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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Falling Blocks and Forces [closed]
After discussing this problem with multiple others, I've heard tons of different answers. I understand the explanations for both A and D. I've found differing sources on the web for this question as ...
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Potential energy curve for spring attached to pulley [closed]
Assume a block of mass $m$ is held in place and is attached by a pulley to spring with constant $k$ at equilibrium attached to the ground. The mass of the pulley and spring is negligible. What would a ...
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Pulley and spring block system conservation of energy [closed]
Given that ℎ = 0.25 m. When the system is released from rest, determine if block C
will hit the ground. Explain your answer.
The solution given does not factor in the kinetic rotational energy of the ...
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Forces on spring, Newtons third law [closed]
I'm trying to understand how Newton's third law works with springs.
If we hang a block on an ideal spring mounted to the ceiling, in equilibrium, the block is affected by gravity downwards and the ...
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Question with work and Spring
Hey so im currently going through questions and I've become confused on this question.
I was able to get an answer a different way, finding the x value by equating F = kx and solving for x, and then ...
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Combing two non-linear forces
Imagine a permanent magnet suspended in the air with an iron disc below it. Inbetween these a thick aluminium barrier. Attached to the disc at an angle is an air spring (or air shock). The magnet ...
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Using Galilean transformation to solve a question with a block-spring-block system [closed]
I am currently practicing for my PHYS 101 major test and encountered this question:
In Figure 11, block 1 (mass 2.50 kg) is moving rightward at 10.0 m/s
and block 2 (mass
6.20 kg) is moving rightward ...
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Driven Harmonic Oscillation with Pre-Loaded Condition
I hope I'm right here in that forum:
A simple harmonic driven damped single mass oscillator is described by the equation of motion:
$$ \ddot{x}=-\frac{d}{m}\dot{x}-\frac{k}{m}x+\frac{A}{m}sin(\omega t)...
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Mass added to a oscillating spring block system changes the energy stored in the spring [duplicate]
If a block B is attached to a spring and oscillates with amplitude $A_1$. Another block A is added on the block B at equilibrium phase.
At equilibrium, the net force acting on the block B is zero. So ...
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Why do strings in musical instruments have helical shape?
We learn that waves travels in strings under tension, have fundamental frequencies, but I have no luck understanding why don't musical instruments have simple strings with uniform thickness which we ...
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Relativistic string tension vs non-relativistic Hooke's Law tension
I don't have a specific question, I am just confused about what I have read and would like an explanation of it. On pages 118 and 119 of "A First Course in String Theory", professor Zwiebach ...
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Amplitude of the steady-state response to undamped spring-damper system subject to forcing function $p_oe^{-at}$
I am trying to find the amplitude of the steady-state solution to the following undamped equation of motion:
$$m \ddot{u} + k u = p_0 e^{-at}$$
The question is asking to prove that the steady-state ...
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A mass attached to a spring is allowed to fall. Why is it's lowest point where the work done by gravity equals the work done by the spring? [closed]
The Problem
This is the problem that originally sparked my interest:
A spring of spring constant $k = 8.75 \frac{\text{N}}{\text{m}}$ is hung vertically from a rigid support. A mass of $0.500 \text{kg}...
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Why does $\omega^2=\frac{k}{m}$?
Why does $\omega= \frac{2 \pi}{T}=\sqrt{\dfrac{k}{m}}$? If we take the differential of $a=-\frac{k}{m}x$ from $F=-kx$ by SHM definition, we get $x=A\cos{(\sqrt{\frac{k}{m}}t+\phi)}$. And we just ...
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Obtaining Euler-Lagrange equations for a mass attached to a spring, connected to a pendulum via a pulley [closed]
I'm trying to setup the Lagrangian for the following system, I'm quite confident this is correct, but I would like a second pair of eyes to analyse my solution. Here is the problem at hand
A block ...
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Pattern Recognition for an Equation of Motion
I have the following equation of motion describing a series non linear spring-mass-damper system:
Since each spring is non-linear, each ith spring has two stiffness coefficients, namely k_i and ...
