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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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3answers
38 views

How would gravity affect a spring?

I'm currently in the process of writing a novel and I would like to add realism, I'm writing in a concept that involves springs stretching and tightening due to a constant fluctuating gravity. I'd ...
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6 views

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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17 views

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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13 views

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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0answers
25 views

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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0answers
22 views

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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1answer
28 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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2answers
57 views

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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43 views

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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25 views

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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2answers
41 views

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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1answer
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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2answers
99 views

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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1answer
77 views

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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0answers
16 views

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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1answer
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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1answer
32 views

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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5answers
69 views

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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2answers
41 views

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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2answers
39 views

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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1answer
104 views

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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4answers
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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0answers
20 views

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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4answers
62 views

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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1answer
42 views

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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1answer
36 views

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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2answers
15 views

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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2answers
47 views

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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1answer
23 views

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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8answers
327 views

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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1answer
34 views

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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3answers
107 views

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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0answers
26 views

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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1answer
35 views

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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2answers
43 views

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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1answer
30 views

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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1answer
66 views

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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1answer
93 views

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 ...
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0answers
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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1answer
106 views

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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2answers
64 views

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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1answer
44 views

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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3answers
146 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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2answers
55 views

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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2answers
46 views

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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1answer
63 views

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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2answers
85 views

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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1answer
34 views

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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1answer
64 views

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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3answers
101 views

Deriving SHM equation

i have derived SHM equation till here $$\sin\left( \frac{\sqrt k}{\sqrt m}\cdot t \right)$$ Now all the solutions (youtube and textbook) I'm looking are just stating intuitively $\frac{k}{m} = \text{...