Displacement Definition and 999 Threads

The displacement y(t) of a driven mass-spring system is described by the differential equation 2y'' + 14y = 8 cos(2t) with initial value conditions y(0) = 0; y'(0) = 0. (a) Is this system damped or undamped? (b) Is this system resonant? (c) Write the solution to the IVP in terms of a product...

Homework Statement Displacement current arises due to a)changing electric field b)changing magnetic field c)both Homework Equations The Attempt at a Solution I think the answer should be c) because we already know that changing electric field is responsible for displacement current...

Homework Statement Find the displacement of wedge when the smaller block reaches the bottom of wedge. Homework Equations See attached diagram. The Attempt at a Solution For the smaller block, N = mg \cos \theta \\ mg \sin \theta = m v \dfrac{dv}{dx} For wedge N \sin...

So, consider an average shorted capacitor connected to an alternating current power source. This capacitor has a certain capacitance, voltage, displacement current, etc. associated with it. Assume the dielectric of this capacitor is air. Let us increase the frequency of this source. Recall that...

I was looking at the Wikipedia entries on Time Travel and the Grandfather paradox and noticed a paragraph on the so-called Huggins Displacement Theory. I haven't been able to find the source although I assume it's originator was the Victorian astronomer Sir William Huggins. Does anyone know of...

A block of 5kg connected to the free end of a spring is hanging from the ceiling and is in SHM. At t=0, the block is traveling upwards and its displacement is 15cm from the equilibrium. The block reaches its maximum displacement 0.3s later. What is the general equation of the displacement of the...

Hi, I know that for the electric displacement vector field \oint D.dS=\sum Q_{c} does this mean that I can just use a Gaussian surface to explain why the displacement vector field for a sphere is radial or not without having to talk about the electric field. If not what is the reasoning to...

Homework Statement A car is slowing down at a rate of 20 km/h/s. How far does it travel if its original velocity is 50 km/h and its final velocity is 5.0 m/s? Homework Equations vf2 = v02 + 2aΔx The Attempt at a Solution vf2 = v02 + 2aΔx Δx = (vf2 - v02) / 2a = (182-502) /...

This isn't a homework question, however I'm curious if displacement fields can simply be added to find the total displacement field at some point. My instinct tells me this should be true. For linear media, D=εE. Since electric fields can be superimposed upon each other, shouldn't the same be...

[b]1. A person going for a walk follows a path. The total trip consists of four straight-line paths. At the end of the walk what is the person's resultant displacement measured from the starting point? The books says the answer is 240 m at 237 degrees. [b] Vector A is 100m East at 0°...

Homework Statement Calculate the mean square displacement x2 of the particle from its equilibrium position.Homework Equations ∫ from -\infty to +\infty of Nv2 * Hv(y) * e-y^2 dy Since y=x/\alpha, \alphady=dx yHv = vHv-1 + (1/2)Hv+1The Attempt at a Solution...

Homework Statement Write a Matlab function to plot the displacement of a cantilevered beam under a point load. Annotate the figure’s axes and title the figure. In addition to creating the plot, the function should report (in the figure’s title!) the maximum deflection and angle between the...

Homework Statement Given: Work = 12000 J Weight: 800 N displacement: 200 m Force: 120 N angle = ? Homework Equations W = Fd W = Fd cos θ cos -1 (W/Fd) = θ The Attempt at a Solution First I added the 2 forces together. 800 + 120 = 920 N calculated work; 200...

Homework Statement a person uses a cord to pull a boat of 1000 kg along 50 meters. The cord makes a 45° angle. If the applied work to the boat is 40 N, how much work is done? Given: mass = 1000 kg displacement = 50 meters the angle = 45° applied work = 40 N Homework Equations Work = Fd...

Homework Statement Sophie walks 800 M [N], then 500 M [W] and finally 400 M [SE] in 25 minutes. What is her displacement and average velocity? (Using scale diagram) Homework Equations a2 + b2 = c2 The Attempt at a Solution I tried calculating by creating separate triangles, but...

As an example of the manipulation of an electron beam, consider an electron traveling away from the origin along the x-axis in the xy plane with initial velocity vi= vii. As it passes through the region x = 0 to x = d, the electron experiences acceleration a = axi + ayj, where ax and ay are...

