Displacement Definition and 999 Threads

Consider the figure attached. Assuming that the coordinate system is placed at the centre of the cube and Plane x-y is the plane of material symmetry, x_i represents the position vector of ith point, and u(x_i) represents the displacement of ith point. Due to symmetry, the displacement vector...

Is there a sensible way of defining a displacement vector in a general manifold? That is, the displacement vector being the difference between position vector at two different points... the problem is that these two different points have, in general, different tangent vector spaces. Never the...

Homework Statement Then we are asked to determine the initial discplament, velocity and acceleration of the midpoint of the string. Homework Equations I guess we should use equation x(t)=Asin(wt+phi) The Attempt at a Solution My attempted solution is to use the above equationa and put t=0...

Homework Statement Introduction to Electrodynamics (4th Edition) By J Griffth Ch.4 Problem 4.18 The space between the plates of a parallel-plate capacitor is filled with two slabs of linear dielectric material. Each slab has thickness a, so the total distance between the plates is 2a. Slab 1...

Is there a way of subtracting two vectors in spherical coordinate system without first having to convert them to Cartesian or other forms? Since I have already searched and found the difference between Two Vectors in Spherical Coordinates as...

To put this in another way, is there some reason from first-principles as to why we have j as the spatial component of the four-current rather than the total current density which includes the displacement current? Has anyone tried to see what the experimental consequences of this would be? Kevin M.

Homework Statement : A 3.0 kg block starts with a speed of 18 m/s at the bottom of a plane inclined at 41° to the horizontal. The coefficient of sliding friction between the block and plane is μk = 0.22. a) Use the work–energy principle to determine how far (in m) the block slides along the...

Homework Statement A projectile is launched at an angle of 60° from the horizontal and lands 99 s later at the same height from which it was launched. 1) What is the initial speed of the projectile (in m/s)? I already figured this out to be 560.16 m/s 2) What is the maximum altitude (in m)...

Homework Statement Lead (II) nitrate + manganese (IV) iodide -> _______ 2. The attempt at a solution So I think I know how to do this 2 Pb(NO3)2 + MnI4 -> 2 PbI2 + Mn(NO3)4 I'm just a bit confused because with single displacement you have to check the activity series? And so I'm not sure if I...

Homework Statement If x1 and x2 are the initial and the final position vectors of particle respectively. Then, displacement of the particle is delta x = x2 - x1 But my question is how to know that the displacement is negtivive and its direaction? (could you provide a practical example so that I...

If ##\theta## is angular displacement, does ##\frac{d^2\theta}{dt^2} = (\frac{d\theta}{dt})^2##? Proof?

1. A cyclist rides 3.0 km due west, then 16.0 km 23° west of north. From this point she rides 9.0 km due east. What is the final displacement from where the cyclist started (in km)? (Express your answer in vector form. Assume the +x-axis is to the east, and the +y-axis is to the north.) Picture...

Homework Statement A man walks 120m [S 23 E] Then turns and walks 60m [S 10 N] draw a careful sketch of this situation and then solve for the displacement, you do not have to solve for the direction 2. Relevant equation: Cosine law The Attempt at a Solution Solution attempt is attached as a...

Homework Statement Instructions for finding a buried treasure include the following: Go 66.0 paces at 256deg, turn to 140deg and walk 125 paces, then travel 100 paces at 169deg. The angles are measured counterclockwise from an axis pointing to the east, the +x direction. Determine the resultant...

Homework Statement What happens to the distance traveled in the same amount of time as an object accelerates?Homework Equations None[/B]The Attempt at a Solution None[/B]

Homework Statement A ball is thrown off of a building in the +x direction at 10m/s. If the ball takes 2s to land, how tall is the building? Homework Equations Vf=Vi(a)(t) Δd=Vi(t)+1/2(a)(t) Vf^2=Vi^2+2(a)(Δd) Δd=1/2(Vf-Vi)(t) The Attempt at a Solution Vf: 0m/s Vi: 10m/s a: -9.8m/s^2 t: 2s...

