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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.

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Lateral (bending) stiffness of a helical compression spring

Does a helical compression spring have uniform lateral (bending) stiffness throughout its length? Suppose I exert a force radially along a certain height of the spring, and that force rotates along ...
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2answers
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Spring force potential energy and work done

Is the work done by external constant force = to potential energy stored in the spring. i.e. $Fx=\tfrac{1}{2}Kx^2$ But we know $F=kx$ but then $Fx = Kx^2$
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Why do the units in the period of a mass-spring SHM not work out? [closed]

I am a high school physics teacher having students use the period of a mass-spring system with a known mass to determine the spring constant. We are practicing linearizing functions, so rather than ...
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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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2answers
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The relation between the spring constant and its radius [duplicate]

I've observed that the spring constant of a spring with a smaller radius is higher than that of a spring with a larger even though they are made of the same material , their thickness and all other ...
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An energy/model based controller to minimize overshoot and response time of a mass spring system

Consider a very simple system: $$m a + k x = F \, , \tag{1}$$ where $m$ is mass, $a = \ddot{x}$ is acceleration, $k$ is the spring's elasticity, $x$ is position of the mass and $F$ is the force from ...
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Two dimensions springs [duplicate]

Hello I am wondering how I can find the force of a spring in 2d with and angle of θ from the vertical axis how could I solve such problems?
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Why can all solutions to the simple harmonic motion equation be written in terms of sines and cosines?

The defining property of SHM (simple harmonic motion) is that the force experienced at any value of displacement from the mean position is directly proportional to it and is directed towards the mean ...
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Vibrational Question [closed]

A friend recently asked me this question, which I am not even sure how to comprehend... Three masses are arranged at the vertices of an equilateral triangle and are connected by springs along the ...
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0answers
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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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1answer
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Motivating classical wave equation PDE

I'm teaching a geometry course covering spectral problems, using eigenvalues of the Laplace operator for shape analysis ("Can you hear the shape of a drum?"). I thought I'd cover where the wave ...
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1answer
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To consider or not to consider potential energy of a mass attached to a spring in oscillation? [closed]

For the above system I have the following expressions for kinetic and potential energy: $$ V = \frac{1}{2}\,k\,x^{2}+m\,g\,l\,(1-cos\,\theta)-m\,g\,x\\ T = \frac{1}{2}\,m\,\dot{x}^{2}+\frac{1}{2}\,m\,...
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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 $\ddot y$, ...
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3answers
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Hooke's full unapproximated law

It is known that the Hooke's law relating the restoring force of a spring to the distance of retraction from the equilibrium position, is only an approximation. That is, the equation $F=-kx$ is only ...
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2answers
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Several spring coupled: can such a movement happen or is it only theoretical?

We have 6 particles. We couple them 2 by 2 with a spring of strength $K$ (as in the picture below). We then have 3 harmonic oscillators. Then we couple each oscillator by a spring of strength $S\ll K$ ...
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1answer
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Two different values for two different methods of calculating spring constant [closed]

I'm given the question: "An oscillator consists of a block of mass .5 kg connected to a spring. When set into oscillation with amplitude .35 m, the oscillator repeats its motion every .5 seconds. Find ...
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5answers
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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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Are the so called force balance drawings for motion systems “counterintuitive”?

Lets take the standard mass-spring-damper system with an external force. Please also see the image. As we all know making mistakes with signs in these questions is a common error. There is even an ...
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1answer
37 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
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Oscillations and Spring balances problem

Problem Statement: A spring balance has a scale that reads from 0 to 50 kg. The length of the scale is 20 cm. A body suspended from this balance, when displaced and released oscillates with a ...
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2answers
106 views

Harmonic motion with friction [closed]

Consider an undamped mass and spring system with friction. The friction is not proportional to the velocity of the mass. If we solve the corresponding differential equation,the spring will oscillate ...
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2answers
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Will the motion in both systems be same?

In my book, the discussion in SHM is mainly about a mass hanging vertically from a spring. But there are some exercises which contain questions which involves a mass attached to a spring and the whole ...
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Mass hanging from spring in free fall

Q: A mass $m$ hangs from a massless spring connected to the roof of a box of mass $M$. When the box is held stationary, the mass-spring system oscillates vertically with angular frequency $\omega$. If ...
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1answer
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Explanation of a spring using “Artistotle's law of motion”, $\vec{F}=m\vec{v}$

So I was watching Susskind's Classical Mechanics lectures and I didn't understand something in the second lecture. He was telling about Aristotle's Law of motion which is $$\vec F = m\vec v.$$ He ...
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Why isn't the work done on the spring encapsulating this idea?

