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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Is there a relationship between the damping coefficient of a spring and its K value?

I thought the decay of a pring had nothing to do with its spring constant, but I just did a lab and I got a correlation of R2 = 0.997. Is it just a coincidence? or is there really a connection between ...
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Deformation of an elastic ball

Suppose a sponge ball is being compressed, due to applying a known force in a specific direction. The ball's shape will be distorted. Given that the deformation (displacement) is known in the ...
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Exploring the damping of a vertical spring-mass system

I am planning to write a small paper about the damping of a vertical spring-mass system. I want to explore a few interesting factors affecting the damping. Right now, I thought about making the mass ...
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213 views

What do force extension graphs for springs show?

Say for example a 4N force is applied to a spring. The spring's restorative force will increase from 0N to 4N until the spring is in equilibrium. Throughout this time the resultant force acting on the ...
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Hanging mass from spring/ Setting potential to 0

I'm working a problem from Taylor's Classical Mechanics Book, and it's highlighted a couple issues I never quite wrapped my head around (despite getting good marks in advanced undergrad mechanics and ...
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242 views

Can a car with a high center of gravity and front and back wheels close together lean while its stopped

I dont own the first 3 pictures Imagine a car with a high center of gravity and front and back wheels close together. Similar to this. This is the car before moving. Ignore the force arrows. It ...
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Making FBD in Newtonian dynamics [closed]

Can anyone give me a general method to make free body diagrams with strings and springs in Newtonian Dynamics that would help me to solve Physics Olympiad questions easily??(Without using analytical ...
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256 views

Determination of spring constant $k$ for an elastomer

Primary Question: How can you determine the spring constant $k$ of an elastic material? I was recently tasked with finding the spring constant for a series of elastomeric materials, the first of ...
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169 views

Why does pseudoforce act in opposite directions when we move from ground frame to the centre of mass?

In the solution of above question, they solved it by moving from ground frame to the frame of centre of mass. But we know that, to move from one frame to another ,we have to subtract the mass-...
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117 views

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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Total extension in spring [on hold]

A block of mass 200g is suspended through a vertical spring. The spring is stretched by 1cm when the block is in equilibrium. A particle of mass 120g is dropped on the block from a height of 45cm. The ...
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27 views

Which approach to take with a vertical spring?

Lets say we have a spring hanging vertically with spring constant $k$ attached to a block of mass $m$. The system is at rest. Then, you pull the mass downwards, extending the spring by distance $x$,...
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421 views

How resistance in coils affects the damping of oscillations of a magnet through them

I performed an experiment where I connected a magnet to the end of a spring with the north side on the bottom. The magnet at the tip of the coil was aligned to pass through a column of coils of about ...
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141 views

Inclined plane with friction and a spring

I am given a body with a mass of 1 kg that slides at a constant speed down an inclined plane with an angle of 30 degrees. At the end of the incline there is a spring with a spring constant of 500 N/m. ...
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201 views

Oscillation of mass $m$ on a spring when another mass $m$ is added to it at equilibrium

I have a spring of length $L$ when unstretched with one end fixed to the roof. At the lower end I place a mass $m$ and drop gently so it stretches by $x_1$ at equilibrium so that $mg=kx_1$. Now I ...
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Elastic Pendulum on accelerated base (Hamiltonian Approach)

Lets consider an elastic pendulum with $k$ spring constant and $\ell$ its natural length. The base of the pendulum is moving with constant acceleration $a$. a) Get the hamiltonian of the system and ...
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Hooke's law and the conservation of energy [closed]

We did a Hooke's Law lab in class today in which we held a mass (100 g) under a hanging spring, and then let it drop. We were supposed to collect the displacement (18.7 cm) as data. Here is the link ...
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Partition function of 2 particles connected by a spring

Consider a system composed of two, point-like particles connected by a linear spring, enclosed in a box. For simplicity, consider the system to be one dimensional. The energy of such a system is $E(...
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279 views

External forces in momentum conservation

I know that momentum conserves when no external forces interfere with a system. But I don’t completely understand it, here’s two examples that I don’t fully get: Two objects collide on a plane that ...
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Damping of horizontal mass-spring system at high velocities [closed]

I am trying to study the damping of a horizontal mass-spring system at high velocities. The equation for damping due to a viscous fluid at low velocities is: $$ma+cv+kx=0$$ I changed the equation ...
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37 views

Does any force on a spring make it oscillate?

If I push one end of a spring (while the other end is attached to a rigid support) with a force of F and over a distance of $x = F/k$, it is only after a the end of the spring has been displaced x ...
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Why is the phase velocity of waves on a rope independent of the wave length?

A rope is described by the wave equation $$ (\partial_t^2 - \partial_x^2) \, \varphi = 0 $$ It is well known that there is no dispersion for resulting wave solutions. This implies that all plane waves ...
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255 views

Why does the phase velocity of a string attached to springs depend on the wave length?

A string can be described by the wave equation $$ (\partial_t^2 - \partial_x^2) \, \varphi = 0 $$ while a string attached to a spring (i.e. with a harmonic restoring force) at each location is ...
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Is there any proof that $F=-kx$?

How do you proof that $F = - kx $? And why is there (-) on the formula(?)
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Whether this calculation is applicable to impact application..?