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Potential energy in an ideal spring compressed from both sides
My query is that suppose an ideal spring is present and is compressed from both the sides by a distance $x_{1}$ from the left and a distance $x_{2}$ from the right. So what will be the potential ...
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Constraint equation for an elastic pendulum
I would like to know if you can help me determine the restraining force for an elastic pendulum. The problem is the following
A particle of mass $m$ is suspended by a massless spring of length $L$. ...
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Is there any effect of gravity in a vertical nonlinear spring? [closed]
I know that for a linear vertical spring, the governing equation of motion written in the presence of gravity is the same as the one written in the absence of gravity. We can either undergo a ...
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Difficulty in deciding when to apply work-energy theorem [closed]
I was trying to do a certain question in physics and the answer I was obtaining was different than the actual answer I don't know why?
Two blocks A and B of the same mass connected with a spring are ...
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Strain potential energy and the spring extension [duplicate]
There is a spring with springs constant $k =200 N/m$. The spring is held vertically and a mass of 2 kg is attached to it. We will assume that $g=10 m/s^2$. The extension of the spring is to be found. ...
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Why the total work to move a spring from point A to B equals the integral of all forces needed to hold it balance at every point between A and B?
I'm reading a Calculus book that mentions the Hooke’s Law for Springs that says the force needed to hold a spring at $x$ cm from it normal position is: $F = kx$, where $k$ is a constant.
I can ...
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Normal modes of a circular array of interacting particles
I want to study the normal modes of an array of $N$ identical atoms placed in a circular lattice. The particles interact among them via Yukawa interaction potential,
$$\phi_Y(r)=\frac{A}{r}exp(-r/r_0)....
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Does Elastic Potential exist?
In gravitation, we have gravitational potential energy U and gravitational potential Φ where: $$Φ = \frac{U}{m}$$
In electrostatics, we have this instead: $$Φ = \frac{U}{q}$$
In a spring-mass system, ...
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What is the difference when a block attached to the spring is lowered slowly in vertical direction and when it is released suddenly? [duplicate]
Friction is not considered in any case and I would like to know why the extension in the spring when released slowly is $mg/k$ where as in suddenly released it is $2mg/k$. Can you prove these cases ...
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Lagrangian function of a mass-spring-system with deflections in 2D
I’m looking for the lagrangian function of the following problem (as seen in the picture). We have a mass connected to two springs. We can deglect the mass in two dimensions.
My main problems are:
...
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Spring constant of typical flute style champagne glass?
I am a high school student doing a lab report on the relationship between height and resonance frequency of champagne glasses, using the "singing glasses" method where you rub your finger ...
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Why is the Work on a Spring Independent of Applied Force?
Why is the work done on a spring independent of the amount of applied force acting on it? Why does it only depend on the spring constant and the amount of stretch or compression?
For example: $k=2$ N/...
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Vibrational Modes and Centers of Torque
This is addendum to the question: Vibrational Modes and Imaginary Frequencies of a Three Spring System.
After performing NASTRAN analysis on this problem, it appears that I was incorrect in my ...
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Vibrational Modes and Imaginary Frequencies of a Three Spring System
This question is an extension of the one I posted a few days ago: Rigid Body and Two-Spring System and the Lagrangian.
I am attempting to find the vibrational modes and their frequencies of an ...
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How to find particular solution to this system of two masses connected by a spring with constant applied forces? Does an analytic solution exist?
This question comes from review I'm doing on my own, so it's not any homework question. I thought this question would be easy to solve, but I seem to be stuck and I am having second thoughts, so I'm ...
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Finding the equation of motion from diagram [closed]
Friction, and initial values of functions can be ignored. $x(t)$ and $y(t)$ stands for the horizontal displacement and $f(t)$ is the force working on mass $M$. $K_1, K_2$ are the coefficient for ...
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Potential energy involving both elastic and gravity
A block of mass $m$ is placed against an ideal spring as shown. Initially the spring (of force constant $k$) is compressed by a distance $s$. The block is then released and slides a distance d up the $...
