An object such as a metal coil or air-filled tube which provides a force opposing the direction of deformation.

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4
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1answer
172 views

Newton's Third Law As Discussed in Den Hartog's Mechanics

A question, but some preliminaries in order to avoid answers involving concepts not yet introduced in the text I'm reading--Den Hartog's Mechanics. Near the very beginning of his book, Den Hartog ...
3
votes
2answers
133 views

What is the minimum force required to move this block

Please don't report. It's not a homework question. Yesterday on my physics test there was this question. there is a block of mass $m$ connected to a spring as shown in the figure. the spring constant ...
0
votes
2answers
49 views

Force applied by a spring stretched to a different direction

This may be a bit basic but I am unsure of the answer. Assume the following simple setup: a spring with a spring constant k and of length L, connected to mass m. What is the force applied by the ...
0
votes
1answer
129 views

Two mass spring system

The equations of motion of the spring mass system with, m = 1 $ \ddot{y_1} = -k_1y_1 + k_1(y_2-y_1)$ $ \ddot{y_2} = -k(y_2-y_1) - ky_2$ My question is with the second term in the first equation. ...
3
votes
1answer
71 views

Motion of $n$ bodies connected with springs

Let's consider $n$ cuboids moving without friction, each of mass $m_i$. Each wo neighboring cuboids are connected with a spring of the coefficient $k$. ...
1
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0answers
28 views

Why do very small balls attached to a tiny spring propel themselves in hardly moving fluids? [duplicate]

I recall watching a youtube video about a ball with a spring on the idea propelling themselves through stable fluids without any assistance, even if we make sure the spring isn't moving in the ...
1
vote
1answer
124 views

two object connected by a spring : momentum/energy topic [closed]

Here is my question below: Question Two objects A and B, connected by a light elastic spring with elastic constant 5.0 N/m, are initially at rest. The mass A is 2.0 kg and the mass B is 1.0 kg. ...
1
vote
1answer
93 views

mass attached to spring rotates in a horizontal circle [closed]

So here is the question I have: A mass of 2kg rotates at 1m/s in a horizontal circle on a table at the end of a spring with an elastic constant of 50N/m. If the original length of the spring is 2 ...
-1
votes
1answer
48 views

Why do circularly connected springs have a mode with zero frequency?

I saw that problem with spring connected circularly and found that for one of the normal mode frequency is zero, and could not explain why.
2
votes
1answer
53 views

Changing the length of a spring [closed]

Imagine we have a spring that is hanging from the roof with $k = 200$ and a stone with $ W=10N $ is pulling it down. Then due to $$ F=kx $$ we have $x=.05m=5cm$ Now we halve the length of the spring. ...
0
votes
2answers
146 views

Finding equation of motion for a two mass one spring system

I'm trying to find the equation of motion for the system below. As you see, there is a trailer connected to a car with a spring. There are a "b.v" force where b representing a coefficient of ...
1
vote
1answer
78 views

How does K (spring constant ) changes? [duplicate]

How the spring constant changes when a spring is cut into equl or rational halves? What is the relation with the original K?
-1
votes
1answer
51 views

Wave oscillation [closed]

A 2 kg block is attached to a spring for which $k=200N/m$ . It is held at an extension of 5 cm and then released at t=0 , Find a, the displacement as a function of time and b, the velocity when ...
0
votes
2answers
53 views

Work done by a spring

I've done enough research before asking this question. The work done by a spring is defined as $$W_\mathrm{spring}=\left|\frac{1}{2}kx^2\right|$$ Where $ k$ is the spring constant and $x$ is the ...
11
votes
1answer
2k views

Why don't they use springs as an energy source for cell phones?

