Questions tagged [spring]

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

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Spring-cylinder oscillator system net force equation

I was thinking about a spring-cylinder system and calculating the angular frequency $\omega$ for it rolling back and forth. Here's a picture: The easier way would be to write out the energy for the ...
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Questions about Equation of Motion [closed]

I would like anyone to verify if what i've done is correct or am I doing something wrong.
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Where is the fault in the mechanical energy conservation in a spring block system here?

Consider a spring block system . The surface on which the block moves is frictionless and the air resistance is nil . Suppose the block is at the mean position in it's natural length . By hookes law , ...
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Different Spring constant when calculating different ways? [duplicate]

I'm stumped on this one, so any clarification is appreciated. The problem statement gives the following: A mass weighing $10 N$ is placed on a vertical spring and causes the spring to compress 1 ...
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Mass-Spring-Damper System Confusion

I am a ME student trying to understand this system pictured below. I have a mass sliding on a surface with a coefficient of friction [u], attached by inextensible massless rope to a tension spring of ...
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Does a series of springs behave like one equivalent spring while oscillating?

A series of $n$ springs, where the $i$-th spring has spring constant $k_i$, is said to be equivalent to one single spring with spring constant $K$ if $1/K = \sum_{i=1}^n 1/k_i$. But what does ...
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Hooke force and first Newton principle, how apply it

I have a question that maybe for this site is quite trivial, so sorry at first! If I have a spring and a force F determines an elongation of it: the difference between the length after the application ...
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Does the spring constant change if a spring is cut? [duplicate]

I wanted to cut springs to lower my car. I would like to know if the spring constant is affected.
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Energy conservation and slowly letting a spring go back to equilibrium

Suppose I have a spring with one end attached to a wall and the other end attached to a piece of rope. Now imagine I pull on the rope and pull the spring outward. My hand expends energy and the spring ...
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When an electron hits a fluorescent screen mounted on a spring, why can't we get both position and momentum?

From the Heisenberg's Uncertainty Principle for position and momentum we know that, $x$ and $p$ of a particle cannot be measured simultaneously with arbitrary accuracy. $$\Delta x \Delta p \geq \hbar/...
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How should I apply Hooke's law to spiral helical springs?

Say you have a spiral helical spring, like one you might find in a wind-up toy or a hairspring in a watch. The center is attached to a rod that can be twisted to wind it, and the outer end of the ...
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Equation of motion for a compressed spring

I've solved the equation of motion for a spring-mass system, many times, and found that the resultant motion is simple harmonic, as expected. However, in all the derivations, I've considered extending ...
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Calibration of a Pfizer type hardness tester

I am working on testing of hardness of pellets for their hardness and crushing strength. Currently I have a Pfizer type harness tester at my disposal. It came with a default spring, which we found was ...
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Thought experiment and possible contradiction between kinematics and dynamics in special relativity

The peer-reviewed International Journal of Mathematics and Mathematical Sciences has published an article of mine showing a possible inconsistency between kinematics and dynamics in special relativity ...
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Force acting on spring

From newton's 2nd law,we know net force=$ma$. Now since in ideal cases,springs are massless,force on spring should be $ma=0\times a=0$. But still forces like restoring force,weight of a body hanging ...
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Time period of a spring in case of constant force

The block is being pulled by a constant force $F$. Now,to find the time period of the spring, the following method is used. First the equilibrium/mean position is determined and then the block is ...
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Would more windings or bigger diameter makes a spring stronger? [closed]

Imagine I have 2 springs of the same length and material, thickness of wire is the same too. Spring A has twice as much windings and spring B has bigger windings about double the diameter of A. I am ...
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Use Hamilton's principle to show expression for $L$ [closed]

I have following diagram I have here to find the kinetic energy and the potential energy. I think that kinetic energy is: $$T=\frac{1}{2} M(\dot{x_1}^2+\dot{x_2}^2)$$ and the potenitial energy must ...
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Lagrangian for spring mass pulley systems

Recently I came across a question relating to a spring mass system with pulleys. So I decided to try and write its Lagrangian. However I have run into a problem. The expression for a spring's ...
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1answer
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Dispersion relation for a lattice: Why the optics branch disappear?

I have a linear chain of two atoms type connected by springs and a lattice's constant $a$. Let said that mass is $m_1=m_2=m$ and the spring's constant $C_1$ and $C_2$. I have found the dispersion ...
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63 views

Velocity over time of a mass on the spring

Imagine a spring with constant $ \mathrm{k = 2 \ N/m}$. A mass of $2 \ \mathrm{kg}$ is dropped on it. (Initial velocity $= 0$) Letting $\mathrm{g = 10 \ m/s²}$ , we can calculate the max velocity of ...
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2answers
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Two-body system with spring and acceleration of center of mass confusion

So we have a following system, which is undergoing a simple harmonic motion: Lets say our $m_1$ mass compresses spring on rightward side, and $m_2$ thus, strecthes spring on rightward side, so, you ...
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1answer
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Why is work done in a spring positive?

We know that a stretched spring obeys Hooke's law, such that $F=-kx$. We can find the potential energy of stretching/compressing this spring by $x$, given by : $$U_x-U_0=-\int_0^x F.dx = \frac{1}{2}kx^...
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Spring between two masses: $ΔX$ is halved?

Let's say I have a spring with length of $80$m. The spring is connected horizontally between two masses (on a table, without friction). Lets say the string got narrower to $76$m. Does it mean that $\...
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When to use reduced mass?

I have conceptual doubts on when to use the reduced mass. This is the situation. I have a spring with two charges of mass $m$, each attached to one end of a spring so that $$ \mu a = -kx $$ from which ...
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How to find a function which describes the system's potential energy?

