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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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Simple harmonic motion problem [on hold]

A particle of mass m is attached to three springs A, B and C of equal force constant k as shown in figure. The angle between each pair of springs is 120° initially. If the particle is pushed slightly ...
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See-saw with springs attached on both ends [on hold]

Hello, I have question regarding following task; we have see-saw that weighs 2kg and on each end there is a spring that is connected both to the ground and see-saw. Coefficient of the spring is 10000 ...
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2answers
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Harmonic motion with friction [on hold]

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
39 views

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
67 views

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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46 views

Demonstration of simple harmonic motion [closed]

I have been asked to demostrate that the following object has a simple harmonic motion It is a rigid body and we know its radius ($R$), its mass ($M$) and its moment of inertia $I =MR^2/2$ as it is a ...
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2answers
35 views

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
37 views

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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1answer
40 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
37 views

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
26 views

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
67 views

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
40 views

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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3answers
54 views

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
49 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 ...
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1answer
49 views

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
77 views

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
34 views

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
42 views

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
74 views

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
42 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
34 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
36 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
49 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
44 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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1answer
43 views

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
34 views

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
67 views

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 ...
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1answer
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How does elastic potential energy translate into kinetic energy and momentum?

Let's assume there's a spring with 10,000J of elastic potential energy placed between two objects with a mass of 10kg each. Like this: 10kg< 10,000J >10kg I assume that the energy would be ...
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2answers
74 views

Why do we include $x$ in this Spring Equation?

I am currently in Physics 1 and we are learning about Energy. This may sound like a dumb question but I am currently trying to understand this. Here is the question of the problem: A 10kg block is ...
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0answers
47 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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1answer
52 views

In a vertical spring, why is the amplitude $2mg/k$ and not $\sqrt{2mg/k} - mg/k$?

When the spring is in unstretched position, the extension is $0$. At the equilibrium, which is the mean position of the SHM, extension is $\frac{mg}{k}$. The maximum extension possible should be, by ...
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1answer
99 views

Newtonian mechanics: pendulum spring system [closed]

I am thinking about the following pendulum-spring system. But something is off with my equation of motion. Problem We have a uniform rod of length L with mass m pivoted at one end. We ...
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4answers
60 views

Springs and Hooke's Law

Suppose a mass was stretching a vertical spring. Why does the mass have a velocity in its equilibrium position where the net force is 0? Note the spring is massless.
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4answers
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Motion of a mass on an ideal spring [closed]

Consider the following figure : Now my question : In the second case let $x_1 \neq x _{\text{max}} > 0$ In the third case It can be said that $x_2 =-x_1 $ ? or must be $x_2 =-x _{\text{max}}$? ...
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5answers
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Why does my bumper scrape when driving fast over a bump but not slow?

When driving my car over a bump or a quick change in gradient (from flat to uphill or downhill to flat), if I don't drive slowly and the bump/change in gradient is large enough, I'll end up with my ...
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0answers
42 views

Calculating spring constant [closed]

We have a vertical spring positioned on the moon. When compressed by $17m$, this spring sends $1500kg$ packages into escape velocity $(2400m/s)$, and then back to Earth. What is the spring constant? ...
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1answer
47 views

Conservation of energy on a spring. When are forces positive and negative?

I'm doing physics problems on my own and I cannot figure out when Potential Energies (U) are supposed to be positive and when negative in a Conservation of Energies problem. Take for example this ...
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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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1answer
35 views

Reason for $F_s = kx$ in MIT video lecture #1 by Instructor J.Kim Vandiver on engineering dynamics

In the Video Lecture #1, Instructor J. Kim Vandiver says at 21:26: ".. And so third, you deduce the signs basically from the direction of the arrows. First we need what's called your constitutive ...
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2answers
36 views

Do we need a small displacement to create a oscillatory motion on the spring?

Do we need a small displacement to create a oscillatory motion on the spring with a mass attached to it? Whats the limit of the displacement that we can give initally to create a oscillatory motion? ...
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3answers
57 views

Problem in harmonic motion

In the harmonic chapter of my book it is written that $\omega^{2}=\frac{k}{m}$ where $\omega$ is frequency and $k$ is the spring constant. But how did they get to this formula? What is its derivation? ...
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3answers
74 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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3answers
50 views

Contradiction on Oscillating Mass [closed]

A bead is oscillating in horizontal direction as shown in the figure, our aim is to find the angular frequency of the oscillating bead First, we can write the potential as: $$V(l)=\frac{1}{2}k\cdot l^...
3
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1answer
78 views

Effective spring constant of springs arranged in a helix

Consider a helix that is non-rigid in which there are several evenly spaced springs that are parallel to the helical axis. The springs connect subsequent turns in the helix and all have the same ...