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Questions tagged [spring]

An object such as a metal coil or air-filled tube which provides a force opposing the direction of deformation.

105 questions with no upvoted or accepted answers
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115 views

Equilibrium points of three masses on a rigid spring ring with gravity

I'm trying to find the equilibrium points of a given system using Lagrangian mechanics (the system is still not rotating at the beginning). should I find the diagonal matrix for the characteristic ...
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223 views

Why is it that a coupled mass-spring system will always produce a diagonalizable matrix?

If you take a system like the one in the image, and you do the $y=x'$ trick to turn it into a first-order system of equations ($x_{1}$ or $x_{2}$ being the displacement of the mass $m_{1}$ or $m_{2}$ ...
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1answer
1k views

Damping coefficient and damping ratio

I am not sure if I understand the term damping coefficient correctly (I am a high-school student). Here's the link for the info that I learned: http://hyperphysics.phy-astr.gsu.edu/hbase/oscda.html ...
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3answers
81 views

Does a spring's $k$ affect the acceleration of a coupled mass?

Suppose I have a spring of spring constant $k$ attached to a mass $m$, with a constant force $F$ applied to the free end of the spring thus accelerating the mass. What happens to the acceleration of ...
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1answer
422 views

How resistance in coils affects the damping of oscillations of a magnet through them

I performed an experiment where I connected a magnet to the end of a spring with the north side on the bottom. The magnet at the tip of the coil was aligned to pass through a column of coils of about ...
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146 views

How to estimate the kinetic energy loss of a rigid cube after it colliding with a heavy spring at rest?

In an environment without gravity, there is an unfixed, motionless, uniform spring with non-negligible mass m, length L, and stiffness k suspending and a rigid cube with mass M moving with velocity v ...
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31 views

Springs Properties

I want to ask for a knowledge (preferably online) source about springs properties. I would like to know how Logarithmic decrement relates to type of material and spring shape (type) and how to ...
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429 views

Measuring Stiffness & Spring Damping Coefficient of Hard Rigid Material Objects

I have a set of objects made out of mostly stiff materials and what I want to do is to find out the stiffness and spring damping coefficients of those objects. I need to find out the values ...
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109 views

Spring constant and a spring's decompressed length

I wonder why the decompressed/free length of a spring doesn't change the spring constant $k$. I'll give the equation for $k$ here: $k = \frac{Gd^4}{8nD^3}$ For a fixed number of coils, if the free ...
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3answers
43 views

How would gravity affect a spring?

I'm currently in the process of writing a novel and I would like to add realism, I'm writing in a concept that involves springs stretching and tightening due to a constant fluctuating gravity. I'd ...
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17 views

Deformation of an elastic ball

Suppose a sponge ball is being compressed, due to applying a known force in a specific direction. The ball's shape will be distorted. Given that the deformation (displacement) is known in the ...
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2answers
41 views

A question about an assumption on a Very Basic Hooke's Law problem

A question states: A uniform beam AOB, O being the mid point of AB, mass $M$, rests on three identical vertical springs with stiffness constants $k_1$, $k_2$ and $k_3$ at A, O and B respectively. ...
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1answer
73 views

Help understanding a spring-mass system where mass is not attached

This is the scenario: We have a spring resting on a surface with no mass on it. Let the $y$ position of the top of the spring be $l_0$. When we put an object with some mass on top of the spring, the ...
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26 views

How to find the path of a cantilever beam's tip when it's bent?

I'm trying to analyze the harmonic motion of a hacksaw blade with one end fixed to the table. I'm trying to get an equation from Hooke's Law F = kx, but I'm not sure about how to calculate the ...
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5answers
119 views

Derivation of the work-energy theorem

We state the following version of work-energy theorem : $$ K_2-K_1=Fd=W $$ Where acceleration is assumed to be constant, so is the force $F$. Then the physicists proceed by writing $K_2-K_1=F[x(t_2)...
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1answer
109 views

Finding the Amplitude of a Spring Oscillation given initial Position and Velocity

I'm trying to create a physics simulation, and I need to be able to determine the amplitude of the oscillation of a mass-and-spring system given any position that the mass might be in and the velocity ...
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1answer
341 views

Spring combination in series and parallel

I know the equivalent formula for spring constant for springs connected in parallel and series. But how do I identify whether those are in series or parallel?
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57 views

Collision response with spring physics in RK4

I'm trying to figure out what's in the title. I've gotten regular spring physics working and now I'm trying to do something similar with actual collisions (player character colliding with the ground ...
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0answers
65 views

How can I calculate a spring's constant, using its characteristics?