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Elastic Potential Energy of spring
Suppose I stretch an ideal spring by distance $x$ then we know that the potential energy stored in the spring during elongation is $kx^2/2$. Now if I leave the spring it returns back to its natural ...
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Why Doesn't the Amount of Work Determine the Elastic Potential Energy in Springs and Gravitational Potential Energy? [closed]
Why isn't the amount of work done on the spring the determining factor for the amount of elastic potential energy stored in a spring?
I learned that the change in potential energy is a result of the ...
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Rigid Body and Two-Spring System and the Lagrangian
Suppose I had a $2D$ beam with a spring placed on either end of the beam. The spring constants would are $k_1$ and $k_2$, the distance between the left spring and the COM is $d_1$ and the the distance ...
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(Taking Different Reference Points Give Different Conclusion) Approximation for Single Spring Pendulum
Please refer to this post:
Approximations for a spring pendulum's equations of motion in 2D
I am doing the same approximation, by letting
$$\theta \rightarrow \epsilon \theta$$
$$a \rightarrow \...
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Question about a bungee jump problem relating weight to spring constant [closed]
In the following solution to the bungee jump problem below there is a part that I don't understand. In the middle it says that we can eliminate the weight $mg$ from the fact that the rope extended ...
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Equation of motion for a driven mechanical oscillator
I'm trying to derive the differential equation for a driven horizontal mechanical oscillator.
If I suppose that a spring is fixed at one end and attached to a solid at the other end and that the solid ...
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Approximation for spring pendulum
In this post,
Approximations for a spring pendulum's equations of motion in 2D
I get the most of it, but the simple one.
I don't quite understand why we can approximate $l+a \sim l$
Without the ...
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In order to determine spring constant of a vertical spring why don’t we use $mg=kx$? [closed]
Why don’t we apply $mg=kx$ instead of using the law of energy conservation to determine the value of spring constant?
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What is the role of fictitious force in simple harmonic motion?
While I was searching about simple harmonic motion, Wikipedia defined it as,
"In mechanics and physics, simple harmonic motion (sometimes abbreviated SHM) is a special type of periodic motion of ...
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Why must the spring forces of springs in series be equal?
I was learning about two springs in series connected to a wall on one side, and a block of mass m on the other.
Model:
WALL -- Spring 1 -- Spring 2 -- mass
They say that the force on the mass, $F_m = -...
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How do you calculate the time taken in a collision?
For example a car with a known speed and mass crashes with a completely unyielding wall. The car has a crumple zone, (and you know the modulus of the crumple zone) so it doesn't stop immediately, but ...
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Non-linear spring systems
I've recently been re-learning some physics, and a question came to me when looking over Hooke's law:
In the following I am always assuming that the force required for permanent deformation is ...
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What are the forces that do work when a spring between two masses pulls inwards?
Two masses (indicated as 1 and 2) of value $m$ are connected by a spring with an elastic constant $k$ and a natural length $l_0 = 0$, as shown in the figure.
Initially, the two masses are separated ...
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Why both 'Newton's Second law' and 'Conservation of Energy' applied to the same problem lead to two distinct answers?
A block of mass 'm' is attached to one end of a string and a floor-fixed spring with spring constant 'k' is attached to the other. The string goes over a frictionless pulley. Initially, the spring is ...
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Probability of overlap of two isolated harmonically bound penetrating spheres of diameter $d$ at an average separation $a$
Consider I have an Einstein crystal with spheres residing at simple cubic lattice points with lattice constant $a$. Each sphere has diameter $d$. Each sphere is connected with it's lattice site with ...
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Forces on the Palm Tree in Baahubali 2
I'm working on a project for physics class where we are asked to analyze the physics of a movie. I chose this scene (2:00) from the movie Baahubali 2. I was wondering if the palm tree works like a ...
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Binomial And Trigonometric Approximations Give Different Answers?
So I was solving a question that is based on Simple Harmonic Motion. The question is as follows: There is a spring of spring constant $k$ and natural length $2a$ (it is in its natural length initially)...
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