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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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what exactly happens when a spring is pulled from one end?

Here's the complete question: A spring AC kept on a smooth surface. Point B is the mid point of the spring. Now end C is pulled with constant acceleration a. Then length of part AB will be: Equal to ...
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5answers
10k views

Why does my bumper scrape when driving fast over a bump but not slow?

When driving my car over a bump or a quick change in gradient (from flat to uphill or downhill to flat), if I don't drive slowly and the bump/change in gradient is large enough, I'll end up with my ...
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0answers
38 views

Calculating spring constant [on hold]

We have a vertical spring positioned on the moon. When compressed by $17m$, this spring sends $1500kg$ packages into escape velocity $(2400m/s)$, and then back to Earth. What is the spring constant? ...
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Simple harmonic motion help [on hold]

A spring (k=180 N/m) is suspended vertically from a ceiling: a) How much will the spring stretch if a 2.2 kg mass is suspended from it with no movement? b) Assuming that the mass is connected to the ...
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1answer
26 views

Conservation of energy on a spring. When are forces positive and negative?

I'm doing physics problems on my own and I cannot figure out when Potential Energies (U) are supposed to be positive and when negative in a Conservation of Energies problem. Take for example this ...
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spring constant of a spring loaded cannon [on hold]

If you wanted to build a spring launched cannon that will shoot you over a building that is $35\ \rm m$ high and $30\ \rm m$ wide, and the cannon is being shot at $60^\circ$. If the cannon can be no ...
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0answers
29 views

Potential energy of and forces within a massive spring

So, I've been doing problems related to calculating the time period of SHM for a spring mass system where the mass is M, and the spring has a finite mass m. The standard method of dealing with this ...
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1answer
32 views

Reason for $F_s = kx$ in MIT video lecture #1 by Instructor J.Kim Vandiver on engineering dynamics

In the Video Lecture #1, Instructor J. Kim Vandiver says at 21:26: ".. And so third, you deduce the signs basically from the direction of the arrows. First we need what's called your constitutive ...
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Springs and iterative method [closed]

A block of mass 0.5 kg is placed at rest on a relaxed vertical spring-like device of length 0.1 m which exerts an upward force of $F_{y}=−2\times10^5 \times s^3$, where $s$ is the stretch. With a time ...
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0answers
21 views

How long until the body collides with the rod? [closed]

A body of mass $m$ is connected to a spring of constant $k$. The body is rotating in a horizontal circle of radius $l_0$. ( $l_0$ is lot longer than spring's equilibrium length). A vertical rod of ...
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2answers
32 views

Do we need a small displacement to create a oscillatory motion on the spring?

Do we need a small displacement to create a oscillatory motion on the spring with a mass attached to it? Whats the limit of the displacement that we can give initally to create a oscillatory motion? ...
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3answers
46 views

Problem in harmonic motion

In the harmonic chapter of my book it is written that $\omega^{2}=\frac{k}{m}$ where $\omega$ is frequency and $k$ is the spring constant. But how did they get to this formula? What is its derivation? ...
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3answers
68 views

Does a spring's $k$ affect the acceleration of a coupled mass?

Suppose I have a spring of spring constant $k$ attached to a mass $m$, with a constant force $F$ applied to the free end of the spring thus accelerating the mass. What happens to the acceleration of ...
2
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3answers
48 views

Contradiction on Oscillating Mass [closed]

A bead is oscillating in horizontal direction as shown in the figure, our aim is to find the angular frequency of the oscillating bead First, we can write the potential as: $$V(l)=\frac{1}{2}k\cdot l^...
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44 views

A mass hung from a vertical spring

I have made the following problem, attached in the image with the resolution I thought, and I would like to know if it is correct. More than a problem is a general case. I calculated the kinetic ...
3
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1answer
68 views

Effective spring constant of springs arranged in a helix

Consider a helix that is non-rigid in which there are several evenly spaced springs that are parallel to the helical axis. The springs connect subsequent turns in the helix and all have the same ...
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0answers
27 views

Spring assisted jump [duplicate]

If you wanted to jump as high as you can now, but without making any effort, you could use a compressed spring to provide the push you need to jump. If you had a spring with a low spring constant, how ...
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2answers
30 views

Why is the entirity of string tension $T$ included in the potential energy of a string wave?

