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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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148 views

How to estimate the kinetic energy loss of a rigid cube after it colliding with a heavy spring at rest?

In an environment without gravity, there is an unfixed, motionless, uniform spring with non-negligible mass m, length L, and stiffness k suspending and a rigid cube with mass M moving with velocity v ...
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55 views

Terms in the stress-energy tensor of a pair of masses coupled by a Hooke oscillator

Think of the simplest system that can be constructed with masses and non-gravitational forces that keep the system bounded: Two masses bounded by a hook spring: $$ T^{\alpha\beta}({\bf x},t) = \...
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Can Hooke's law be derived?

Can we derive Hooke's law from the theory of elasticity? I know it is not a fundamental law and therefore can be derived from more basic considerations.
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Why is the potential energy of spring negative while it's positive for a dipole?

Potential Energy is the work done against the conservative force As the definition suggests , for a spring $$ U= -\int F \cdot \mathrm{d}x \,.$$ But for a dipole placed in an electric field $$ U= \...
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126 views

Is there a conservative force acting on a spring that oscillates in SHM?

If I were to stretch a spring, then I am doing positive work in order to increase the potential energy stored in the spring. Since the equation for the potential energy in this case is given by $$U(x)=...
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189 views

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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218 views

Spring oscillator and time dilatation

Consider the mass M suspended on the (ideal) spring with stiffness D, whose suspension point is in rest in inertial frame K'. I understand how the principle of relativity requires that this harmonic ...
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95 views

Formula for spring constant $k$ [duplicate]

Is there a formula for the spring constant $k$ which satisfies the equation $$F=k\Delta \ell~?$$ A similar question was asked but was answered by transposition of this equation... I'm hoping for an ...
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71 views

Spring non-linear behavior for small forces

While writing a report about a classical spring experiment I noticed that, if small forces were applied to our spring, this would stretch much less than expected. Searching on the internet I've kinda ...
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3answers
157 views

What is the motion of a mass 'circling' a spring?

Consider a situation whereby there is a mass connected to a spring which is initially unstretched and the system lies on a horizontal plane. An impulse is then applied to the mass giving it an initial ...
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514 views

Calculating angular frequency for solid disk/spring system

I have a solid disk with radius $R$, mass $M$, and moment of inertia $I = \frac{1}{2}MR^2$ which can freely rotate about a fixed mass in its center. A spring with spring constant $k$ is attached to ...
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Physics of harmfull bungee jumping and hanging

According to the Wikipedia section on long drop hanging, the risk of decapitation increases with length of the rope. By analogy I expect that a long enough bungee rope can tear jumper's leg off. I ...
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How are these equations for energy compatible?

I have one equation that says the energy in an oscillating spring with a mass $$E = 2\pi^2ν^2A^2M.$$ I have another equation that says the energy is the system is quantized $$E = nhν.$$ How are ...
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170 views

Spring constant, but intrinsic to material, not rest length

If you have two metal springs that are coiled in the same way, but one is twice the length of the other, the spring constant will be half as large for the longer one. That makes sense of course. What'...
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321 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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215 views

How do I derive this equation for total energy of an oscillating spring?

My textbook reads: One more thing: there’s a nice formula for the energy stored in an oscillating spring. It is proportional to the square of the amplitude and the square of the frequency: $$E =...
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577 views

Doubt on an answer to a mechanics problem [closed]

Question: A block of Mass m is connected to another block of mass M by a massless spring of spring constant k . The blockes are kept on a smooth horizontal plane and are at rest. The spring is ...
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1answer
44 views

Investigating 2D Oscillating motion

I once did an experiment into Simple Harmonic motion of a mass oscillating in 1D on a spring. I wanted to extend this into two dimensions. I can see how varying the starting offset and also ratio of ...
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1answer
113 views

Puzzle: Oscillating Rope and a Spring!

Here's a puzzle one of my friends in physics class gave me - Consider a uniform rope suspended from the ceiling with the help of a spring. At what distance from the lower end (fraction of total ...
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201 views

How do you solve a spring problem involving a collision?

I was just learning about collision in class and I did some research online about it. I found a question which involved a collision and a spring. I know how to do spring problems and how to do ...
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1answer
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When does the mass leave the spring-connected pan? [closed]

Upper mass: $M$, lower mass: $m$, normal force between them: $N$. When the masses are in contact, $$\frac{N-Mg}M =\frac{kx-N-mg}m$$ $$ N=\frac{Mkx}{m+M}$$ At the moment they lose contact, $N=0$. $$\...
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313 views

Potential energy of a mass-spring system

I'm having trouble with determining the potential energy of the mass-spring system depicted below. We assume that the extensions of all 3 springs are zero when $x_1=x_2=0$. The potential energy that I ...
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172 views

Hooke's Law unclear understanding

Here we have Hooke's Law (not in vector form), $$F=kx,$$ with $k$ being the spring constant and $x$ being the amount displaced from equilibrium (wiki). My question deals with the fact that it seems ...
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55 views

Which Spring-Weight Setup Will Impart More Energy?

