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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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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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Effect on the weight of a bird in a closed cage with a spring attached to it

I have read the question which where the difference in the weight of the bird in a closed and a open system is described. But what happens if there is closed cage but there is also a spring attached ...
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Spring of mass m attached to a block of mass M [on hold]

What will be the time period of the object in the above case? I saw this link on wikipedia. I understood the derivation but they haven't given why they took u=vy/l. Why will there be a linear ...
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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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System of spring blocks [closed]

Two identical blocks, each of mass 'm', are connected through a massless spring of spring constant 'k' . What will be the initial compression of spring so that on releasing the spring, lower block is ...
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I don't know how to think about this question. Can someone help me? [closed]

I have been having problem with a question from IB past paper. I can't imagine of how this system is working (especially the relation between the spring and the sine wave). Can someone explain what is ...
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1answer
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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
25 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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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
46 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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2answers
54 views

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

What changes when displacement exceeds a certain limit?
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3answers
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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
44 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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57 views

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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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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3answers
135 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
42 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
63 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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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
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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
45 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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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
66 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
59 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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4answers
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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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31 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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0answers
23 views

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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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
66 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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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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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 ...
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Several spring coupled: can such a movement happen or is it only theoretical?

We have 6 particles. We couple them 2 by 2 with a spring of strength $K$ (as in the picture below). We then have 3 harmonic oscillators. Then we couple each oscillator by a spring of strength $S\ll K$ ...
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Two different values for two different methods of calculating spring constant [closed]

I'm given the question: "An oscillator consists of a block of mass .5 kg connected to a spring. When set into oscillation with amplitude .35 m, the oscillator repeats its motion every .5 seconds. Find ...
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Derivation of the work-energy theorem

We state the following version of work-energy theorem : $$ K_2-K_1=Fd=W $$ Where acceleration is assumed to be constant, so is the force $F$. Then the physicists proceed by writing $K_2-K_1=F[x(t_2)...
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1answer
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Are the so called force balance drawings for motion systems “counterintuitive”?

Lets take the standard mass-spring-damper system with an external force. Please also see the image. As we all know making mistakes with signs in these questions is a common error. There is even an ...
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1answer
47 views

Finding the Amplitude of a Spring Oscillation given initial Position and Velocity

I'm trying to create a physics simulation, and I need to be able to determine the amplitude of the oscillation of a mass-and-spring system given any position that the mass might be in and the velocity ...
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1answer
37 views

Oscillations and Spring balances problem

Problem Statement: A spring balance has a scale that reads from 0 to 50 kg. The length of the scale is 20 cm. A body suspended from this balance, when displaced and released oscillates with a ...
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2answers
122 views

Harmonic motion with friction [closed]

Consider an undamped mass and spring system with friction. The friction is not proportional to the velocity of the mass. If we solve the corresponding differential equation,the spring will oscillate ...
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2answers
48 views

Will the motion in both systems be same?

In my book, the discussion in SHM is mainly about a mass hanging vertically from a spring. But there are some exercises which contain questions which involves a mass attached to a spring and the whole ...
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113 views

Mass hanging from spring in free fall

Q: A mass $m$ hangs from a massless spring connected to the roof of a box of mass $M$. When the box is held stationary, the mass-spring system oscillates vertically with angular frequency $\omega$. If ...
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1answer
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Explanation of a spring using “Artistotle's law of motion”, $\vec{F}=m\vec{v}$

So I was watching Susskind's Classical Mechanics lectures and I didn't understand something in the second lecture. He was telling about Aristotle's Law of motion which is $$\vec F = m\vec v.$$ He ...
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Why isn't the work done on the spring encapsulating this idea?

We know that work done ON the spring is given by the integral $$\int kx \, dx =\frac12kx^2$$ if we start from $x=0$ .But what if I apply more force on the spring.Wouldn't I be doing more work on it? ...
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1answer
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Simple harmonic question [closed]

consider a spring with a block of mass $m$ and spring constant $k$ that is inside a lift. the cable breaks and the lift falls freely. Show that the block now executes a simple harmonic motion of ...
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1answer
195 views

Spring combination in series and parallel

I know the equivalent formula for spring constant for springs connected in parallel and series. But how do I identify whether those are in series or parallel?
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1answer
48 views

Tension in Spring

When spring is within elastic limit the tension in Spring is equal in magnitude to force applied for deforming it but when it has reached its elastic limit and more force is applied so that it's ...