When calculating the elastic potential energy of a string segment inside a transversal string-wave, it is usually reasoned that the string tension $T$ causes the string segment to stretch as it ...
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2answers
52 views

Hooke's Law sign confusion

Consider a spring with potential energy $U=\frac{1}{2} k x^2$, where $x$ is displacement from equilibrium. Hooke's law says the force required to move the spring is $F=kx$. From classical mechanics, ...
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3answers
80 views

Does spring constant of the spring change with the length of the spring?

If 10 meter long spring has a spring constant $k= 5 N/meter$, so does 1000 meter long spring have $k=500 N/meter$? Please explain!
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1answer
34 views

Forced oscillating spring-mass system terms

I have an equation, and I want to know the physical significance of each of the following terms: $E(t) = E(0) + \int_0^t g(s)u'(s)ds -\gamma\int_0^t[u'(s)]^2ds$ where $g = mu'' + \gamma u' + ku$. I ...
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1answer
41 views

Hooke's Law and Overstretched Springs

Recently been working with Hooke's Law at university. My experience of real springs tells me that stretching to a certain point causes the spring to lose "springiness". (Not sure if "elasticity" is ...
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0answers
34 views

Dynamics of string coupled pendulum

I have read that the equations of motion for a string coupled pendulum, as in this image: has equations of motion identical to a system of 2 pendula coupled by a spring: The dynamics of the spring ...
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1answer
46 views

How does Newton's third law work in springs?

So in high school I thought 'if Newton's third law works, why do springs ever move?' In other words, if I pull on a spring, that means a force of the same magnitude is being exerted in the opposite ...
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2answers
63 views

Why does an object in simple harmonic motion have kinetic energy at its equilibrium point? [closed]

While an object is undergoing simple harmonic motion, its kinetic energy tends to vary with its position. This kinetic energy is highest when it's at the point where the forces on it are at ...
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2answers
42 views

Spring strain vs fractional extension

How do I show that the strain tensor $$\epsilon_{ij}=\partial_i u_j + \partial_j u_i$$ in the case of a one-dimensional spring is reduced to $$\epsilon= \frac{x-L}{L},$$ where L is the initial ...
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2answers
40 views

Does the resonance frequency of a cantilever beam depend on whether it is bending in-plane?

What is the in-plane resonance frequency equation for a single-beam cantilever of rectangular cross-section that is fixed on one end and has a mass M attached to the other end? Below are the only ...
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1answer
47 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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1answer
70 views

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 $×$ ...
3
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3answers
84 views

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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2answers
61 views

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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1answer
37 views

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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1answer
62 views

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 ...
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1answer
46 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 ...
0
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1answer
48 views

Spring Constant of Two-Sided Fixed Beam [closed]

Let's suppose I have a two-sided fixed beam: ...and I want to find the equivalent spring constant... can I do the following: I know that the maximum deflection (at the center is): $$\delta =\frac{...
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2answers
69 views

Why is the restoring force not zero at the equilibrium position of simple harmonic motion?

The restoring force is applied in order to take the body it's equilibrium. Then in a SHM why in the mean position restoring force maximum rather than being zero as it has reached equilibrium. (After ...
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2answers
68 views

Centripetal Force on Springs

Please could someone provide an explanation for this. I thought that increased velocity would cause greater centripetal force (which, I think, acts towards the centre of curvature) so would the ...
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0answers
27 views

Spring constant low dependence from temperature

I am working on a low cost interferometer in order to detect tides effects. I intend to observe fringes changes while changes in gravitacional force causes displacement on a spring wich has a mass ...
2
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2answers
69 views

Heisenberg's Uncertainty Principle for 2 bodies connected by a spring

Take two identical particles, measure there mass and let them spring apart. Now the two particles will move in opposite direction. If I calculate accurately position of first particle and velocity of ...
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2answers
83 views

Tension of the rope, error in the book's solution? [closed]

I'm stuck on getting the solutions the professor gave us for this problem. First of all the figure: He asks us for the maximum tension $T$ of the rope between $m_!$ and $m_2$. His solution: $$T = ...
1
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2answers
136 views

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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1answer
54 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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1answer
47 views

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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1answer
103 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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0answers
15 views

How to calculate force/pressure to stop flow through a tube

I have a fluid of known volume (V) and head (h) that is causing a flow through a silicone tube. How can I calculate the pressure needed to stop the flow? and How do I calculate the force needed to ...
2
votes
1answer
82 views

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 ...
2
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0answers
41 views

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 ...
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1answer
63 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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3answers
91 views

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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2answers
88 views

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 >...