Judging by the questions being asked here, this one is probably absurdly easy for you guys to answer. Bear in mind I've never taken an actual physics course. Crude drawing of what's taking place: ...
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1answer
118 views

Spring potential energy transformation [duplicate]

Suppose I take a metal spring and compress it, and in its compressed state I dip it in a strong acid solution. When the acid reacts with the metal it reacts to form a salt of the metal. Where does the ...
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Potential energy stored by an elastic circular loop on deformation to an ellipse

This question is related to an origami circular loop that I built. This structure is elastic and I intend to find the elastic potential energy stored by it when I deform it to an ellipse. My actual ...
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1answer
75 views

Work, energy and power of massive spring [duplicate]

The question is like if the spring of unstretched length $L$ has mass $M$ with one end fixed to the rigid support and it is made up of uniform wire then what kinetic energy is possessed if the free ...
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Find spring stiffness of a frame structure

I would like to calculate the spring constant of a frame structure. I thought that I could do it like this: I apply a point force on the structure: Then I calculate the displacement at that same ...
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1answer
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Spring Potential energy conversion

Picture this... I take an elastic band, similar to one that people use to work out. Much larger than a rubber band. My friend has lost a bet and I decide that his punishment is for me to put the band ...
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1answer
411 views

Position when potential energy and kinetic energy of a spring are equal [closed]

I've been given that there is a spring holding a $.25kg$ mass where $k=10N/m$ and is held at $40cm$ and then let go. I've found that the max velocity is $2.53m/s$ and that when the spring is at $20cm$ ...
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109 views

Two confusing spring problems solved in different ways

I've read in the chat room and in the questions regarding spring and it raised a problem in my mind . Here are two cases which i adopted from other users . Case-1 After compressing the ball , ...
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1answer
103 views

Understanding the Terms in Coupled Springs Differential Equation

I am teaching differential equations and I got myself totally confused about the physics of a problem. Consider a coupled spring system in series: there is a mass $m_1$ on a horizontal track which is ...
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158 views

Is a mono-molecular spring possible?

I have seen and read a lot of springs being used in the macroscopic world, and I also know that things can behave differently on a much smaller scale. My question is could a single piece of molecules ...
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136 views

Experiments with slinky [duplicate]

Can someone explain this results? https://www.youtube.com/watch?v=eCMmmEEyOO0 If I grab one of the ends of the slinky, then the slinky will extend because of the gravity. Assume that the other end ...
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Spaceships connecting with spring (A deeply different version of Bell's spaceship paradox)

A very different version of Bell's spaceship paradox hit upon my mind for which I cannot find a convincing solution: Two stationary spaceships are connected with a spring as shown in the figure below....
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1answer
126 views

Difference between force and energy equilibrium

I want to find out how far a spring stretches. If I use the force equilibrium, I get $kx=mg \to x=mg/k$. If I use the conservation of energy, I get $0.5kx^2=mgx \to x=2mg/k$. How can I choose ...
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How do you get displacement at given moment where acceleration is dependent on the displacement?

I don't know how to get the time at which the train stops, because acceleration is dependent on the displacement and you can not just simply double integrate the basic equation, all I can do is get to ...
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96 views

Why don't we use $F=−kx$ while finding a spring constant?

A block of mass $m$ is attached to a vertical spring in equilibrium, and is stretched a distance $d$. As Hook's law is $F=-kd$ If I take $y$-axis to be positive upward, the net force in the $y$ ...
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1answer
111 views

Spring-mass problem [duplicate]

Question: A spring-mass system hangs vertically from a fixed support. The natural length of the spring is l. The block is displaced from the equilibrium position and constrained to move horizontally. ...
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253 views

Energy in simple harmonic motion ─ where is the kinetic energy stored, and where is the potential energy?

When a mass connected to a spring is in simple harmonic motion and somewhere between the mean and extreme positions the mass is cut from spring. Then instantaneously after cutting the mass will only ...
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Why can the deformation of a spring at a given point of the spring be considered directly proportional to the relative distance of the point?

Hello i have been studying differential equations and in one example my professor tries to deduce the partial differential equation that describes the longitudinal displacement on a elastic, ...
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Why does distance vs period graph look linear for a pendulum?

Question/problem In my introductory physics class in college, we were supposed to find a relationship between the length of a pendulum and the period. Period=$2\pi*\sqrt{l/g}$ So thus i believed ...
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Concept of work done by spring

While deriving work done by spring force, our main problem is we cannot take out ${\bf F}$ vector out of the integral because it is not constant. Hence we adopt the following method- Considering a ...
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132 views

How Is Simple Harmonic motion possible here?

Suppose the object just touches two spring(not attached) and then is displaced towards left by some distance and released then I have seen that this mass will undergo simple harmonic motion on both ...
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Conservation of mechanical energy on spring [closed]

Suppose the mass moves from compressed position to stretched position as shown in the figure. Then by applying mechanical energy conservation at stretched position what is the cause for the bulid up ...
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2answers
322 views

In this question of elastic potential energy, why doesn’t the answer of compression come negative? [closed]

A smooth curved track terminates in a smooth horizontal part. A spring of spring constant $400N/m$ is attached at one end of a wedge fixed rigidly with the horizontal part. A $40g$ mass is released ...
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941 views

Potential energy of vertical spring

I have an oscillating vertical spring with a mass attached. If I set the resting position of the mass as $x=0$ as the spring oscillates, I will have a graph like this: If I want to get the potential ...
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AP physics 1 momentum and energy problem part 2 energy lost

The first part, which I was able to solve was A bullet of mass 7 g moving with an initial speed 200 m/s is fired into and passes through a block of mass 9 kg, as shown in the figure. The block, ...
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476 views

I've been told that I can calculate how high some one is jumping on a trampoline by timing 10 bounces

I am attending a school (in Oakland CA), taking trampoline classes, none of the trainers are aware of the equation used for determining height jumped. I would guess this is a simple question for this ...
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In spring block system, how $∆K = - ∆V$?

According to law of conservation of mechanical energy, $\Delta K + \Delta V = 0$ or $\Delta K = -\Delta V$ but when in spring block system $\Delta K = 0$, and at both initial and final positions $K ...