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Questions tagged [displacement]

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Displacement Potential - Strain at a point

Consider the following statement of relative displacement, If the relative displacement is given by $(\vec{du},\vec{dv},\vec{dw})$ at a point $(x+ dx, y+ dy, z+ dz)$, which is near a point $(x,y,z)$ ...
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Strain gauge vs linear variable displacement transducer

For measuring deformation experiments, it seems that strain gauges and linear variable displacement transducers (LVDT) are commonly used. If the material exhibits geometric linearity, then couldn't we ...
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1answer
54 views

I need to find the drag coefficient of a pendulum bob [closed]

Is it possible to find the drag coefficient of a pendulum bob from the damping caused on it during swinging. I will be able to measure its displacement from the point of origin and plot it against ...
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1answer
71 views

Displacement current quantum mechanical interpretation?

while there are quite many classical explanations of displacement current to make Maxwell's equations work, see e.g. here: Displacement current - how to think of it , it sounds just a little bit like ...
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40 views

Is the direction of average velocity the same as that of average acceleration and that of displacement?

Average velocity is defined as: $\vec{\Delta v} = \frac{\vec{\Delta r}}{\Delta t}$, and average acceleration as $\vec{\Delta a} = \frac{\vec{\Delta v}}{\Delta t}$. It is apparant from these ...
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50 views

Are distance and displacement always frame independent?

I'm aware that distance and displacement, both are independent of reference frames, when the two frames are stationary wrt each other. Because the actual distance (or the shortest distance) between ...
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2answers
25 views

Displacement using work energy principle

How do you use the work energy principle to find the displacement of an object. With of course the mass, speed and friction forces given?
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39 views

Type of the boundary conditions effect on the natural frequencies of the system

I have a system that consists of the hollow pipe (90 cm aluminum + 40 cm steel, ca 1 cm in diameter), which is supported at the top. The pipe can be rotated by a motor at this point. The motor is ...
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54 views

Boundary condition: displacement

I have a controversial case. I have a rod, which is fixed from one end (constraint). From another end, I apply a compressive force, by pressing the rod down. So in a way I have a constraint, but at ...
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59 views

What is the displacement between $t=1$ and $t=8$? [closed]

Given the graph above, what is the displacement between $t=1$ and $t=8$?I thought this was a straight forward questions: It's supposed to be the area under the curve. Moving the time axis up to where ...
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50 views

Why are all the other sub-displacements included into to the total displacement? [closed]

Problem: During a jaunt on your sailboat, you sail $5\,\mathrm{km}$ east, then $5\,\mathrm{km}$ southeast, and then an additional distance in an unknown direction. Your final position is $20\,\...
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35 views

Travelled displacement - how do we take care of the possibility that it might be negative?

so this is a very basic question but I can't really find a full answer. So let's assume we have a point of mass $m$ travelling along the x-axis with a acceleration a. The travelled displacement is: $...
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What does the 'displacement' refer to in the definition of work?

The definition of work given in books is The work is said to be done by a force on a body, when the body is moved by the force through some 'displacement'. Now let a body of mass $m$ at rest. When a ...
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1answer
752 views

Why is work scalar and the dot product of force and displacement?

I asked many people why work is scalar. But the questions and the answers just cycles. My question : Why is work a scalar quantity? Their answer : Because it is the dot product of Force and ...
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2answers
288 views

Displacement vector vs position vector

Below are my attempted definitions of the two terms. Are these correct and do they clearly distinguish between the two terms? My understanding is that the displacement vector comes first and that is ...
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1answer
99 views

Spring Displacement

I am having trouble understanding the sign/direction of displacement for the equation F=-kx. I am not going to elaborate on what the specific problem is that goes along with this visual since that's ...
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1answer
180 views

Sign of work done by friction

In Goldstein's classical mechanics (3rd ed.) we read: "The independence of W12 on the particular path implies that the work done around such a closed circuit is zero,i.e. $$\oint \textbf{F}.d\...
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1answer
28 views

Orthonormality of displacement operators

I'm trying to prove that displacement operators are orthonormal in quantum mechanics, e.g.: $$\text{Tr}\{D^{\dagger}(\alpha)D(\beta)\} =\pi \delta^2(\alpha - \beta)$$ I used the completeness property ...
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2answers
102 views

What is the “displacement” of the object in the definition of work?