Homework Statement A particle is subjected to two simple harmonic motions given by x1=2[sin(100πt)] x2=2[sin(120πt+{π/3})] where x is in centimetre and time is in seconds. Find the displacement of the particle at t=1/80 Homework Equations The Attempt at a Solution The...

Homework Statement Derive a general formula for the horizontal distance covered by a projectile launched horizontally at speed vi from height, h. The Attempt at a Solution vyf = vyi -gt t = vyf/g x = vxi .t = vi cosΘ (t = vyf/g) = [vi^2 sinΘcosΘ]/g

A motorist drives south at 32.0 m/s for 4.00 min, then turns west and travels at 55.0 m/s for 5.10 min, and finally travels northwest at 12.0 m/s for 2.00 min. Find the following values. 1.total vector displacement (m) at a _ degree south of west 2.average speed (m/s) 3. average velocity m/s...

One thing that I don't intuitively get about these currents is that in the conduction current the electric field is supposed to be static at each point of the conductor(there is no assumption of current intensity change), whilst the displacement current is defined as a varying electric field...

Homework Statement A particle undergoes two displacements. The first has a magnitude of 147 cm and makes an angle of 115 degrees with the positive x axis. The resultant displacement has a magnitude of 188 cm and is directed at an angle of 29.6 degrees to the positive x axis. a) Find the...

I'm wondering what happens in a single displacement reaction if the displacing metal (the one that's going into the solution) reaches it's solubility limit before the other metal in the solution is fully displaced. Say for example you had a strong silver nitrate solution, and you placed enough...

Homework Statement The time plot for a wave of wavelength 0.68 m, moving toward the right, is shown at x = 1.2 m in the figure below. (Assume the wave is a sine wave and that it is propagating to the right.) (a) What is the angular frequency of the wave? (b) What is the speed of the wave...

Homework Statement displacement and electric field related by D=εE where dielectric constant depends on volume and temperature. Express dD in terms of dV, dT and dE (this is just a part of a question but want to make sure I have it right else the rest of the 'showing' and proofs are never...

Homework Statement Hi, the problem is to calculate the the displacement current flowing through a surface that lies in between the two plates of a parallel plate capacitor as the capacitor discharges. I think I have a correct solution but I'm not 100% sure on why it's correct. Homework...

Hello there, I'm feeling really confused regarding this subject. If I place my zero-level at the water, and the positive direction upwards, that mean that the cliff is at +20m. If I then want to drop something off this cliff, then it is also simply traveling -20m downwards? Is this correct...

Hi All, I have acceleration data from an accelerometer. I tried integrating it twice to calculate displacement. The problem is that its off. I am expecting about 1 cm peak to peak but instead getting about 5 cm peak to peak. The Matlab program we use transforms the signal from a time to...

Hello, In Cartesian coordinates, if we have a point P(x1,y1,z1) and another point Q(x,y,z) we can easily find the displacement vector by just subtracting components (unit vectors are not changing directions) and dotting with the unit products. In fact we can relate any point with a position...

Homework Statement The end of a stretched string is forced to vibrate with a transverse displacement with A= 0.30 m and ω = 9.0 rad s-1. If the tension of the string is T = 4.0 N, and the mass per unit length is µ= 1.250 g m-1, calculate (a) the wave velocity, (b) the frequency of...

Homework Statement A stone is thrown vertically up with a velocity of 20ms/s. The maximum height reached by the stone and the total time taken by it to fall on the ground are (1) 20m and 2 s. (2) 20m and 4 s. (3) 40m and 2 s. (4) 40m and 4 s. Homework Equations The Attempt...

Can anyone help me with a formula to calculate the output of an airlift pump for a certain head, pipe diameter and pipe length? An air lift pump works on the principle of a fill/empty cycle (so many seconds to fill and so many to empty). I can calculate the pressure required for a particular...

Hi there, I was wondering how one can calculate the displacement due to buckling. I already checked the general displacement calculations, but they didn't amount to anything. So a simply supported beam under compression. Thanks!

Homework Statement Find the displacement using a midpoint Reimann sum with 4 subintervals of equal width. minute 0, 12, 24, 36, 48, 60, 72, 84, 96 ft/min -4, -4, 1, 4, 5, -6, 0, 5, 2 Homework Equations Displacement is the final position minus starting position. The Attempt at...

