily compatible even if it's O type right because of the rhesus factor? Somebody told me it was but I think maybe they were wrong?

My crude understanding of GR in outline is that spacetime curvature is described by the way the components of the Riemann tensor vary from point to point in spacetime, that such variation is controlled by Einstein's field equations, and that the source of curvature is the energy-momentum tensor...

\PsiHow to intepret the four components of the dirac spinor? the volume integral of the \Psi^T*\Psi give the probability of finding the releativistic electron in a given volume of space but what exactly do the four components really mean. I have read in many Pop physics books that the 4...

Real and reactive components of current?? Homework Statement Hi there. so I am trying to solve this problem but i don't understand some of the terms used,which is obvoiusly causing some trouble. Any explanation of the terms or help would eb much appreciated. A coil having a resistance of 20...

Homework Statement Calculate the components of the vector representing a velocity of 40m/s and an 55 degree angle. Homework Equations none The Attempt at a Solution 180-55=125 40(sin125)=33 40(cos125)=-23 (-23,33)m/sec correct?

Homework Statement I read in my textbook that "in the instantanuous reference frame (IRF) [u^{'\gamma}]=(c,\overline{0}) imply that the components of the 4-acceleration in the IRF are [a^{'\gamma}]=(0,\overline{a'}) " Homework Equations The Attempt at a Solution I don't know why they...

A hammer slides down a roof that makes a 32.0 degree angle with the horizontal. a.) What are the magnitudes of the components of the hammer's velocity at the edge of the roof if it is moving at a speed of 6.25 meters per second? b.) Calculate the components of the hammer's velocity at...

Homework Statement In a crash test a car with a mass of 1273kg collides with a wall. The x components of the initial and final speeds of the car are 22 m/s and 2.2 m/s. If the crash lasts for .16s what is the magnitude of impulse? Homework Equations p=ms impulse= change in momentum...

The easterly and northerly components of a car’s velocity are 24 m/s and 30 m/s, respectively. In what direction and with what speed is the car moving? In other words, what is car’s velocity. Hint: this question requires input from Trigonometry for the right angle triangle. Thus, the car...

Homework Statement This problem is actually a worked out solution BUT i don't see where certain things come from...namely how the forces are split into their components. If you look at the attachment, you can see the weight is split into components mgsin and mgcos...I just do not see how...

Homework Statement a box weighing 388.5 N on an inclined plane that makes a 36.1 degree angle with the horizontal. compute the component of the gravatational force on the inclined plane in N Homework Equations The Attempt at a Solution would you find the gravatiational...

Homework Statement I have a vector A and B in spherical coordinates, and I need to find: part a) The vector component of B in the direction of A. part b) The vector component of B perpendicular to A Homework Equations dot product cross product The Attempt at a Solution...

What is the mean of bilateral and non-bilateral components in the electrical circuit?