Component Definition and 568 Threads

Can someone please show how to write as ?

So I was reading the Charles&Wheeler book and this came out of nowhere: but how is it derived in the wholeness?

Hi PF! Given a list of numbers, how do I select the element that has the smallest real part? I don't just want the real part though, I want the entire component. I googled this and tried a few things but nothing works.

I only need help with how to find the component of gravity along the curve. See image.

## \newcommand{\ihat}{\hat{\boldsymbol{\imath}}} \newcommand{\jhat}{\hat{\boldsymbol{\jmath}}} \newcommand{\khat}{\hat{\boldsymbol{k}}} ## Several times now I've seen the following technique for deriving the component form of the dot product. It always felt clean and simple until last night when...

Good evening, it's been a while since my last thread here in PF. I will go straight to the point: I want to measure temperature using an NTC3950 thermistor. My circuit diagram is as follows: It's basically a voltage divider. By varying the temperature acting upon the thermistor the output...

The thing is in page p.347 Taylor, it is said that the component is: g_tan = Omega^2*Rsin(theta)cos(theta) However the angle between the centrifugal Force and the axis normal to the direction of the grav Force is actually 90 - theta, I am not really getting where I am going wrong understanding...

I do not understand why the tan component for a gravity affected by the centrifugal force: g = Ω^2 * R * sinθ * cosθ So I tried to draw this: using a "big" X-shaped axis where the / component goes along the main gravity direction while \ points normal to / this direction. Then the centrifugal...

Homework Statement Let a and b be non-zero vectors in space. Determine comp a (a × b). Homework Equations comp a (b) = (a ⋅ b)/|a| The Attempt at a Solution [/B] comp a (a × b) = a ⋅ (a × b)/|a| = (a × a) ⋅b/|a| = 0 ⋅ b/|a| = 0 Is this the answer? Or is there more to it?

Hey guys, I reading over Taylor's Classical Mechanics book. Chapter 9, Centrifugal Acceleration Section. In p.346 he mentions that for a free fall acceleration: g = g_0 + Ω^2 * Rsinθ ρ Where its radial component would be...

Homework Statement A 0.54 kg block of ice is sliding by you on a very slippery floor at 2.1 m/s. As it goes by, you give it a kick perpendicular to its path. Your foot is in contact with the ice block for 0.0034 seconds. The block eventually slides at an angle of 21 degrees from its original...

I have been reading about four momentum. There are four component vectors, three spatial, momentum, components and a time, energy, component. They each have a direction. I understand direction for the momentum components, being in the direction of the respective spatial components of the...

This is a simple and maybe stupid question. Can you take a derivative of a vector component with respect to a vector? Or even more generally,can you take the derivative of a component of a tensor with respect to the whole tensor? For instance in the cauchy tensor could you take the xx component...

i don't understand, Why The component of the total spin in the direction of H is ##M_s = \frac{1}{2}(N_{up}-N_{down})##

Homework Statement A flag pole consists of a 80 kg rod of length L = 2 m with a 10 kg point mass attached to the end. The pole is hinged at the bottom and is tied to a horizontal cable as shown. 1. What is the x-component of F (Fx) exerted by the wall on the flag pole at the hinged point A...

I am trying to use PCA to classify various spectra. I measured several samples to get an estimate of the population standard deviation (here I've shown only 7 measurements): I combined all these data into a matrix where each measurement corresponded to a column. I then used the pca(...)...

Homework Statement I am studying co- and contra- variant vectors and I found the video at youtube.com/watch?v=8vBfTyBPu-4 very useful. It discusses the slanted coordinate system above where the X, Y axes are at an angle of α. One can get the components of v either by dropping perpendiculars...

Homework Statement The rigidly connected unit consists of a 2.5-kg circular disk, a 2.8-kg round shaft, and a 4.2-kg square plate. Determine the z-coordinate of the mass center of the unit.Homework Equations ∑zm/∑m The Attempt at a Solution Circular disk: mass = 2.5 kg z = 0 zm = 0 Round...

