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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Question based on conductors [closed]

A conducting sphere of radius R is cut into two equal halves which are held pressed together by a stiff spring inside the sphere. Find the change in tension in the spring corresponding to the maximum ...
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Two Block and spring system falling from a height [closed]

A spring with two blocks of equal mass attached at both sides is made to fall freely under gravity. What is the final length of the spring when the system hits the ground vertically? If we take into ...
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Maximum force on a spring [closed]

Work $W$ is done to extend a spring beyond its natural length by a small distance $x$. Assuming a spring constant of $1$, what is the magnitude of the maximum force done by the person stretching the ...
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Two blocks attached at either side of spring [closed]

A spring with two blocks of equal mass attached at both sides is made to fall freely under gravity. What is the final length of spring when system hits the ground vertically?
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Mechanical energy conservation for different chosen systems

I studied work-energy theorem and the equation for mechanical energy conservation yesterday. I’m not able to understand how to identify forces when choosing a system (which force is which). This is ...
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Collision between 2 springs [closed]

Four material points, all of mass m, are aligned along a straight line and connected two by two by two equal springs, of elastic constant k and rest length $l_\epsilon$. The points are subject only to ...
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Potential energy of a spring vs potential energy of the spring-mass system

What is the difference between potential energy of a spring and potential energy of the spring-mass system? The reason I am asking this question is, is elastic potential energy a property of the ...
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Driven harmonic oscillator: driving constant force is only temporary

Example: Let $m$ be a point mass that hangs at the equilibrium point $y_0$ on a spring fixed at the end. No damping force acts on the particle. Let $k$ be the spring constant. If I want to calculate ...
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Bungee jumping: why does using the law of conservation of energy give me a different $k$ than solving for $k$ when the net force is 0? [closed]

I tried solving the following problem: "A 62.0kg bungee jumper jumps from a bridge. She is tied to a bungee cord whose unstretched length is 12.0m and falls a total of 31m. Calculate the spring ...
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Force exerted by ideal spring in our hand

Suppose we have an ideal spring. We push the spring with our hand in the $x$ direction (so we don't need to take account gravity) exerting a force $-F_{h}$. From Newton's third law the spring exert to ...
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Work done by action-reaction pair of tension

Work done by action-reaction pair of tension force on a system is zero if the string is inextensible I am trying to understand this statement taking the following arrangement in consideration. Here, ...
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Can the axial stiffness of a block or thick plate be idealized as an axial spring?

This is somewhat of a follow on question related to my previous post (not sure if creating a new post was the correct way to do this, I'm new). Anyway, I'm dropping a heavy mass onto a "pad", or ...
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How many $g$'s does a mass see as it impacts and compresses a spring?

Essentially, I'm designing a drop test, and to simplify my problem I've modeled the system as a known mass $m$ being dropped from a set height $h$ onto a spring (set $k$), compressing it ($x$). How ...
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Inconsistencies in Vertical Spring [duplicate]

If I attempt to find the displacement $x$, from equilibrium when a mass, $M$ is attached to an upside down vertical spring with spring constant $k$ I get two different answers when I use energy ...
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What happens at the molecular level when a spring is being extended? [duplicate]

To my knowledge, at the point when a spring is being extended until the bottom of it is stationary, the electrostatic forces of attraction between the molecules in the spring balance out with the ...
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Work done by a spring on a block

A spring has a block attached to one end and the other end is attached to a wall. As the ball is displaced right or left, we know spring force $F_{sp}$ $=$ $-kx$, always in the direction opposite to ...
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Work done by elastic force

I have a doubt about the work done by elastic force. The general formula of the work is: $W_{Fe} = \frac{1}{2}k(x_0^2-x^2)$; if we take that the state in which the spring is at rest, we have: $W_{Fe} ...
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Spring whose spring constant is a piecewise function of displacement—is this possible?

A bungee cord is essentially a very long rubber band that can stretch up to four times its unstretched length. However, its spring constant varies over its stretch [see Menz, P.G. “The Physics of ...
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1answer
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momentum transfer after string snaps [closed]

Imagine two masses, $M$, are connected by a string (which itself has mass $m \ll M$) and are stationary but free to move without friction (on an iced-over lake or in space, take your pick). The ...
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How does cutting a spring increase spring constant?

I know that on cutting a spring into n equal pieces, spring constant becomes n times. But I have no idea why this happens. Please clarify the reasons
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Is the potential energy stored in a spring proportional to the displacement or the square of it?

Suppose a mass of $M$ kg is hanging from a spring in earth. The mass will stretch the spring about $x$ m. So the change in the gravitational potential energy is $mgx$ J (supposing $x$ to be very small ...
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Are spring forces really non-impulsive? Why or why not?

I've heard that spring forces are generally non-impulsive as they don't really contribute to a change in momentum(of any body attached to it). How can we actually say that spring forces are non-...
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Counterbalance mechanism using concentric pulleys

In this YouTube video, at 2:29 (https://youtu.be/YNI-U5IiLeI?t=149), a linear counterbalance mechanism is shown (I asked about this a couple of weeks ago). I now understand more of how it works, and I'...
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How does a box have a net force of zero when it is on the ground and has an oscillating spring in it?

I was working through David Morin's workbook and I came across this question. Imagine that we have a box with a massless, oscillating spring attached to the ceiling of the box. There is also a ball at ...
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Where did the work done by smaller force go?

