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

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?

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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16 views

What is the maximum velocity of object with mass $m$? [closed]

So here is the problem: Two objects of mass $M$ and $m$ are on a flat horizontal table. A horizontal spring with spring constant $k$ is attached to the two objects. If the system is released from ...
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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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2answers
74 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
32 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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The spring paradox: Is there any rational transformation for the relativistic force?

A simple thought experiment crossed my mind a few years ago for which I could not as yet find a convincing answer: Assume that a mass-less spring $S_1$ with (proper) constant $k_0$ hangs from the ...
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1answer
61 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
89 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{...
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2answers
152 views

Are springs compressed by energy, or by momentum?

An object is headed towards a spring at a constant velocity, no external force will act upon it, except for any force applied by the spring itself after the collision. Let's say the spring is of ...
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1answer
43 views

Damped forced Oscillation with variable external frequency

Consider that we have the following forced vibration with an input frequency $ω(t)$ variable in time. $$m\ddot{x}+c\dot{x}+kx = F_0 \sin{(\omega(t) t)}$$ Assuming that the solution must be a ...
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44 views

Is the spring “constant” still constant if the spring is circular?

Imagine a spring with a spring "constant" $k$ which is put on a part of a circular form, say a disc (a slice of a cylinder) with a groove around it to put the spring on. If we stretch the spring it ...
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45 views

Solving a system of three masses and two springs

Let's say $m_1$ is attached to $m_3$ via a spring of constant $k_1$ and $m_3$ is attached to $m_2$ via a spring of constant $k_2$. Just to simplify the problem we can make $m_1=m_2=m_3$ and $k_1=k_2$. ...
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56 views

Do spring systems gain potential energy or stay the same?

I am trying to understand why the change in $E_{\mathrm{total}}$ of system BS is positive. Shouldn't it be the same since no energy is lost or gained? Also, can anyone explain how $\Delta U_g < \...
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5answers
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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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1answer
34 views

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 ...
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20 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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2answers
125 views

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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5answers
108 views

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, ...
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1answer
64 views

What's the maximum compression of the spring? [closed]

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{...
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1answer
26 views

What would be a correct/natural approximation for the curve of bended materials?

Would it be a cubic/quadratic Bezier curve? Or perhaps (part of an) ellipse? I am a computer science student who is working on a physics engine using realistic materials, meaning I would like for ...
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55 views

Inconsistency in spring compression under falling weight

I think this is a simple enough question but I am not able to see the consistency in two different math of the same problem. Here is the problem, One has to determine the compression of the spring. $...
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3answers
54 views

Is external force equal to restoring force [duplicate]

I have reached a confusion. We know $$F=-kx$$ in a spring. If an external mass $m$ is suspended to a spring and the spring extends by a length $x$ and the mass comes to rest, external force, $~mg = \...
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What is the significance of maximum compression in spring?

A block of mass $m$ sliding on a smooth horizontal surface with a velocity $v$ meets horizontal spring of spring constant $k$ fixed with wall. Find maximum compression of spring. Why is the word ...
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Elastomer vs metal spring

What properties should an elastomer have for it to be used as a spring? I mean: if I load a metal-coiled spring within the spring's elastic limits and then remove the load, then the metal spring ...
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4answers
127 views

Collision of block and a spring system kept at rest

A body of mass $m$ moving with velocity $v$ collides with a system of 2 blocks of each mass $m$ connected by a spring of spring constant $k$. All the three lie on the same plane (1D collision). There ...
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1answer
58 views

Why is the law of Hooke valid only for small displacements?

What changes when displacement exceeds a certain limit?
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3answers
114 views

What will be the compression of a spring if two different forces act on it? [closed]

QUESTION What will be the compression in this picture? Many problems relating to springs are when one side of the springs are fixed and the other is free to deflect. But what happens when the spring ...
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Springs with some finite mass

Let us consider a spring which is having some finite mass. By the help of some external agent the spring has been extended by some distance $x$. Will the restoring force produced in the spring still ...
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2answers
46 views

Where does the half of Potential energy go? [duplicate]

We have the formula for elastic energy stored in a spring to be 1/2*Force*extension. When we have an object on a vertical spring, then the energy gained should be 1/2*mgh.(h is extension produced) ...
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Spring problems

When 2 body of mass m and 2m attached to a spring, the system is dropped from a hieght h such that the 2m mass is at the bottom .What do you say about the extension of the spring. My sir said there ...
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1answer
40 views

Spring mass system

While solving some spring block questions one doubt came in my mind ..is it possible to calculate maximum velocity of a point between two springs of different force constant attached to a block of ...
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144 views

If I have a mass on a spring does it change it's rest length?