I know they used springs for clocks way back in the day and now it's all lithium ion batteries. For reference, consider the Iphone that has a battery with a capacity of 5 Watt hours (18,000 joules). ...
0
votes
1answer
54 views

Decomposition of Spring

Can a spring respectively its stiffness in a 2D-system be decomposed into its x- and y- components (stiffnesses)? Assuming a spring located in an 2D coordinate system with positions p(x,y), length l ...
0
votes
0answers
31 views

The force of a spring

I am new in continuum mechanics and I want to prove the formula which gives the force given by a spring : $$F_{max}= \frac{Ed^4(L-nd)}{16(1+\nu)(D-d)^3 n}$$ where : $E$ – Young's modulus $d$ – ...
3
votes
1answer
176 views

Conservation of linear momentum and velocity of a system (damper and spring in a series)

This example is from a book on dynamics. Let us consider the system above formed by two blocks (each of mass $m$) connected by a linear damper and spring in a series. They slide without friction on ...
0
votes
1answer
53 views

Spring Potential Energy [closed]

A spring whose spring constant is $k$, having an initial "free" length is $l$, is being pressed by $2$ hoops on a metal(the parabola) on his both sides. (see image below) I want to calculate the ...
0
votes
1answer
178 views

Spring Constant of a Slingshot

So we have a elastic slingshot which slides a block across the floor until coming to a stop but we've been facing a couple difficulties in determining our spring constant. We have a table of forces ...
0
votes
2answers
117 views

Why is the object's maximum speed at $x=0$ for spring?

My book derives velocity of the hanging object of a horizontal spring (on frictionless surface) as a function position: $$v=\pm \sqrt{\frac{k}{m}(A^2-x^2)}$$ and shows the maximum speed is at when x ...
7
votes
3answers
216 views

Center of mass of heavy spring

If a heavy spring of uniform density and mass $m$ is hung vertically so that it is stretched by gravity under its own weight, where is the center of mass? I have had a few people tell me it is ...
0
votes
2answers
301 views

Mass hanging from spring: potential energy [closed]

I have encountered a problem with a mass $m$ hanging from a spring. I want to find the maximum distance it will be stretched from the spring's equilibrium. At the maximum distance the spring is ...
0
votes
1answer
191 views

Object Falling on spring

This is problem #23 from the 2015 F=ma contest: A 2.0 kg object falls from rest a distance of 5.0 meters onto a 6.0 kg object that is supported by a vertical massless spring with spring constant k ...
0
votes
2answers
87 views

Given force as function of position, find the total energy as function of time [closed]

Given that the force for a non-linear spring connected to a mass $m$ sitting on a table is $$f(x) = -kx -ax^3,$$ Find the total energy as a function of time $E(t)$. I have no clue where to ...
0
votes
2answers
118 views

Does really a spring compresses placed between two blocks when one block is given force on a frictionless surface?

When Spring is placed between two bodies on a frictionless surface it gets compressed when one block is given kinetic energy as told by my physics teacher. But it should not compress as there's no ...
0
votes
3answers
99 views

Where does the spring's energy go?

I have learned that ideal spring has no mass. Suppose, I attach a ideal spring (spring constant $K$) to a wall and pull it a distance $x$ it will have a potential energy $U = \frac{1}{2}Kx^2$ and if I ...
-1
votes
2answers
82 views

Question about spring force and work [closed]

An ideal massless spring can be compressed $2.33\ \mathrm{cm}$ by a force of $268\ \mathrm{N}$. A block of mass $m=3.18\ \mathrm{kg}$ is released from rest at the top of a frictionless incline of ...
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2answers
429 views

Max extension of spring mass system

While attempting problems of simple harmonic motion I came across this problem, which has gotten me confused. A fixed horizontal spring is stretched by a constant force $F$. I am required to obtain ...
3
votes
3answers
97 views

How to model vibration damped by applied/contact force?

I am computer science student and I am working on a project which needs to know how the vibration of phone is damped by applied force (when human touches the phone). I have read many articles about ...
0
votes
3answers
90 views

What's the work done by a spring on a block when it moves from extreme to mean position?

I really don't know where am I doing it wrong, but block when it moves towards mean position displacement will be along the force right, so the force acting on block will be $+fxdx$ Integrating we ...
0
votes
0answers
103 views

Spring mass on a rotating disc

I demonstrated the problem in the figure below. Edit: Original figure is 90 degrees rotated clockwise. I couldn't rotate the figure here. Disc is massles and horizontal. Vibrating mass only moves ...
0
votes
1answer
102 views

Spring-mass system with complex spring constant

Suppose a system containing a mass $m$ on frictionless surface, attached by a spring to a wall. The spring's constant is complex, given by $K = K_1 + K_2i$, with $K_1 \gg K_2$. Write the ...
0
votes
1answer
73 views

How to set up the Lagrangian for this kind of problem?