I want to construct a device for a school project, so I need some springs of specific constants $k$. I found some companies that can construct the springs, but they need their dimensions. I want to ...
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0answers
55 views

Potential energy of and forces within a massive spring

So, I've been doing problems related to calculating the time period of SHM for a spring mass system where the mass is M, and the spring has a finite mass m. The standard method of dealing with this ...
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2answers
182 views

Is the equation of motion for a spring-damper system the same whether oriented upward or downward?

So every spring-damper system I've found online has the equation of motion: $$mx''+cx'+kx=0$$ I can understand how this is derived when downwards is positive, but what about when upwards is ...
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103 views

Physics of harmfull bungee jumping and hanging

According to the Wikipedia section on long drop hanging, the risk of decapitation increases with length of the rope. By analogy I expect that a long enough bungee rope can tear jumper's leg off. I ...
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1answer
146 views

Spring constant, but intrinsic to material, not rest length

If you have two metal springs that are coiled in the same way, but one is twice the length of the other, the spring constant will be half as large for the longer one. That makes sense of course. What'...
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45 views

Potential energy stored by an elastic circular loop on deformation to an ellipse

This question is related to an origami circular loop that I built. This structure is elastic and I intend to find the elastic potential energy stored by it when I deform it to an ellipse. My actual ...
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62 views

Find spring stiffness of a frame structure

I would like to calculate the spring constant of a frame structure. I thought that I could do it like this: I apply a point force on the structure: Then I calculate the displacement at that same ...
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255 views

Deduce transfer function in a mechanical network

I am familiar with a 2 degree-of-freedom (2DOF) system like it is depicted here: Assume all parameters are unknown. Now, how do I find the values of the parameters in case of A) a spring and ...
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1answer
201 views

Oscillation of mass $m$ on a spring when another mass $m$ is added to it at equilibrium

I have a spring of length $L$ when unstretched with one end fixed to the roof. At the lower end I place a mass $m$ and drop gently so it stretches by $x_1$ at equilibrium so that $mg=kx_1$. Now I ...
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1answer
256 views

Determination of spring constant $k$ for an elastomer

Primary Question: How can you determine the spring constant $k$ of an elastic material? I was recently tasked with finding the spring constant for a series of elastomeric materials, the first of ...
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2answers
1k views

Hanging mass from spring/ Setting potential to 0

I'm working a problem from Taylor's Classical Mechanics Book, and it's highlighted a couple issues I never quite wrapped my head around (despite getting good marks in advanced undergrad mechanics and ...
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1answer
171 views

Finding the spring compression length for an object to reach $U = 0$

I have a question on the following, pertaining to only parts c and d (b was shown to provide the mass of the asteroid and radius): - I'm going to define the mass of the asteroid here as $M_A$ and ...
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0answers
400 views

Differential equation for an accelerometer

I am having troubles deriving the 2nd order differential equation for the system below, where $r=y-s$. According to my lecture notes the differential equation is $$ M\frac{d^2r}{dt^2}+b\frac{dr}{dt}+...
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2answers
69 views

Why can I assume the force to be constant in this particular interval?