Suppose I have a spring of spring constant 150 N/m.One person pulls with it a force of 15 N. The extension produced is 0.1 m. Now another person comes and pulls with a force of 30 N (The first person ...
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Fundamental question on spring and tension forces

Consider two situations when a body of mass $m$ is suspended freely by: (I) A string (II) A spring Now we cut the string/spring. What would be the acceleration of the body just after we cut ...
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Regarding sign of energy stored in springs

A block of mass $m$ is at natural length initially.It is attached to two springs having spring constant $k1$ and $k2$. It is attached in such a way that when one elongates ,the other compresses.Using ...
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How can you change the length of a tensioned spring?

Imagine that there is a spring, with a known force constant, diameter and stiffness, as well as a known length. The spring is under tension. I want to quickly change the length of the spring by ...
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How does one prove that center of mass does not accelerate on the two masses on a spring system? (at resonance condition) [closed]

This is my attempts so far, $$\vec{r} = \frac{ \vec r_1 m_1 + \vec r_2 m_2}{m_1+m_2}$$ $$\dot{\vec{r}} = \frac{ \dot{\vec r_1} m_1 + \dot{\vec r_2} m_2}{m_1+m_2}$$ $${\ddot{\vec{r}}} = \frac{ {\...
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Resistive forces on Simple Harmonic motion

How is a simple harmonic motion affected by resistive forces? In this case, a spring block system is placed on rough horizontal surface. How to derive the block's displacement equation? I couldn't ...
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Electromagnetics: Spring with mass hanging, then current passes through it

Hi, Quick Question on a possible conceptual misunderstanding. I have tried 2 methods for this question: 1) Approximating the 2 turns as 2 isolated turns separated by distance 1mm. Then finding the ...
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Predict the behaviour of this system involving magnets oscillating on springs through connected coils

I came across an interesting problem recently and started to think about the situation in more detail. Here is the setup: Identical bar magnets are suspended from identical springs, with the North ...
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Equilibrium position of a spring vs its mean position

“Equilibrium position of a massless spring vs its mean position” I am confused about these two terms. Do they mean the same thing? I understand the term ‘mean position’. Let’s say one end of a ...
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Modelling a spring powered car - using a cubic

I've designed, built and tested a mousetrap-powered car. However, I'm having trouble with how to fit the results. I claim an approximate fit to a displacement-time graph of the car should be a cubic ...
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How can I use the spring constant (k) to solve for an objects position in respect to the origin?

In my physics class, the current chapter discusses kinetic energy. This is my very first physics course, and unfortunately, remote instruction has made it a little more difficult to understand certain ...
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Spring Constant and Second Derivative

According to my book the spring constant is given by $k=V''(X_o)$. Where $V(X)$ is the potential energy function. if I use the function $V(X)=X^6+X^4$ the spring constant is zero at $X_o=0$. However, ...
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How work done on a spring changes based on compression or stretching

If you apply a force to a spring, causing the spring to compress by a distance 0.1 m, and the spring is at rest before and after the compression. Assuming no sources or dissipation of mechanical ...
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Recoil of circular trampoline [duplicate]

I am doing an experiment where I am dropping a small steel ball on a trampoline and measuring its rebound height and how it is affected by the displacement from the middle of the trampoline. Any ...
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1answer
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A block falling on two intertwined springs

A cube with mass $m$ falls a distance $h$ straight on top of two intertwined springs (red and blue) with respective spring constants $k_1,k_2$ as the image below shows: I'm asked to determine the ...
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Elasticity Mechanics Problem

This is an example question from the book that I dont understand. (I have attached a photo of the problem). The question says this : "A light spring, of natural length 1.6m and modulus of elasticity ...
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Is spring constant really a constant value? ( Assume the spring is not changed )

l just encountered a problem that is about a string in harmonic motion. The question states that the cord is elastic and gives a table like this The question didn't states that the cord changes, only ...
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Can I say $F_s=-kx$ is also equals $F=ma$? [closed]

Is $F=ma$ a general formula for all cases in the physical world? or Is it only limited in linear motion?
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Spring force in a massless spring [duplicate]

Why is spring force in a massless spring constant throughout the spring? I had a similar question about tension is a massless string. This thread answered it for me. Tension on a massless string ...
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Jumping from a building safely using a table

assuming that a person lies flat on top of a table and uses it to jump from a building of height 20-30 meters, will the legs of the table absorb the forces of the fall and leave the person uninjured, ...
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1answer
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Maximum speed harmonic motion

Consider the following set up: Masses 1 and 2 are connected by a spring and are at rest. Mass 3 comes with velocity V and strikes ball 1. I have seen that in this instance, the maximum speed of ball ...
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How do tension and linear density affect speed of waves in spring? (Qualitative)

Wave speed, tension and linear density (mass per unit length) can be related by the following equation: $$v=\sqrt{\frac{T}{\mu}}$$ The derivation of the equation could be done by using calculus. I ...
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Understanding the concept of energy in a vertical spring system

I have a concept I don't think I get well. I would like to clear out a couple of things. Consider the following system: The spring on the left is the one on the right after extension from equilibrium....
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Principle of energy conservation fails to result in correct spring equilibrium distance

Assume I have a spring with a mass hanging from it such that the mass pulls the spring down until it just about touches the floor, but no force is applied by the mass to the floor itself. I want to ...
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How do I correctly model this system of torsion springs?

I am currently designing a symmetric parallel mechanism that can be modeled as follows: Here, $\tau^j$ denotes actuator moments and $k_i$ are torsion springs constants. For a specific point in the ...
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Why do springs have a linear relationship?

Why does: F = k*(change in position) Why can't the relationship be quadratic or higher ordered?

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