I'm currently studying rigid bodies in Goldstein's Classical Mechanics book but although I understand the theory I'm not yet understanding how to set up the Lagrangian in some situations. One such ...
0
votes
2answers
114 views

The work done by a spring over a specific distance

I cannot seem to find the answer for my question. I know that the formula for work is $W = FD$. Given a mass that is attached to unstretched spring and is pushed by some force to stretch the spring, ...
0
votes
1answer
332 views

What is the initial velocity of an object, given a change in mass, and an exerted force [closed]

An 8.0-g bullet is shot into a 4.0-kg block, at rest on a frictionless horizontal surface (see the figure). The bullet remains lodged in the block. The block moves into an ideal massless spring and ...
1
vote
1answer
271 views

Two bodies connected by a spring

I came across of a problem. It is about two bodies with equal masses connected by a spring with the coefficient $k$ and the length of $l_0$. Suddenly, a constant force $F$ is applied to the first ...
0
votes
2answers
229 views

Can friction change the resonance frequency of a system?

I am simulating the transient response of a mass-spring-damping system with friction. The excitation is given in the form of a base acceleration. What I am not sure about is: can the friction change ...
0
votes
1answer
121 views

Speed of waves in a spring

I recently bought a small Slinky spring so as to observe the speed of a wave along its length. I stretched it out quite tightly in a HORIZONTAL position on a spring holder and then plucked at it on ...
-1
votes
1answer
56 views

Change in F vs x graph if spring is torn in half? [duplicate]

The force required to stretch a spring varies with the distance as shown in the figure. If the experiment is performed with the above spring of half the length, the line OA will: (a) shift toward ...
0
votes
1answer
288 views

Spring-block system, simple harmonic motion, time period

In the case of simple harmonic motion of spring block system, why time period of the simple harmonic motion of the block is independent of acceleration of the system (spring-block system)?
1
vote
1answer
56 views

Distance between coils on a massive spring

I'm trying to calculate the separation between coils on a massive spring with no weights attached under different conditions. I will present my solution to the problem in the case of a uniform ...
0
votes
2answers
211 views

Relation of spring constant with mean radius of spring

My teacher says that spring constant depends on its radius. I tried to understand it, and checked many questions in this site and other sites. All of them say that spring constant depends on number of ...
3
votes
1answer
137 views
1
vote
1answer
53 views

Gravitational PE lost v Elastic PE gained in mass - spring

If a spring has a load $m$ added to it (and so is extended by $x$), the gravitational potential energy lost by the mass will be $mgx$. The elastic potential energy gained by the spring is ...
2
votes
3answers
123 views

What has the potential energy: the spring or the body on the spring?

Particles have gravitational potential energy due to its position in the gravitational field. We say the particle has potential energy and not the Earth (the body doing the work). Why is it not the ...
1
vote
1answer
150 views

How to Determine Viscosity using Damped Oscillations? [closed]

How does one find out the viscosity of a fluid, using viscous damping of an oscillating spring? Any help would be greatly appreciated.
0
votes
2answers
85 views

Compression of spring when an object of given mass is placed on it

A question in my textbook says - A block of mass $m$ is released from rest onto an ideal non deformed spring from a negligible height. Neglecting air resistance, find compression $x$ of the spring. ...
0
votes
1answer
81 views

How to set up equations of forces for 3 springs connected to each other in an elevator?

In the above diagram the elevator is moving downward with acceleration $a_E$ and velocity $v_E$. All 3 masses are given as $m1,m2,m3$. The question is how much has the middle spring stretched from ...
1
vote
1answer
305 views

2D Mass Spring System - Where does $m_3$ go to?

I am struggling to frame proper equations for the following two-dimensional mass spring System: 1D Model Basics first: I started with a simple one-dimensional mass-spring System to model something ...