If I have force, or any function $f(z)$, I was told that I can assume it to be constant only in the interval $dz$. However, in this case, I had to calculate the work done by the spring force as a ...
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1answer
60 views

Predicting the behaviour of a spring-mass system under the influence of regular periodic impulses

Here is the question: I have a mass 'm' connected by a spring to a wall. The setup is horizontal. The time period of the mass is 'T0' determined by the spring constant 'k'. The mass obeys a position ...
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219 views

Simplifying three mass, two springs system

I have a system of three equal masses connected by two equal string system. x_1 x_2 x_3 *--------*---------* ------> x M k M k M ...
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39 views

The force of a spring

I am new in continuum mechanics and I want to prove the formula which gives the force given by a spring : $$F_{max}= \frac{Ed^4(L-nd)}{16(1+\nu)(D-d)^3 n}$$ where : $E$ – Young's modulus $d$ – ...
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941 views

Torsion Spring Moment Calculation

I'm trying to extend the idea of a translational spring to a rotational spring. Consider a spring that acts on all displacements of a body: $$ \mathbf{F} = \begin{bmatrix} F_x \\ F_y \\ F_z \end{...
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2answers
94 views

Assume two springs with constant $c_1$ and $c_2$ are based in the following scenarios. Figure out the masses for equal displacement

Assume two springs with constant $c_1$ and $c_2$ are based in the following scenarios. Figure out the masses for equal displacement. More specifically I am to figure out what masses $m_1$, $m_2$ will ...
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1answer
71 views

What can take kinetic energy, transform it into potential energy when pressed on, and put back out as kinetic energy when released (besides a spring)?

A spring can only hold so much of the kinetic energy. For example, a 1 cm spring can hold less than 5 J. Is there anything that can hold a large amount of energy but be fairly small?
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718 views

State space equation for spring pendulum

Let's say we have a spring pendulum, where the spring itself is massless, and there is no damping at the hinge. That is, the only things we are concerned about are the forces applied by the spring and ...
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0answers
83 views

Trying to model the acceleration of a system due to an impulse forcing function

My team and I are working on a design project to design/modify a device that can go on hikes for paraplegic/quadriplegic people. Here is the current design (not designed by us): We are thinking of ...
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622 views

How much of elastic energy is stored as entropy?

There are two cases of elastic stretching: springs and rubber. When you streach a spring or a piece of rubber both absorb some energy as Entropy (S) and some as plain energy (U) $$\displaystyle{ ...
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329 views

Is strictly harmonic 2D lattice made of Hooke springs possible?

If we connect a set of point masses in a 1D lattice with Hooke springs and consider longitudinal oscillations, we'll have a strictly harmonic system, for which there exist eigenmodes and the frequency ...
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188 views

Hooke's Law and the shape of coils

I've learned in school that the force in a coil is $F=kx$, linear on how much the coil is stretched. Two questions: Is it always linear for every shape of a coil? Does it remain linear if we increase ...
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6 views

Is there a relationship between the damping coefficient of a spring and its K value?

I thought the decay of a pring had nothing to do with its spring constant, but I just did a lab and I got a correlation of R2 = 0.997. Is it just a coincidence? or is there really a connection between ...
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13 views

Exploring the damping of a vertical spring-mass system

I am planning to write a small paper about the damping of a vertical spring-mass system. I want to explore a few interesting factors affecting the damping. Right now, I thought about making the mass ...
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43 views

Elastic Pendulum on accelerated base (Hamiltonian Approach)

Lets consider an elastic pendulum with $k$ spring constant and $\ell$ its natural length. The base of the pendulum is moving with constant acceleration $a$. a) Get the hamiltonian of the system and ...
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25 views

Partition function of 2 particles connected by a spring

Consider a system composed of two, point-like particles connected by a linear spring, enclosed in a box. For simplicity, consider the system to be one dimensional. The energy of such a system is $E(...
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16 views

Whether this calculation is applicable to impact application..?

I have some confusion with this calculation for my design. I need to do the endurance testing for the pin which has to be loaded on flat face with the spring impact force, In this case how can I ...
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1answer
32 views

Very Basic Q on Hooke's Law Problem Pt.2

"A uniform beam AOB, O being the mid point of AB, mass M, rests on three identical vertical springs with stiffness constants k1, k2 and k3 at A, O and B respectively. The bases of the springs are ...
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1answer
104 views

Need guidance in manipulating the formula for frequency

I am confused as to how to go about the following question. The question explains that f refers to the frequency of an oscillation, $m$ refers to the mass of an object attached to a spring, $k$ ...