Components Definition and 949 Threads

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)^(\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...

Hey can someone explain the significants of the different components of the Compton spectrum? I know that the Compton edge comes from the incident angle of the photon approaching 180 degrees and that its the maximum energy that can be transferred from the photon to the electron without reaching...

Question Reads: An artillery unit has a 105 mm howitzer with shells that leave the muzzle at Velocity 472 m/s. Firepower fixed but angle at which it is fired (60\circ) is not. A What should you do? Increase or decrease the angle? B As an artillery officer in physics training, where di the shot...

Homework Statement I wanted to show that a particular wave is composed of the 4 frequencies W = W0 +/- W1 +/- W2 The equation for this FM wave is y(t) = Acos(W0t+W1COS(W2t)t ) I tried showing the different frequency components by performing a Fourier transform on the equation y(t)...

Hi, I need to make a demonstration that shows that white light is composed of different colors. I do not have a prism, and will not be able to obtain one in time. I have a white LED flash light, and I tried some improvisations with different objects (bottles, glasses etc), but none seems to...

Homework Statement I badly needed an urgent help in Matlab. I have to create a Matlab function (M-File) that will output the low (flow) and high (fhigh) frequency components of a DTMF signal given the numeric symbol (x) (* and # not included). I don't even know where to start since...

What is this ( the black colour one )?

For n \geq m \geq 0, V is an m dimensional subspace of \mathbb{R}^n and X=\mathbb{R}^n \backslash V. Let \pi_0 ( X ) = X / \sim be the identification space of X where x_0 \sim x_1 if there exists a path \alpha : [0,1] \rightarrow X with \alpha(0)=x_0, \alpha(1)=x_1. I'm asked to find the...

Homework Statement An amusement park ride consists of a rotating circular platform 8.07m in diameter from which 10kg seats are suspended at the end of 2.87m massless chains. When the system rotate, it makes an angle of 37.3\circ with the vertical. The acceleration of gravity is 9.8m/s^2...

Homework Statement Find the length of the path traced out by a particle moving on a curve according to the given equation during the time interval specified in each case. r(t) = (c2/a)cos3t i + (c2/b)sin3t j where i and j are the usual unit vectors, 0 \leq t \leq 2\pi, c2 = a2 - b2, and 0...

Homework Statement 20m 52deg W of N Homework Equations trig functions The Attempt at a Solution I got 20cos52=12.3m west and 20sin52=15.8m north yet the answer in the book says 12.3m north and 15.8m west. I don't understand...I thought cos was the x component and sin was the...

Homework Statement question 2 http://web.viu.ca/hearnd/Courses/Phys121/F02Test2/Page%201.htm" The Attempt at a Solution I have been trying to do question 2 on the practice test but I am stuck. I was trying to calculate the final velocities along each vector by using the equation...

Hi there, Having a bit of trouble working something out for a lab experiment at uni - not sure if this really counts as a 'homework' question - but if it does, moderators, feel free to move it there! So we've got linearly polarised laser light hitting a quarter waveplate to create...

Homework Statement Body A of mass 3 kg is moving int he x+ direction with a speed of 14 m/s. Body B of mass 4 kg is moving in the -y direction with a speed of 7 m/s. What are the x and y-components of the velocity of the CM of the two bodies? The answer is (6m/s,-4m/s). Homework...

I have just looked at a problem in an A level physics book which asks you to work out the forward force acting on a boat. There are 7 N of force going straight ahead and a further 5 N of force going 30 degrees to the left. In order to work out the forward force of the boat the book says this...

Excercise Exercise 1.6 of Roger Blandford and Kip Thorne's online textbook Applications of Classical Physics: "In Minkowski spacetime, in some inertial reference frame, the vector A and second rank tensor T have as their only nonzero components A0 = 1, A1 = 2, A2 = A3 = 0. T00 = 3, T01 = T10...

Homework Statement A simple one mark question which is doing my head in. 'There is a lorry traveling up a slope. Angle of slope is 46 degress with the horizontal and the weight of the lorry is 240000N. A resistive force of 1200N down the slope acts on the lorry as it travels up the slope at a...

Years ago, it was talked about how light could be used instead of electricity. How far have we come with this idea? Do we have today any kind of transistor/diode/capacitor version that uses light instead? I was also wondering if there’s such a device that looks like a solar panel, but is...

In the first problem here http://elmer.tapir.caltech.edu/ph237/assignments/assignment2.pdf , we're asked to show from the duality relation \mathbf{e}^{\mu} \cdot \mathbf{e}_{\nu} = \delta^{\mu}_{\nu} and the expansion of a tensor \mathbf{T}\left(\underline \quad, \underline \quad...

If in some frame I define a geometrical object as having 3 space components, how do I then find the time component component it must have? I've defined a geometrical object in some frame as having components Ax, Ay, Az defined by: d/dx Ax = Fx, d/dx Ay = Fy, d/dy Ay = Fy I require that...

The metric of Euclidean \mathbb{R}^3 in spherical coordinates is ds^2=dr^2+r^2(d \theta^2 + \sin^2{\theta} d \phi^2). I am asked to calculate the Christoffel components \Gamma^{\sigma}{}_{\mu \nu} in this coordinate system. i'm not too sure how to go about this. it talks about ds^2 being...

Homework Statement You throw a ball toward a wall with a speed of 32 m/s at an angle of 40.0° above the horizontal directly toward a wall. The wall is 22.0 m from the release point of the ball. (a) How far above the release point does the ball hit the wall? (b) What are the...

Homework Statement What is the derivate of the following equation? v(t) = \dot{r}\hat{r} + r \dot{\hat{r}} = \dot{r} \hat{r} + r \dot{\delta} \hat{e} where e is dependent on the angle, delta.The Attempt at a Solution My answer: We know that \hat{r} = \frac {r} {|r|} => \hat{r} = \frac...

Homework Statement You throw a ball toward a wall with a speed of 32 m/s at an angle of 40.0° above the horizontal directly toward a wall (Fig. 5-33). The wall is 22.0 m from the release point of the ball. (a) How far above the release point does the ball hit the wall? not sure what...

A coaster heater with nichrome wire <-- circuit and components advice Okay, for a certain... project I have, I need to make a little heater-type thing that would most likely go in the base of a mug. The concept is, it keep your hot drink hot. No more cold tea or coffee. But for the sake of...