If, for example, I have a mass on a spring that compresses it of a length x. If I compress the spring more of a length y, when I release the spring the kinetic energy of the mass would be $\frac12 ky^...
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2answers
48 views

Spring Constant from a Non-Linear Force-Extension Graph

If you have a linear force-extension graph for say a spring then the spring constant is simply the gradient of the graph. However, how would you calculate the spring constant at a particular point on ...
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1answer
65 views

A mass is hung from the centre of an unstretched, horizontal wire. How do I work out the depression of the centre of the wire? [closed]

A wire of unstretched length $l$ is extended by a distance $10^{-3}l$ when a certain mass is hung from its bottom end. If this same wire is connected between two points that are a distance $l$ apart ...
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33 views

Acceleration and energy for a spring

The example question is: "a clock contains a pendulum arm with a mass of $3.5 \,kg$. If the spring constant of the arm is $1.0\, N/m$ and the maximum amplitude of the arm is $45$ cm, calculate the ...
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1answer
34 views

Lateral (bending) stiffness of a helical compression spring

Does a helical compression spring have uniform lateral (bending) stiffness throughout its length? Suppose I exert a force radially along a certain height of the spring, and that force rotates along ...
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2answers
46 views

Spring force potential energy and work done

Is the work done by external constant force = to potential energy stored in the spring. i.e. $Fx=\tfrac{1}{2}Kx^2$ But we know $F=kx$ but then $Fx = Kx^2$
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1answer
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Why do the units in the period of a mass-spring SHM not work out? [closed]

I am a high school physics teacher having students use the period of a mass-spring system with a known mass to determine the spring constant. We are practicing linearizing functions, so rather than ...
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1answer
72 views

Help understanding a spring-mass system where mass is not attached

This is the scenario: We have a spring resting on a surface with no mass on it. Let the $y$ position of the top of the spring be $l_0$. When we put an object with some mass on top of the spring, the ...
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2answers
94 views

The relation between the spring constant and its radius [duplicate]

I've observed that the spring constant of a spring with a smaller radius is higher than that of a spring with a larger even though they are made of the same material , their thickness and all other ...
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An energy/model based controller to minimize overshoot and response time of a mass spring system

Consider a very simple system: $$m a + k x = F \, , \tag{1}$$ where $m$ is mass, $a = \ddot{x}$ is acceleration, $k$ is the spring's elasticity, $x$ is position of the mass and $F$ is the force from ...
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Why can all solutions to the simple harmonic motion equation be written in terms of sines and cosines?

The defining property of SHM (simple harmonic motion) is that the force experienced at any value of displacement from the mean position is directly proportional to it and is directed towards the mean ...
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32 views

Vibrational Question [closed]

A friend recently asked me this question, which I am not even sure how to comprehend... Three masses are arranged at the vertices of an equilateral triangle and are connected by springs along the ...
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How to find the path of a cantilever beam's tip when it's bent?

I'm trying to analyze the harmonic motion of a hacksaw blade with one end fixed to the table. I'm trying to get an equation from Hooke's Law F = kx, but I'm not sure about how to calculate the ...
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1answer
207 views

Motivating classical wave equation PDE

I'm teaching a geometry course covering spectral problems, using eigenvalues of the Laplace operator for shape analysis ("Can you hear the shape of a drum?"). I thought I'd cover where the wave ...
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1answer
70 views

To consider or not to consider potential energy of a mass attached to a spring in oscillation? [closed]

For the above system I have the following expressions for kinetic and potential energy: $$ V = \frac{1}{2}\,k\,x^{2}+m\,g\,l\,(1-cos\,\theta)-m\,g\,x\\ T = \frac{1}{2}\,m\,\dot{x}^{2}+\frac{1}{2}\,m\,...
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2answers
36 views

What's the relation between acceleration, position and angular velocity?

I just encountered a problem involving lift and oscillations where I found the following differential equation: $$\ddot y = -\frac{ \rho gA}{m}y = -\omega^2 y$$ What's the relation between $\ddot y$, ...
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3answers
107 views

Hooke's full unapproximated law

It is known that the Hooke's law relating the restoring force of a spring to the distance of retraction from the equilibrium position, is only an approximation. That is, the equation $F=-kx$ is only ...