Work in physics is mathematically defined as force $F$ applied on an object multiplied by the displacement $d$ it covers in the direction of the force. In a system where, a restrictive force exists ...
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742 views

Calculating Intitial Position given the ratio between the last two seconds of free fall for 1D motion

I've tried this problem in multiple different ways and can't seem to come up with an acceptable answer. The question is, A rock is dropped from the top of a tall building. The rock's displacement ...
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1answer
69 views

What exactly is “displacement” and “velocity”? [duplicate]

I'm finding two different definitions for what the displacement of an object is: 1) How far the object is from a starting point in a specified direction (direction represented through a straight line ...
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2answers
75 views

Is my total work infinite?

Suppose I'm in space. I push a ball with a force. Then it will start to move and continue to move forever. So the distance traversed by the ball is infinite. So we know, $$W=F × S =F × Infinity ...
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73 views

Is the formula for work $W= \vec{F}\cdot \vec{s}$ or $W=\int_C \vec{F} \cdot d\vec{s}~$?

I'm pretty much not so much introduced to calculus (I am grade 11 of India and they teach integration part of basic calculus by the end of grade 12) so I would be glad if the answer will be much more ...
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Lattice to continuum transformation in one dimension (arbitrary range interaction)

Please help me convert the ionic displacement $u_l$ of the $l^{th}$ ion to a continuous field $u'(y)$ in the following problem. I am trying to derive the Hamiltonian of a 1-D lattice (spacing $=n_0^{-...
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2answers
70 views

How do we know that force is a vector?

With displacement, our axoims and 'laws' of vectors work because that is how we designed vectors to work, as it seems obvious that displacement would follow the 'triangle law of vector addition', but ...
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Why don't we use $F=−kx$ while finding a spring constant?

A block of mass $m$ is attached to a vertical spring in equilibrium, and is stretched a distance $d$. As Hook's law is $F=-kd$ If I take $y$-axis to be positive upward, the net force in the $y$ ...
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3answers
59 views

Why can the deformation of a spring at a given point of the spring be considered directly proportional to the relative distance of the point?

Hello i have been studying differential equations and in one example my professor tries to deduce the partial differential equation that describes the longitudinal displacement on a elastic, ...
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Distance and Displacement from a velocity vs. time graph

My teacher is saying that the distance covered will be equal to the area of the trapezium in the graph, but the displacement will be equal to the area of the triangle (with purple hypotenuse). I ...
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1answer
85 views

Integrating position/displacement with respect to time

We know that we get displacement if we integrate velocity with respect to time. But from my curiosity I am now wonder, what will I get if I integrate position/displacement with respect to time?
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732 views

Why is small work done always taken as $dW=F \cdot dx$ and not $dW=x \cdot dF$?

I was reading the first law of thermodynamics when it struck me. We haven't been taught differentiation but still, we find it in our chemistry books. Why is small work done always taken as $dW=F \cdot ...
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1answer
68 views

Does water get displaced by itself when being filled in a glass or does it “pile up” like a denser substance?

Disclaimer: I do not have a very strong background in physics so if this is too elementary I apologize The Question: When water is being poured into a glass, is the stationary water (i.e. that which ...
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163 views

what is $x$ in $f=kx$

hey I keep getting confused with this formula since different places get $\ x $ in different ways and I want to be sure im doing it the right way. so i have a spring with a constant $\ 1300$ N/m, ...
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1answer
176 views

Work, Energy, and Power- Hooke's Law & graphing

The purpose of the work, energy, and power lab is to demonstrate the validity of Hookes Law over a limited range of displacements, measure the spring constant of several springs, and determine the ...
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1answer
73 views

Displacement and mass of water in a column [duplicate]