Homework Statement A certain coaxial cable consists of copper wire, radius a, surrounded by a concentric copper wire of outer radius b. The space between is filled with a dielectric with a relative permittivity of \epsilon_{r} = \frac{s}{a}, a \leq s \leq b Find the bound charges by using two...

Homework Statement An automobile has a 2.5-litre, four-cylinder, homogeneously charged, direct injected, four-stroke diesel engine. The maximum power output of this naturally aspirated engine is 200 HP at 4000 rpm. By turbocharging, the intake pressure is boosted twice as that for the naturally...

Please see attached for question. My problem is the initial displacement. i am told the first step is this kx + c(dx/dt) = unit impulse laplace transform kX + c(sX-x0)=1 from that i can see the initial displacement is included in the damper but why isn't it included in the...

I'm in an upper division undergrad E&M course using Griffths' Electrodynamics text, and I've been struggling to understand the intuition/motivation behind the displacement field, D. 1) D is defined as (ε0E + P), and is sometimes referred to as the flux density vector. In LIH dielectrics...

Question: Considering a parallel-plate capacitor that has a slab of dielectric with relative permittivity epsilomd = 5 and thickness d = 2 mm occupies half of the gap. The half is air with relative permittivity epsilom2=1 Denoting the electric field, and electric displacement in the...

http://postimg.org/image/8jqk9q6rp/ Can someone explain what "independent system displacement variables" are? http://postimg.org/image/eypl6edhh/ What are the independent system displacement variables in this diagram? thanks

Homework Statement A car travels 8 km E, then 8 km N, thrn 16 km W. What is the car's displacement? Homework Equations a^2+b^2=c^2 The Attempt at a Solution R^2=8 ^2+8^2 R=11.3 km. The resultant, R, seems to be 11.3, but I don't think this is the final answer, because I...

Homework Statement A spring hanging vertically has a spring constant of 56 N/m. When 2.1kg is hung from it, what is its vertical displacement? k=56 m=2.1 x=? g=9.81 Homework Equations mg = -kx The Attempt at a Solution -x = (2.1*9.81)/56 = 0.367875m Did I setup the...

Homework Statement Hi everyone, I am generalizing the following problem because I disagree with how the book solves the problem. A square mass 'm' is attached to two springs with identical constants 'k', in a configuration such that the springs mount to the left/right sides of the...

Homework Statement The position of an object traveling in a straight line at time t is given by s(t) = (2/3)t^2 + 4t^2 + 6t + 2. What's the displacement after 3 seconds? Homework Equations Displacement is final position minus initial position. The Attempt at a Solution Displacement at...

Hello there :), Homework Statement We have a molniya orbit with an eccentricity of e = 0.72 and a semi-major axis a = 26554 [km]. The task: Calculate the angular displacement of the ascending node Ω after 100 sidereal days Homework Equations Moreover I know from Wikipedia that a...

Respected all, If i push an object on the floor and drag it say 2 m in a straight line with force y. then the work done is force times displacement. that is 2y. first doubt which formula is correct one work = force multiplied by displacement or work = force multiplied by...

So what exactly is the difference between these two things? I understand their individual uses perfectly well, I think (or perhaps hope), but I'm a little unclear on what exactly a virtual displacement is. is it just a sort of imagined displacement that can't really occur, while a differential...

Homework Statement A damped oscillator has a displacement x as a function of time t given by x = e-t cos(∏t). Find the time at which the displacement is a maximum, when it is a minimum, and also nd the time when x is a point of inflection. Homework Equations x = e-t cos(∏t) The...

Homework Statement 3. Cody and Megan were trying to find a new tattoo parlor. They walked 58 m north and 32 m west. What was their resultant displacement? Homework Equations (32m)^2+(58m)^2=c^2 The Attempt at a Solution (32m)^2+(58m)^2=c^2 1024+3364=c^2 √ 4388m^2= √c^2 c=66.24 m...

Homework Statement If electric flux density (D) is given by the vector (xy,yz,xz) then calculate the displacement current density Homework Equations Jd = dD/dt The Attempt at a Solution if you differentiate D, in terms of t, then you just get 0..but that apparently isn't the answer

A clock has a 20cm minute hand. From the 6PM mark to the 10PM mark, for the tip of the minute hand, calculate: a) the displacement vector in unit-vector notation b) the average velocity vector in unit-vector notation c) the average acceleration vector in unit-vector notation d) calculate the...