Homework Statement A Rocket with an engine that causes a net acceleration of 4m/s^2 launches with an initial velocity of 20m/s. The engine fuel lasts for 0.8s. A secondary engine then fires causing a net acceleration of 2m/s^2 for 0.6s How far off the ground is the rocket when the secondary...

Homework Statement H------S-----C Sandra is represented by S, Home is represented by H, and C is represented by commercial mall. If Sandra walks home, what is her displacement if the commercial mall is the origin? The distance between H and S is 2 miles and the distance between S and C is...

I am struggling with what seemed to be a simple problem and any help would be greatly appreciated. I have to determine the amount of pressure created when air is displaced buy gasoline flowing into a tank. The gas enters the tank at 10gpm. The entrance has a diameter of 1.5" and the vent has a...

I had a question in my textbook asking why is the magnetic field generated by the displacement current in a capacitor more difficult to be measured than the magnetic field generated by the current in the wire. But I don't know how is this type of magnetic field measured, I only know that they...

<< Mentor Note -- New poster has been reminded to use the Homework Help Template when posting schoolwork questions >> A 25.0 kg sled is pulled (assume frictionless) with a force of 15.0 N at an angle of 20 degrees above the horizontal. (a.) How long will it take to pull the sled 25m? (b.) How...

Hello, I'm going through electrodynamics by griffiths.. I'm unable to understand the case 1) for no free charge and 2)when curl of P(polarisation ) is zero at the boundary Then what can we comment about D the displacement field having both it's divergence and curl zero at the boundary. Please...

Homework Statement A transverse traveling wave on a string starts at x = 0 and travels towards x = ∞. The wave has an amplitude of 1.20 m, wavelength of 4.60 m and travels at a speed of 14.3 m/s . At time t = 0.0 s the displacement at position x = 0.0 m is 1.20 m. (b) Calculate the displacement...

Homework Statement A 50 lb weight is attached to the end of a spring. The spring is stretched 6 inches. Find the displacement from equilibrium of the weight after (π/8) seconds, if the weight is released from a point 2 inches above the equilibrium position. Round to the nearest length of a...

Question: A car accelerates from rest at a rate of 2.0m/s^2 [N]. What is the displacement of the car at t=15s? I tried (2m/s^2 [N])(15s)=30m/s [N] (30m/s [N])(15s) =450m [N] but guess wrong :( *Because the answer is 230m [N] How to solve this? anyone

Griffith's writes in chapter 7 electrodynamics that D1.a - D2.a = sigma. a. But minus sine comes when we evaluate the dot product first. How does the minus sign occur without evaluating the dot product?

Hi, Im wondering if / how commercial FEA codes take into account additional unbalance forces due to the off-axis displacement of masses. For instance, if I am modeling a jeffcott rotor with an unbalance, I would traditionally represent this unbalance with a force that increases with speed^2...

Homework Statement How could I get the distance traveled by a vehicle having only its constant acceleration as data? Homework Equations I know that the acceleration is the derivative of the velocity and the velocity is the derivative of the position. The Attempt at a Solution I don't know how...

Homework Statement A wire with conductivity σ carries current I. The current is increasing at the rate dI/dt. Show that there is a displacement current in the wire equal to e0/σ⋅dI/dt Homework Equations Id = e0⋅dφ/dt dφ/dt = dE/dt ⋅ A (This is usually true, I'm not sure if it's useful in...

Let x = v_0\cos \alpha _0 t and y = y_0 + v_0 \sin \alpha _0 t - \tfrac{1}{2} gt^2, where v_0 is speed at time t = 0, \alpha _0 is the angle between positive x-axis and initial velocity vector (\alpha _0 \in (0, \pi/2)), t time in seconds, y_0 >0 the y coordinate at time t=0, g acceleration...

Homework Statement A block slides down a frictionless incline (30 degrees above horizontal) for L=1.4m until it meets a horizontal surface with coefficient of kinetic friction 0.3 before coming to rest. Use work and energy to find the distance that the block slides on the horizontal surface...

Homework Statement An organ pipe with one end open and the other closed is operating at one of its resonant frequencies. The open and closed ends are respectively: A. pressure node, pressure node B. pressure node, displacement node C. displacement antinode, pressure node D. displacement node...