I have some confusion with this calculation for my design. I need to do the endurance testing for the pin which has to be loaded on flat face with the spring impact force, In this case how can I ...
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226 views

Forces acting on an aircraft during landing

I am currently busy with a project which involves the design of a landing skid for an unmanned aerial vehicle. I am currently underway with calculating the forces which will act in on the landing skid ...
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63 views

Work done by spring force

Consider a spring connected to blocks on it's ends lying on smooth horizontal table. Now let the right end block be displaced $x_1$ and left end be displaced $x_2$ from the mean position such ...
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Does it take more force to press two springs in series?

Let's say I have a spring that takes force $F_1$ to fully compress it from a relaxed state with spring constant $k_1$ and total displacement from relaxed state $x_1$, which I believe is related ...
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Very Basic Q on Hooke's Law Problem Pt.2

"A uniform beam AOB, O being the mid point of AB, mass M, rests on three identical vertical springs with stiffness constants k1, k2 and k3 at A, O and B respectively. The bases of the springs are ...
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A question about an assumption on a Very Basic Hooke's Law problem

A question states: A uniform beam AOB, O being the mid point of AB, mass $M$, rests on three identical vertical springs with stiffness constants $k_1$, $k_2$ and $k_3$ at A, O and B respectively. ...
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Strange factor of 2 in Hooke's Law [duplicate]

I was working on a PGRE practice problem: A brick of mass $m$ falls onto a masses spring with spring constant $k$ from a height $h$ above it. What is the maximum distance the spring will be ...
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Need guidance in manipulating the formula for frequency

I am confused as to how to go about the following question. The question explains that f refers to the frequency of an oscillation, $m$ refers to the mass of an object attached to a spring, $k$ ...
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How should the spring constant of a cord scale with uniform changes in its overall size? (length and diameter)

Stemming from this: if a girl is playing with a paddle ball, and the toy and her are suddenly shrunk to a size 100 times smaller in all three dimensions, how will this change of scale affect the ...
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Kinetic Energy of a spring cylinder system

Consider the system in the above diagram. The surface has enough friction to initiate pure rolling. Questions: 1)If we stretch the spring from the equilibrium by about some distance x. The spring ...
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459 views

Simple harmonic motion with pulley with mass

The problem is presented in the following diagram I'm refreshing things I've already learnt and I know I have some major gaps but I've searched and haven't managed to find a similar problem. The axis ...
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Young modulus in Hooke's law

This is the question: And the answer is: I understand the $2\sqrt{a^2+x^2}-2l$ part but how does Young modulus $\lambda/2l$ equal the spring constant? Shouldn't it be $\lambda \times A/2l$ where A ...
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Three-mass, two springs coupled oscillator NOT attached to walls

Int he three-mass coupled oscillator problem, we often see it stated that you have three masses, (they can be equal or not, but we'll assume they are equal here) connected by two springs and then ...
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Is the equation of motion for a spring-damper system the same whether oriented upward or downward?

So every spring-damper system I've found online has the equation of motion: $$mx''+cx'+kx=0$$ I can understand how this is derived when downwards is positive, but what about when upwards is ...
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Doesn't the work $W = \int F \, dx$ count only the work done by the outermost point of a spring?

When we use the integral to calculate the work done by the spring force, then according to my interpretation, we are only calculating the work done by the outermost point on the spring. Why don't we ...
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Why is resultant displacement in an composition of simple harmonic motion the sum of individual displacements?

I recently came across the concept of the composition in simple harmonic motion. A paragraph says that: If $$x_1 = A_1sin(\omega t)$$ $$x_2 = A_1sin(\omega t + \phi)$$ Then, the resultant ...
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How can a spring contract when magnetic field cannot do work?

When a spring is kept in a magnetic field and current is passed through it, its edges act as parallel conductors and due to the action of Lorentz force, they pull themselves together. A spring ...
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Spring mass damper system: Distance from equilibrium after applying velocity to mass

I have a spring fixed to a wall on one end and a mass object on the other end in its natural resting position. The question is how far does the spring stretch when a velocity $v_0$ is applied to it, ...
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The vibration of mechanical ondes

i want to ask about the relation highlighted in yellow in the picture the equation of motion of this system can be obtained using the Lagrange formalism, but my question is about this relation i have ...
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Gravity’s effect on a vertical spring-block simple harmonic oscillator

I just found a question in my textbook which asked how the period of the vertical oscillation will change if the spring and block system is moved to the moon, and the gravity due to acceleration is ...
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Potential energy of a spring thought experiment

Just wondering if I am using the concept of potential energy and conservation of energy correctly in the following thought experiment. Lets say we take a compressed spring into space. If we attach a ...
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Spring force under gravity

Why do I have to use law of conservation of energy to solve problems regarding calculation of extension in spring length when a box attached to the lower end of the spring is released from rest (such ...
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Potential energy of system

when a spring is connected with a block if we compress the spring the potential energy of block changes. But if we take only the block as system then no internal conservative force is acting on system ...
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161 views

How does the math of storing energy in a spring work in a moving frame?

Consider a spring with spring constant $k$ attached at one end to a wall. When an external force stretches it by distance $l$ in the positive direction the force does work $\frac{1}{2}kl^2$ and that ...
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Tension due to unequal forces on a massless spring [duplicate]

When a massless spring is pulled by 5N on both sides the tension in the spring is 5N (proved by considering COM at rest and breaking the spring into two springs of 2k each)...what if the forces ...
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Derivation of equation of motion for mechanical seismograph

Consider a simple seismograph consisting of a mass $M$ hung from a spring on a rigid framework attached to the earth, as shown in the picture. The motion of the mass is apparently described by the ...