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 any proof that $F=-kx$?

How do you proof that $F = - kx$? And why is there (-) on the formula(?)
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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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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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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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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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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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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, $k$ ...
245 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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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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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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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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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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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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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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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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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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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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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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Newtons laws of motion. Tension force

What is the difference between tension and the force that we apply externally. Also when we apply force externally let's say on moleculeA ( connected to other molecules through springs) then by newton ...
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Can I discover the intial length/dimensions of spring from $mx''+cx'+kx=0$? [closed]

Can I discover the intial length/dimensions of spring from $mx''+cx'+kx=0$? This (by solving with e.g. RK4) allows me to simulate the motion of the object tied to the spring or the "spring head". ...
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What's the “cause” of damping coeff. in springs?

What's the "cause" of damping coeff. in springs? Air resistance, friction?
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Underdetermined Problem with “Spring Launchers”?

Consider the following preliminary problem. A box of mass $m$ is attached to a box of mass $M$ by a compressed spring, and both are moving at velocity $v_{0}$. The compressed spring has potential ...
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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 ...
54 views

Problem on springs [closed]

(ans: D) I have tried the problem by finding relation between extensions of the springs which comes out to be F/3k for the upper and lower spring and 2F/3k for the middle two. And then i get stuck as ...
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How many degrees of freedom does a spring pendulum have? [closed]

I've been looking at a spring pendulum system, but I'm not sure how many degrees of freedom it has.
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Possible mistake in the solutions? [closed]

This is from Kleppner's introduction to mechanics and I've been having trouble making sense of the solution in the solution manual for quite a while and I've concluded that its wrong but I need some ...
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Spring constant of tuning fork

I was playing with a tuning fork and got to wondering how to find it's spring constant (assuming damped oscillation). I can find plenty of resources about materials for springs, but not a whole lot ...
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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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Compress a Spring without Moving It? [closed]

So after putting in some research effort into the math, it seems like this should be possible under the right criteria. Say I have a spring with a mass of 1500kg and a spring constant of 100N/cm and ...
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Simple harmonic motion on a vertical spring

Say we have a spring attached vertically to a wall. Now, let's assume that we attach a mass to the spring, but we do not let the spring extend just yet (we could hold the mass on our palm for example)....
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Mechanics of a particle problem (potential energy vs. work approach)

I'm trying to reconcile two methods of approaching a problem, see picture below: Disregarding the angle of the surface and any friction, calculate the velocity $v$ of a particle pulled back a ...
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Understanding Hooke's law

This is taken from "Physics a general course, volume I" by I.V.Savelyev. How is it that "Any part of the spring acts on another part..."? I understand that at each "point" we can assign $F_{el}$, but ...
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Damped harmonic oscillator's maximum displacement [closed]

I want to know the maximum displacement $x_0$ of a mass $m$ on a spring with spring constant $k$, in the case that the system is damped with damping constant $c$, and where the initial velocity $v_0$ (...
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Oscillating spring, speed close to the equilibrium: How is this answer not 1.5? [closed]

I have this question with the answer listed as $2.0\,\mathrm{m/s}$. "A $1.25\,\mathrm{kg}$ mass on a spring with a constant of $12.0\,\mathrm{N/m}$ is oscillating back and forth. Its maximum ...
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Why the work done by system not stored as potential energy?

Now choose a spring mass system now work done by external agent in slowly moving from equilibrium position is stored as potential energy but where is work done by spring force gone.For genralization ...
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Does using a trampoline conserve energy?

In a thought experiment, we have a trampoline on the ground (well it's fancier than a spring) and a ball which is made to undergo free-fall from a height $h$. In a non ideal scenario, will the ball ...
22 views

Extension as independent variable?

For a force extension graph of a spring to have extension on the $x$ axis means that you change the extension of the spring, and measure the force needed to do that? Why do these exist doesn’t it ...
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Effect on the weight of a bird in a closed cage with a spring attached to it

I have read the question in which the difference in the weight of a bird in a closed and a open system is described. But what happens if there is a closed cage with wires and also a spring attached ...
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Couldn't you use a spring to increase energy?

When I was a kid I had a BB gun and when it was cocked it would compress a spring, then when you pulled the trigger, the spring would be released and fire a BB out at high velocity. I was thinking, ...
I tried to use the conservation of energy to solve this problem, here's what I tried to do: $\require{enclose}$ \begin{align} \enclose{downdiagonalstrike} {\frac{1}{2}} m v^{2} &= \enclose{...