Homework Statement The figure below shows a thin, vertical rod of length L with total charge Q. The indicated point P is a horizontal distance x from the one end of the rod. What is the electric field at point P. Express your answer in component notation in the two blanks below. L = 5.0 cm, Q...

What does it mean if a simple network consists of n nodes in a single component? More specifically, what is does it mean to be in a single component?

Earth is moving through space. If I throw a ball straight up, it falls down to me and is not left behind. This is obviously because it already carries the momentum of Earth's movement. But if I fire a photon straight up, does it also carry a velocity component in direction of Earth's movement...

Homework Statement For the RDF, we take the square of the radial component multiplied by 4pi r2 (the surface area of a sphere) and this gives us the probability density of finding an electron r distance away. Whats the point in multiplying it by r2? Homework Equations RDF= r2[R(r)]2 The...

Background: an ordinary wire supports an external radial electric field proportional to voltage, and an internal axial field equal to current times resistance per unit length. The present question is whether the internal axial field has an external counterpart. The original question that...

Are there any theories in physics that allow for a time component of the various vector quantities besides the x,y,z components? For example the velocity of a particle to have a time component ##v_t## besides the x,y,z components ##v_x,v_y,v_z##

1. Homework Statement This is the sample answer to the circuit they ask to draw. I get the comparators, the inverter and the Gate. That’s all clear. Then they wanted a switch that needs to be used to end the sound alarm, regardless of comparator output. I assume this the box labelled M...

This board is out of an appliance test station (Clare A433). The unit tests the Earth circuit, insulation resistance, load current and also has a HV flash probe to check for flashover from live parts to metal casings. The insulation resistance function is faulty - it’s meant to apply 1 kV ac...

Hi, I'm currently working on a project for which I have to determine the Life-Time of a certain mechanical component within a certain confidence interval. By sampling a small number (let's say n = 10) of these components and measuring the number of hours until failure, I want to determine this...

Homework Statement I'm trying to show the Eigenstate of S2 is 2ħ^2 given the matrix representations for Sx, Sy and Sz for a spin 1 particle Homework Equations Sx = ħ/√2 * \begin{pmatrix} 0 & 1 & 0 \\ 1 & 0 & 1 \\ 0 & 1 & 0 \end{pmatrix} Sy = ħ/√2 * \begin{pmatrix} 0 & -i & 0 \\ i & 0 & -i...

I need a component that can provide a time-delay in my circuit. I recently bought a stabiliser for my refrigerator. It has an intelligent time-delay system: if the stabiliser is switched on and off within three minutes, then a time delay of five minutes is induced, otherwise it just starts...

Hi, I have a question about ac component and dc component of a source. For example, there is a current source connected directly to a resistor. If the current source supplies a sine wave with no dc offset, then I understand that power supplied by dc component is zero, and so power absorbed by...

I am reading "Multidimensional Real Analysis I: Differentiation" by J. J. Duistermaat and J. A. C. Kolk ... I am focused on Chapter 2: Differentiation ... ... I need help with the proof of Proposition 2.2.9 ... ... Duistermaat and Kolk's Proposition 2.2.9 read as follows: In the above text...

Homework Statement Rank the vertical component of the velocity of each projectile at they moment they return to the ground, greatest first. Homework Equations n/a The Attempt at a Solution This is a conceptual homework, so there are no numbers involved. But looking at the picture i was...

Homework Statement Rank the vertical component of the initial velocity of each projectile, greatest first.Homework Equations n/a The Attempt at a Solution I took the sine of the angles, the angles are ranked B>A>C>D you can see this visually as well as looking at the maximums. why isn't this...

Could someone please help me identify this and how to test it it is inside a soundbar that someone brought to me to look at as sound was only coming out of one side everything else looks ok apart for these or at least one doesn't look good and has some heat marks. any help would be appreciated.

Homework Statement [/IMG] In this problem I am trying to understand the solution for finding the net force on charge 3 due to charge 1. However, I am getting stuck already on F31x. Homework Equations F=kqq/r^2 The Attempt at a Solution I found theta by tan-1(0.5/1)=26.565degrees r= sqrt...