I was wondering how to determine the potential energy of a certain system. Let's say I have three bars and three springs connected in a certain way, so that when the gravitational potential energy $...
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Understanding the relationship between the spring constant and the angular frequency

Suppose, I have a spring whose spring constant is $k_s$, angular frequency is $\omega_s$, and the mass of the object attached at the end of the spring is $m_s$. So, will this be the relationship ...
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37 views

Does the spring constant of a spring depend on the mass of the object attached?

Previously, I knew that the spring constant of a spring doesn't depend on the mass of the spring nor the mass of the object attached at the end of the spring. However, after doing this numerical today,...
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The another answer for a question [closed]

The standard answer for this question is $\frac{2mgh}{(h-L)^2}$ and this is derived from conservation of energy. However, is there another answer to this problem? Since Kate just touches the surface ...
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1answer
51 views

What is the reaction force to the spring force?

Suppose we have a spring suspended downwards and a mass of block M that is pulling that spring downwards. We have the W force (that is m x g) acting upon that mass of block M and we have the spring ...
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Hooke's Law and Period of Oscillation when the spring has non negligible mass [closed]

If a block of mass $M$ is attached to a spring of mass $m$ and its force constant is $k$, if the system oscillates horizontally on a frictionless ground. We could derive the period of the oscillation ...
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Anharmonic terms of Lagrangian of spring pendulum with free support

I am trying to find the normal modes of a spring pendulum with moving support. The spring has spring constant $k$ and unstretched length $l_0$. Sorry for my bad paint skills. The problem was stated ...
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Spring-damper in series

I have a spring-damper system like so: When $x_1$ is the length of the spring and $x_2$ is the length of the damper. The forces are given by: $$ \\ x=x_1+x_2\\F_d=-\sigma\ \frac{dx}{dt}\ , F_k=-k(x_1-...
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Finding the minimum delta stretching for a spring to creating enough force to fly the object below it?

I directly dive into the question My teacher ask me to do this question, I could not understand some parts. If you can explain me rather than solving it, I appreciate. At the question it says that ...
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What is the Equation of Motion for a Harmonic Motion Damped by Constant Friction?

In normal physics class, we usually learn about damped harmonic motion where the damping force is directly proportional to the velocity. $${\bf F} = -b {\bf v}$$ This would give us the equation $$-b{\...
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Is there any energy loss if two blocks collide with a spring in between?

If two blocks collide with a spring in between, at the moment when the spring reaches max compression is any energy lost? One can look at it as an inelastic collision since the two blocks would be ...
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Simple Harmonic Motion vs other analogous problems

I've reading about Simple harmonic motion, and it is said that SHM occurs only when there is force $F \propto -kx$. This is true for spring-mass systems. However, in systems like the Pendulum, we have ...
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Two cars tied with a spring [closed]

A spring of spring constant $k$ is tied with two cars of masses $m_1$ and $m_2$ with a rope. As a result, the spring is compressed by $x$ meters. Initially, assume that they are at rest. Suddenly, the ...
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Does spring exert not force while in slack condition?

Consider a block of mass $m$ hunged by a spring of spring constant $k$. Let it be in equilibrium position where $mg=kx$. Now it is given a sudden impulse in upward direction so that it starts moving ...
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How do you find the average velocity of a damping spring mass system?

I did some research and found out that it can be assumed that: $\mathrm{Average \ Velocity} = 0.5 \ × \ V_{max} = 0.5 × \mathrm{angular \ frequency} \times\mathrm{maximum \ displacement}$ But which ...
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Maximum extension in spring

Suppose a mass $m$ is attached to a spring. Now if the mass is released, the tension will be the restoring force of the spring and since the mass is neither going up nor going down, we have $kx=mg$ or ...
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Is there a way to increase the amount of time a compressed spring takes to depress/go back to a relaxed state?

How would a person slow down the time it takes a compression spring to enter a relaxed state from a compressed state?
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Can Acceleration of The lower block Be ever greater than Upper block?

Consider A situation Block A is kept on Block B,and The coefficient of friction between them is $\mu$, the ground on which B is kept is frictionless. Block A is attached to a spring with a spring ...
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1answer
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A 1D Two body problem with a constant external force [closed]

How would I go about solving a 1D two body problem as follows: Consider two blocks A (mass $m_1$) and B (mass $m_2$) placed on a horizontal smooth surface with a spring of constant $k$ between them. ...
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Vertical ideal spring, streched by weight, different results working with forces and energy [duplicate]

Imagine we have a vertical spring with constant $k$ and load on it (like a weighing machine) a mass $m$. Initially, the energy of the system is $0$, since the spring it's on it's original position and ...
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Why does restoring force of a spring increase as the displacement of one terminal increases?

According to the perspective of a high school student,this question has been asked so pardon me for any lack of intuition or knowledge about this topic. As far as I know as per Coulomb's law or Newton'...
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A question on vertical spring mass systems

For a given mass attached to a vertical spring (near the surface of the earth), how do we know that the equilibrium point is halfway between its oscillation? (Let the height at the bottom of ...
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Equilibrium between spring and centrifugal force

I was doing a problem regarding balancing springs in rotation about an axis with a respective centrifugal force. Axis of rotation goes through a human. Springs starts 1 meter away from the axis of ...
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Finding work done on a spring using Hooke's law (force = constant * distance) and Work equation (work = force * distance) [closed]

From the lesson, they have said that $k$ is constant. Which I'm assuming springs tension is constant? I've tried (1): equating work to force * change in distance $(4 = f(x) * \Delta x$), finding $f(x) ...
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What will be the reading of spring balance in the following situation?

Many of us have seen this question many times ( a classic question of almost every intermediate level mechanics course ) where two blocks of the same mass are join two spring balance as follows : ...

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