Homework Statement [/B] Student runs 3.4 laps in 30 minutes on a circular track with a radius 100m, She begins at the western most point of the track and travels clockwise. after this she gets sidetracked by the ice-cream truck, and follows it due west for twenty seconds at 4m/s. a) determine...

From the above description of Virtual displacement, what I understood is: virtual displacement is another name for ## dx_i ## when dt = 0. I didn’t understand its physical interpretation. Could anyone please put some more light upon it?

Homework Statement We release m_o = 1 kg object from h=1m height. How much does the Earth move (x)? I just need the comfirmation if I did correctly? Homework Equations Conservation of momentum: m_o v_o + m_E v_E = 0 The Attempt at a Solution I wrote the energy conservation law as (beginning...

Homework Statement You enter an antique classic car road rally with your 1956 Studebaker Golden Hawk. The rally course consists of the following segments: travel north at 25.0 m/s for 30.0 min, then east at 32.0 m/sfor 40.0 min, and finally northeast at 30.0 m/s for 50.0 min. For the entire...

Homework Statement A). A particle starts from rest and moves for 10 s with an acceleration of 2 m/s^2. B). For the next 20 s, the acceleration of the particle is -1.2 m/s^2. C). What is the displacement of the particle at the end of the 30 s. 2. Homework Equations Kinematic equations The...

In humans, as well as in animals, aggression occurs more often in men. Frustration produces a readiness for aggression. When the source of the frustration cannot be challenged, the aggression gets displaced onto an innocent target with violent behaviour. Displacement behaviour is associated with...

Homework Statement A wave pulse on a string is given by D(x) = D[0][/SUB]/(x[2][/SUP]+a[2][/SUP]), where D0 is a constant with units of cm3 and a is a constant with units of meters. a. If the wave moves along the string at a velocity of v in cm/s, what is the transverse velocity of particles...

What will happen if the center of mass of Earth was displaced for some distance away from its origin? Will that affect the Earth's rotation around itself or even around the Sun?

Homework Statement A projectile is launched: Horizontally, with an average displacement of 49 cm Vertically, with an average displacement of 28 cm At a 23 degree angle, with average displacement of 126 cm Homework Equations The Attempt at a Solution I am sad to say I don't know how to do it...

Please do excuse if certain terms are not the most technical ones as I am translating the problem from another language. Do feel free to kindly inform me of the more technical term that substitues the sloppy one I've used. (And do excuse the generally bad English overall :-)) 1. Homework...

Homework Statement Your task is to estimate how far an object traveled during the time interval 0≤t≤8, but you only have the following data about the velocity of the object. *First image You decide to use a left endpoint Riemann sum to estimate the total displacement. So, you pick up a blue...

ok this is due 011418 I think its correct but suggestions didn't know the best format for this

Homework Statement I'm trying to figure out the setup of an experiment I have to complete. The experiment calls for a rubber band to be secured by rods on the sides, and for a clothespin to be attached to the rubber band. I have to figure out how far back the clothespin needs to be pulled down...

Hi everyone. I just have a very quick question regarding position time graphs and velocity time graphs for a pendulum. As we know, at the maximum displacement, the acceleration is at its maximum and the velocity is zero, and vice versa when the displacement is zero. When we put this...

An airplane trip involves three legs, with two stopovers, The first leg is due east for 620 km; the second leg is south- east (45^\circ) for 440 km and the third leg is at 53^\circ south of west, for 550 km a. the first thing is to see if there is a way to graph this either with Desmos or...

Hi, I would like to ask why center of element displacement is always estimated with polynomial equation involving nodes displacement (like in attachment/picture)? Also I know that if nodes' number increase for an element then displacement of center of element is estimated with higher order...

hi, we are a few non-native English speaker physics teacher and we wrote some questions for an assessment book but we can't be sure about this two similar question. a) are they accurate for rules of English, are we use correct terms is there a necessary change? b) are they accurate for rules of...

Hello everyone I have the following question regarding numerical integration twice from acceleration to displacement. Suppose that a particle has acceleration function of a = tt (which has non-elementary integral), to find the velocity it is easy as I can use Simpson's rule for numerical...