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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15 views

How can I find effective force of Rotated frame?

I have frame on below figure. I want to fix bead at the point $(0,0,R)$ with a new rotated reference frame. Then I'll find $F_{eff}$. But I'm stuck since new frame is not rotating but rotated. The ...
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Total energy in the given system [closed]

Need help with this pysics question. I couldnt figure out how to approach this kind of questions. A complete solve is needed for this.
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How to find effective spring constant of system which is neither series nor parellel [closed]

I have a spring mass system like this. The spring constant of every spring is $k$, every angle is $120^{\circ}$. Then how do I find the effective spring spring constant of the system?
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Equation of motion in a paraboloid

I am not a physicist I started reading a book about Lagrange and Hamilton equations, where is easier to solve physics exercises than using the usual Newtonian method. But maybe I have some concepts ...
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24 views

How does position change if the damping force depends on velocity squared instead of linearly? [closed]

How would a graph of the motion of a spring over time change if the initial damping force depended linearly on velocity was changed to depend solely on velocity squared? and why would it change in ...
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Potential Energy of a Lagrangian System Involving a Mass and Spring

If you were to calculate the potential energy term of the Langrangian for this system, would there be an mg term included, or would it be unnecessary as the change in potential energy of the mass ...
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Choice of origin for calculating potential energy of a spring-mass system [closed]

I know that the point of origin from which we can calculate the potential energy of a particle is arbitrary. However, I cannot see how it's possible is case of a mass-spring system, since the mass ...
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52 views

Reason for applying energy conservation and balancing force

I've this question When asked I was told that we will balance force for $2m$ object i.e., $(2\mu)2mg=Kx$ And we will conserve energy for $m$ mass i.e., $Fx=\frac{1}{2}kx^2+\mu mgx$ Both the blocks ...
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How to calculate the damping coefficient using the tagent delta value? [closed]

The Problem I have a mechanical system with multiple degrees of freedom like this one: And I am given the following information: The mass $m$ in (kg) The spring constants $k$ in (N/m) The damping ...
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Oscillation of a spring and added mass

Why do we need to add a mass to a spring to make a simple harmonic motion in it? Why can't only a spring 'without a mass' make a simple harmonic motion when we apply an external force?
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Hooke's law for atom-to-atom energy well can't be right

Hooke's law says that the potential energy between two atoms is, $V(x)$, for two atoms with distance $r_1-r_0$ is $\frac{1}{2}kx^2$. At room temperature and at equilibrium, water would have an ...
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Equations of motion for non-reciprocal spring-mass system

I am reading this paper. https://www.nature.com/articles/s41467-019-12599-3 The authors derive the equations governing a 1-D mass and spring system with non-reciprocal springs. The final equations, ...
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What are the maximum spring lengths of a double spring pendulum?

NOT a duplicate of Maximum length stretch of vertical spring with a mass?, I am asking about a system with two connected springs, as shown in this diagram For a single spring, you can simply equate ...
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How can the equation of force for a spring and damper in series simplify to just the equation for a spring if the damper is set to “zero”?

I have been working extensively on modeling physical objects using the stress/strain relationships of springs and dampers as described here: https://en.wikipedia.org/wiki/Viscoelasticity#...
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How friction, tension, spring forces are derived forces from electromagnetic force?

I always imagined friction force causing due to some irregularities in the plane like this, but lately I am having a hard time thinking "How it is a derived force from electromagnetic force?&...
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Series combination of springs

When a spring mass system is connected vertically with two massless springs in series whose spring constants are $k_1$ and $k_2$ to a block of mass $m$ we know that equal forces act on both the ...
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Effective spring constant of elastic band

How do you derive the effective spring constant of an elastic band stretched in different 2D shapes that being triangle with 3 anchor points or hexagonal with 6 anchor points? In a previous question ...
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For what configuration of oscillators on a ring the ring will not move?

Once upon a time, on a two-dimensional plane. Imagine we place pairs of oscillators on an incompressible ring. The ring has mass $M$ and radius $R$ (though I don't think this is of any importance), ...
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Conceptual question about Identifying type of system that generates a response based on the graph of the response

Based on the graphs of the response, how can you determine what type of system generates the response, a rotating unbalance, base excitation or directly forced vibration system? The correct answer is ...
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Mass-spring damper system subjected to harmonic excitation [closed]

The following graphs represent the steady state responses shown in red of a mass-spring-damper system subject to harmonic forcing shown in blue in the graphs below. How can you determine which of the ...
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Equilibrium position of a body attached to spring of spring constant $=k$

I am really confused by the equilibrium position of a body attached to a spring, when do we use conservation of energy i.e mgx=(1/2)kx^2 and when to use mg=kx? Here X in all cases is the distance from ...
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Speed of two blocks connected by a spring and velocity of its center of mass

In the following short of the MIT regarding two blocks connected by a spring, it can be seen that the center of mass of the two-block system moves at constant velocity. However, in a side question: &...
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Particle in a cylinder with a spring, sign convention in potential energy (Lagrangian multipliers)

I'm trying to get the force of constraint. The problem I have is when defying the sign of the potential energy using cylindrical coordinates $(\rho,\phi,z)$, what I have is: $$ V=mgy-\frac{1}{2}k\left(...
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Why isn't tension in a tug-of-war twice the balance's reading? [duplicate]

I have a question related to how the reading of the balance is equal to the tension of the string. In my opinion, the reading of the balance should be twice as much as the tension. This is the diagram ...
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Regarding the Hooke's law and how it can be described using stress and strain [closed]

Can someone kindly explain to me the how the relationship marked as (2) below is obtained from the relationship marked as (1). In our Physics class, our lecture wrote down the following relationship, ...
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Work done by electric force on spring mass system

A point mass $m$ having charge $q$ is connected with massless spring to a rigid wall on a horizontal surface.A horizontal uniform electric field $E$ is switched on and mass is displaced through a ...
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Are the forces on either end of a spring equal when it is extending?