I attempted to modify a classic experiment to demonstrate Archimedes principle to my 5th graders and I created an error I can’t explain. We started with a graduated cylinder containing 20 mL of ...
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1answer
26 views

Spatially and temporally variable velocity

I have the velocity function of an atom, $v(x,t)$, which changes with time and space. I'm looking for a general relationship for finding the location of the atom at time $t_s$. The atom start to ...
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3answers
70 views

Calculating acceleration from displacement measurements

I have a table of measurements s(t): t[s], s[m] 0, 0 12.48, 26.4 18.06, 52.8 22.32, 79.2 I have calculated all values for $a$ using $$ a=\frac{2s}{t^2} $$ and simply sticking the values into the ...
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1answer
645 views

Is displacement vector fundamental or derived quantity?

We know that we have 7 fundamental quantities (all scalars) and length is one of them. I classify velocity as a derived quantity. What about a displacement vector? How do I classify displacement ...
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1answer
32 views

Displacement over time graph sloping down has positive velocity

Why does this displacement over time graph sloping down have a positive velocity? Intuition would tell me that if it slopes up its positive velocity and if it slopes down its negative velocity. Am I ...
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3answers
633 views

two balls thrown upward at the same time

Ball A is thrown upward at the same time as ball B and with half the speed of ball B. a) Will ball A or B hit the ground faster? b) How much higher does B go than A? This is one of my homework ...
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214 views

Condition of acceleration when using $x=vt$

So my teacher told me that since $v = \delta x/ \delta t$, $\delta x = v • \delta t$ (naturally), and that is equal to the "area under the velocity-time graph", or displacement. This all makes sense ...
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2answers
63 views

Extraneous Negative and positive velocities

Consider the following question: A rock falls from a 500m high cliff and is accelerated downwards at $10~ \text{ms}^{-2}$. What is the velocity at which it hits the ground if we ignore air ...
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1answer
643 views

Does differentiating a distance with respect to time give velocity?

I'm just wondering if you have a distance function: $$ s(t) = 0.1t^2 - 5t $$ where $s(t)$ is distance and $t$ is time in seconds, does differentiating it give you a function for velocity?
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1answer
168 views

One dimensional motion

I was recently solving a question which is as follows: Displacement in a straight line motion varies as s=6+12t-2t^2. What distance will be covered in first five seconds? I, actually, got stuck in ...
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1answer
246 views

Which is positive work and which is negative work when an object is lifted upwards by force A when already the gravity is acting on it from below?

If I lift a book upwards,then by which force is the negative work done; is it done by the force effected by me or by the force of gravity which is pulling the book from the ground below??
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2answers
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If x is the position, how and why is one sure that a is displacement and b is acceleration in the given equation? x=a+bt²

I don't understand why a and b have to be displacement and acceleration respectively. Is that because of kinematics fist equation v-u+at?
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Is there any situation where one can measure force WITHOUT motion?

I am drafting a patent application where one part of the invention measures a force. I'd like to distinguish this from the prior art, which measures a displacement. But for all the force measurement ...
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3answers
95 views

How displacement due to acceleration formula works? [closed]

Assume an object begins from rest, accelerates 2m every second and ran for about 4 seconds. I see that as In 1st second covered: 2m In 2nd second covered: 4m In 3rd second covered: 6m In 4th ...
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Gaussian random walk of drifting electrons in $\Delta t \rightarrow 0$ limit

Consider the movement of electrons due to diffusion in a liquid as described by the solution of the diffusion equation $$\phi(\vec x, t) = \frac{1}{\sqrt{(4\pi t)^3 D_xD_yDz}}\exp\left(-\frac{x^2}{4 ...
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379 views

A basic question in kinematics [closed]

A particle moves along $x$-axis such that each position is given by $x(t)=2t^3-15t^2+36t+5$, $x$ is expressed in metres. Find the total distance within the time interval $t=0$ second to $t=4$ seconds. ...
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1answer
1k views

Displacement and position for a ball thrown up into the air

What would the displacement and distance traveled (from the starting point to the ending point) be for a ball that is thrown up into the air? (Hint: Think about the definition for displacement) I can'...