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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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192 views

### Are spring potential energy and internal energy the same?

From classical mechanics, the force on a spring is given by the negative gradient of the potential energy with respect to position or displacement. Can we also say $F=-\partial U / \partial x$, ...
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### Factor $1/2$ in work done by spring force [duplicate]

My book says Spring Force = $-kx$ where k is spring constant and x is displacement from equilibrium position. Then it says work done by spring force is $-kx^2/2$. But I know Work Done = Force $×$ ...
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### Why does different part of a spring having mass expand proportional to their distance while the spring has some mass hanged in the bottom?

Why do different parts of a massive spring expand proportional to their distance while the spring has some mass hung on the bottom which is comparably very less than the mass of the spring? If we take ...
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### What happens if we apply different forces in opposite directions on both ends of a spring?

I'm confused about this... If I have a spring and I apply force F1 towards the right on the right end and F2 towards the left on the left end, what will happen? There are no blocks, just a light ...
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### Motion along length of a spring [closed]

What's relation between velocity of each part of a massive spring undergoing Simple Harmonic Motion.
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### Finding the frictional coefficient

This is going to be very long question. A 1 kg block situated on a rough incline is connected to a spring constant 100Nm as shown in fig. The block is released from rest with the spring in the ...
75 views

### Mass attached to spring - elastic potential energy

I am looking at a problem in which a mass $m$ is attached to the midpoint of a light elastic spring of natural length $2l$ and then released. The two ends of the spring, $P$ and $Q$, are at the same ...
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### Rod connected to springs. Can this oscillate if the rod has no mass?

My thoughts led me to change the question's title. Here's what I've tried in solving the problem and led me to ask the question in the title. We have the following diagram where the beam has no mass ...
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### 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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### Why does $g$ show up in the frequency of this oscillation?

The problem diagram is given in the picture below: Having looked at this question Why does the acceleration $g$ due to gravity not affect the period of a vertically mounted spring? something troubles ...
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### 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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### Question on capacitor and springs

The question is as follows: One of the plates of a charged parallel plate capacitor is connected to a non conducting spring of stiffness K while the other plate is fixed. The other end of the ...
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### Potential gravitational energy versus potential spring energy [duplicate]

My textbook points out the following predicament, and I do not know the answer, despite a lot of thinking: A spring is hanging of a ceiling and a mass is attached. As a result the spring descends to ...
198 views

### Spring-Block system [closed]

Here is a multiple spring and a block system. I need to find the maximum elongation of the spring. I tried to take $mg-(k_1+k_2)x=0$, and find $x$ from there. The answer is coming wrong. It should ...
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### why work done by spring is negative eventhough KE increases? [closed]

Suppose a block is attached to a compressed spring, it is released so moves under spring force of magnitude $kx$, let it moves from $-a$ (negative since displacement is negative for a compressed ...
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### Can an accelerated spring in static equilibrium in its rest frame have different forces at each end?

Let's say I have two identical masses connected by a spring: If F1 = F2 = F then the forces on either end of the spring are also F when the whole arrangement reaches static equilibrium. Now if F2 >...
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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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### meaning of “sufficiently small” in approximations to behaviour of a Harmonic Oscillator

So in my classical mechanics book it states: "For any sufficiently small displacement, any system of this kind behaves like a harmonic oscillator." When discussing SHO. So I am curious what is ...
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### Spring force that grows not proportional to displacement

Do springs that change their proportionality 'constant' as a function of their winding number per length? I want a spring that obeys $F(x)=kx^2$ instead of $F(x)=kx$. To my intuition if I decrease ...
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### Why do materials obey Hooke's law? [duplicate]

Why do materials extend proportionally to the force exerted on them (Hooke's law)? I thought that when materials are compressed or extended under force, their atoms become closer or further apart; ...
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### Spring and mass system

Suppose I have a two masses attached with a spring on ei either side and one of the masses is kept in contact to the wall like in this diagram with friction neglected everywhere. Now when the wall ...
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### Phase shift of damped mass on spring with moving source [closed]

I have a setup with a moving (upwards, downwards) board on which there is a spring mounted on the edge. The spring has a mass $m$ on its end and is damped in some sort of liquid. What methods could I ...
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### 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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### 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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### 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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### 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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### 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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### 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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### 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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### 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 ...
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 ...