We know that work done ON the spring is given by the integral $$\int kx \, dx =\frac12kx^2$$ if we start from $x=0$ .But what if I apply more force on the spring.Wouldn't I be doing more work on it? ...
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1answer
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Simple harmonic question [closed]

consider a spring with a block of mass $m$ and spring constant $k$ that is inside a lift. the cable breaks and the lift falls freely. Show that the block now executes a simple harmonic motion of ...
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93 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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1answer
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Tension in Spring

When spring is within elastic limit the tension in Spring is equal in magnitude to force applied for deforming it but when it has reached its elastic limit and more force is applied so that it's ...
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2answers
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Effects of the Spring Constant on Angular Frequency in Simple Harmonic Motion

The formula for the angular frequency of a spring-block system in SHM is: Why does a larger "k" value lead to a larger angular frequency (and a lower period)? Wouldn't a large k value lead to a ...
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SHM time period with spring mass [duplicate]

Prove that time period of SHM for spring block system for small displacement is $T=2\pi\sqrt{m_{eq}/k}$ where $$m_{eq}=m_{block}+m_{spring}/3.$$ I am able to prove for massless spring (by both ...
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3answers
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Confused about behaviour of spring mass system

I am writing some code that will plot the behaviour of a system consisting of 4 springs and 3 masses. They are arranged in the configuration (s:spring, m:mass) ...
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1answer
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Natural and Driving Frequency of a Spring-Mass System

Does $$f = \frac{1}{2\pi}\sqrt{\frac{k}{m}}$$ measure the natural frequency or driving frequency of a spring-mass system? I can't find any resources which confirm this! I believe it measures the ...
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What are the possible limits for when SHM is not applicable for a vertical mass-spring system?

I am not sure if this is more of a maths problem than a physics if so could admin place in the math stack. So my question is as follows. I have recently been looking at SHM in a spring-mass, as shown ...
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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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3answers
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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 ...
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1answer
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Why is this he correct? [closed]

Here is the question: "A spring stretches 0.4m when a 2kg mass is hung from it. The spring is stretched an additional 0.2m from its equilibrium point and is released. Determine: The Max ...
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3answers
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Restoring Force vs Applied Force for Hooke's Law

According to Hooke's Law, $F=-kx$ where $F$ is the restoring force, $k$ is the spring constant and $x$ is the length of extension/compression. When an applied force compresses a spring, a restoring ...
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1answer
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What causes the wave velocity of longitudinal waves in a spring to changes as its length changes?

This video shows the velocity of longitudinal waves changing in a slinky spring as its length changes: https://youtu.be/y7qS6SyyrFU?t=17 Something else responsible for the change in velocity ...
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2answers
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How can a stiffness of a spring can be $k(x+x^3)$? Compute energy total of the system [closed]

Consider the motion of a particle of mass $m$ attached to a spring of stiffness $k(x+x^3)$ where $x$ is the displacement. 1) How can look such a spring? I thought that the stiffness of a spring ...
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5answers
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Conservation of Mechanical Energy in moving frame

A ball of mass $m$ is attached to a spring that is attached to a heavy moving cart (mass of cart $M >>$ mass of ball $m$) moving at velocity $V0$. The compressed spring with known spring ...
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0answers
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What is the definition of pitch of a helix (spring) in terms of slope?

This question is linked to another question that I asked in Math section. I think this specific part is more relevant to physics. I have designed a 3D helix structure. The radius is constant but the ...
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3answers
44 views

Why do two things lose contact only when normal = 0?

Why do two things lose contact only when normal = 0? For example, I was doing a question in which a massless plank was attached to a spring. The plank also had a block of mass m kept on it. The whole ...
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1answer
37 views

Potential energy of the oscillator

Is there a difference between the potential energy of an oscillator and the potential energy of the spring which is associated with? When we compress a spring horizontally without any object ...
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1answer
45 views

Capacitor with a spring [closed]

The plates of capacitor are attached with non conducting spring of spring constant k. The initial separation between the plates is d and the spring is relaxed initially. Now the charges +Q and -Q is ...
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3answers
54 views

How does a gas spring work?

I read Wikipedia and do not understand the following. If you create pressure on the gas (or any spring) it gives pressure against. Why is the gas spring holding mass when pulled out, and while ...
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0answers
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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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1answer
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Harmonic oscillators in fluids and driven oscllations

If given a normal spring/mass system and letting the mass oscillate in a fluid say water, would it be possible for the motion of the fluid, if the fluid is moving to create a driven oscillation and ...
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1answer
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Equation of coupled springs : where does this potential come from?

In this document, we try to derive the equation of two coupled springs as in this picture. At the bottom of the page 2, they say : it would be more efficient to introduce the potential energy ...
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2answers
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What will happen if I just stretch a spring and release it?

What will happen if I stretch a spring and release it. There is no mass in the spring and there is no mass attatched to the spring. Will it stop when it aquires its natural length or will it continue ...
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0answers
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Force analysis of falling spring [duplicate]

As picture below, I want to explain why the bottom of spring will be motionless a little while after release. But in my view, the bottom of spring will be falling in a low speed after release, since ...