I'm a bit hung up on the idea of forces at either end of a spring being equal, surely by extending the spring you are moving its centre of mass and hence applying a resultant force on it. I get it ...
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Why do different parts of a spring with mass stretch by different amounts?

If a massed spring is kept horizontal why should different parts stretch by different amounts? Suppose a one end is fixed, and the other is free with a velocity $v$ (uniform velocity) Suppose in $t$ ...
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Compression of a spring

I find the following situation: I have a spring with constant $k$ that meets a mass $m$ at one of its ends, which is elongated at a distance $L$ from the equilibrium point as shown in the figure. If ...
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How do I calculate the modulus of elasticity of a spring when I don't know the cross-sectional area? [closed]

'An elastic spring of natural length 1.5 m has one end attached to a fixed point. A horizontal force of magnitude 4 N is applied to the other end and compresses the spring to a length of 1 m. Find the ...
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Why is more difficult to pull a short spring than a long spring? [closed]

Why is more difficult to pull a short spring than a long spring? I guess it has to do with the law of the levers but I am not sure
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Double Spring Damper Mass System Transfer function

I am attempting to find the resonance frequency of a double mass spring system as shown in the image. I need to find the resonance frequency so that I can input it into my sin wave generator in MATLAB ...
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Second order ODE for constant external force

Given a general ODE for damped spring with constant external due to gravity $$my'' + \gamma y' + k y = -mg$$ where $m, \gamma, k, g$ are positive. I have to show that given an initial condition, the ...
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Natural frequency mass-spring system on inclined plane [closed]

I have to find $\omega$ for this system using the forces. I have a disc $radius = R, mass = M$ By using $F=ma$, I get $mg\sin\theta - kx = m\ddot{x}$ then $$-g\sin\theta + \frac{kx}{m} + \ddot{x} = 0$...
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Would a coiled spring with more rings produce more force when pressed and then released?

Suppose that you have 2 coiled springs. Both are equally tall, wide, and thick. One has more rings than the other; this means that one is longer than the other when made into a straight line. Would ...
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Why does SHM happen in vacuum?

Very simply put, I don't understand why SHM happens. If a spring or a pendulum can attain lowest potential energy by stopping at the mean position, why don't both of them stop at the mean position ...
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Extension of a Spring [duplicate]

If a spring of spring constant $k$ and very small mass is stretched by a force $F_L$ on the left and a force $F_R$ on its right, with $F_L > F_R$, by how much does the spring extend? If the forces ...
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Differential equations of a forced coupled spring-pendulum system

Currently working on a problem and I can really figure out how to write the differential equations for it. Here's the situation: So we have a mass $m$ tied to the wall with a spring of constant $k$. ...
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Is the force exerted on a mass, $m$, by a spring equal to $m$ times (acceleration of the mass due to the spring)? [closed]

Ignoring friction. Is the force exerted on a mass, $m$, by a spring equal to $m$ times (acceleration of the mass due to the spring)? AND Is the magnitude of the force on a mass due to a spring equal ...
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How do I deduce the sign for the restoring forces in a system of N masses connected by N+1 springs?

Suppose we have a system of $N$ masses connected by $N+1$ springs, where the stiffness of the springs alternates between $k$ and $2k$. We assume N to be an even number. Determine the forms of the ...
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Angular velocity of Pendulum

I am a high school student and investigating about Wilberforce Pendulum. I do not understand the mathematical theory of Wilberforce Pendulum. I want to know how angular-velocity changes when the ...
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Phase of a mass spring damper system versus frequency ratio

Equation 2.40 referred to in the caption is But a plot of $\theta$ looks completely different from the above figure since the arctangent function ranges from -pi/2 to pi/2 whereas the angle in the ...
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Interpreting vibration graphs to find number of equilibrium points

In Coulomb damping, there is a continuous range of equilibrium points. However, from the graph above it appears that only 1 or 2 equilibrium points exist because the system is in equilibrium when the ...
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Potential energy of a mass bewteen two springs with pendulum hanging [closed]

I need some help with this problem. A particle of mass $m_1$ hangs from a rod of negligible mass and length $l$, whose support point consists of another particle of mass $m_2$ that moves horizontally ...
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Professors gave two different solutions for the same problem. What is the right one?

"A ball $m$ moves horizontally with velocity $v_0$, colliding with a spring $k$ fixed to a block mass $M$ such as shown in the diagram. The block $M$ has no friction with the ground. What is the ...
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Measuring the natural frequency of a spring-mass system with the graph

On a graph of a system under a external force y = distance and x = time where the external force start at t = 0, it's easy to find the driving frequency. $$F = \frac{\omega}{2\pi}, \omega = \frac{2\pi}...
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Can the Newton - Euler equations be used to model a rigid body attached on several springs?

imagine a three dimensional rigid body with known Moment of Inertia (at the center of mass) $I_{\text{cm}}$ which is suspended by several springs at different points on the surface of the body. The ...
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How to draw the best fitting line on Hooke's Model for a spring?

I just started learning about Hooke's Law and calculating the slope of a force vs. extension graph of a spring for the spring constant. If I conduct an experiment and the extension length of my spring ...
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Why is the tension equal to the spring force here?

Here the block is oscillating and to solve this question I took the tention in the string to be equal to the spring force But if that's the case a particle in the junction of the spring and the rope ...

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