Homework Statement A -12nC charge is located at (x,y) = (1.0cm, 0cm). What are the electric fields at the positions (x,y) = (5.0cm, 0cm), (-5.0cm, 0cm), and (0cm, 5.0cm)? Write each electric field vector in component form. Homework Equations E=k(q/r2) The Attempt at a Solution I was able to...

1. Homework Statement Hi, I have done part a) by using the expression given for the lie derivative of a vector field and noting that if ##w## is a vector field then so is ##wf## and that was fine. In order to do part b) I need to use the expression given in the question but looking at a...

Homework Statement Find the general formula for the x component of the electric field if the charge density p varies only with x throughout all space. Homework EquationsThe Attempt at a Solution I started using the poisson equation \bigtriangledown \bullet \bar{E} = \frac{p}{\varepsilon_{0}}...

Homework Statement Pin A and C are the same, however in the solution manual it shows that C does not have a y component. Why is that? Homework EquationsThe Attempt at a Solution

Hi guys, I was wondering how tight the molecules that hold the cellular components are? Is it possible for a lipid in a cell membrane to sort-of-speak,"fly off" or kinda get "pushed out"? And then find itself absorbed into another cell wall or nowhere at all. And can that apply to any other...

A stationary Monopole exist at the Origin. I am trying to get an understanding of the time derivative of a Four-Vector of ##\vec{B}## and ##\vec{E}## ##\vec{B} = B_r \hat r + B_\theta \hat \theta + B_\phi \hat \phi + \frac{1}{c}B_t \hat t## ##\vec{E} = E_r \hat r + E_\theta \hat \theta +...

Hello Guys, I am having a heat component on a PCB, constant voltage is applying on the heat source for a period of time.I can measuring the temperature of the heat component before and after the testing. Just wondering is there any way to find out the specification of the heat component ? Like...

<Moderator's note: Moved from a technical forum and therefore no template.> Homework Statement A proton (q = 1.60 x 10-19) is in a uniform, 0.500 T magnetic field. This proton has velocity components vx = 1.50 x 105, vy = 0, and vz = 2.00 x 105 m/s. Find the force on the proton at t=0. 2...

Homework Statement The component of nucleus' energy due to the strong interaction (with ##Z,A >>1##) can be written as ##U_f = E_f A^r Z^p##, (##E_f## is a constant with the dimension of a energy). Find ##r,p## knowing that (i) strong interaction doesn't distinguish between protons and...

Hi Guys, I am modelling a simple Magnetic field in ANSOFT Maxwell 15.0. My geometry is a linear array of ring magnets (NdFe30) and spacers (iron) (OD-25mm, ID-13mm). they are arranged in a co-axial fashion and in alternating order (spacer-magnet-spacer-magnet-spacer ect.) and the magnets are...

Homework Statement What is the force F on the 1.0 nC charge at the bottom in the figure? Give your answer in component form. In the figure, the +!.0 nC charge is adjacent to a +2.0 nC charge to the left at a 45° angle, a -6.0 nC charge directly above, and a -2.0 nC charge to the right at a 45°...

Trying to identify a method of improving angular repeat-ability and reliability of our measurement devices. The way this will be done, is by doing research and utilize an alternative form of measurement and detection. This method will involves adding a sensor to the existing fixtures and...

Homework Statement A ship traveling 55 degrees [W of N] is 65km farther north after 3.0h. What is the ship's velocity. Homework Equations sin, cos, tan? The Attempt at a Solution I know that Vground= Vair + Vwind, and that Vground = Vboat + Vcurrent, but I'm not sure if that is even relevant...

I'm not sure if this is the right thread to post this, but here it is! I'm currently trying to create a prop for one of my friends, since I found it an interesting challenge. This is a simple drawing of what I'm trying to do: The button, battery and so on it not my problem, it's that I've no...

When choosing Line Codes (e.g. Bipolar or Polar formats) for transmission of bits over a communication channel such as twisted pairs, it is always desirable that no DC component is present for a particular choice. According to William Stallings (Digital Communication Book) "With a dc component...