# Questions tagged [displacement]

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1answer
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### Why does a force displace matter?

Why does a force displace matter? Is the fact that a force displaces matter purely empirically or do we have a better explanation?
7answers
433 views

2answers
38 views

### What's the relation between acceleration, position and angular velocity?

I just encountered a problem involving lift and oscillations where I found the following differential equation: $$\ddot y = -\frac{ \rho gA}{m}y = -\omega^2 y$$ What's the relation between $\ddot y$, ...
4answers
183 views

### Different expressions for distance & displacement : $\int$$d$$|\vec r|$, $\int$$|$$d$$\vec r|, and |$$\int$$d$$\vec r|$

I came across these expressions in my book. And the book says that all these are different from each other. The expressions are : $\int$$d$$|\vec r|$, $\int$$|$$d$$\vec r|, and |$$\int$$d$$\vec r|$ ...
1answer
35 views

### Representing a wave

I don't know how relevant is asking this but We know that we represent waves by displacement, velocity etc.What about area vectors? I mean what about representing a wave by area vectors or even volume?...
0answers
19 views

### Frequency modes of the rectangular shell

The shapes of three natural modes having the frequencies $w_1$, $w_2$, $w_3$ of the rectangular shell are presented in the figure. The exciting pressure $p(t)$ applied uniformly all over the one side ...
2answers
76 views

### Why is work defined with respect to distance rather than time? [duplicate]

The common way of finding the work done on some object is by applying the equation: force*displacement. However, suppose we apply a force of F newtons on an object of mass M for a duration of T ...
1answer
174 views

### How to know what the area under curve represents?

Is there a way to find out what the area under the curve represents? For eg. If i gave you a graph of $v$ with respect to $t$ would you be able to tell me what the area under the curve represents ...
3answers
156 views

### Hooke's Law: Is the extension of a spring the same as its displacement?

This question might make no sense, but I'd like to ask it anyway. The elastic potential energy of a spring is the area under the force-extension/compression graph. The work done on a spring is ...
2answers
46 views

### How to study the work done by a varying force on a system moving in two dimensions?

My book states that: $$W=\int_{x_i}^{x_f}{F_x dx}$$ We can calculate the area under the curve representing force as a function of position when the displacement and the force are in one direction ...
2answers
165 views

### Does Euler number $e$ have a role in kinematics?

Euler number $e$ is often explained with the example of compound continuous interest. I was wondering if it could also be illustrated with an example about the displacement of a body (although not an ...
2answers
87 views

1answer
169 views

### 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 ...
1answer
206 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 ...
1answer
84 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 ...
2answers
79 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 ...
2answers
88 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 ...
2answers
31 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?
2answers
70 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 ...
2answers
62 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 ...
0answers
51 views

3answers
1k views

### 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 ...
1answer
2k 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 ...
2answers
497 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 ...
1answer
300 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 ...
1answer
434 views

3answers
84 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 ...
0answers
32 views

### 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^{-...