The spring tag has no wiki summary.
2
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2answers
66 views
Undamped oscillations. Why is the solution a linear combination of $\sin()$ and $\cos()$?
$ma = mg - cx$, where $x(0) = x_0 = 0$ is the position in which there is no tension in the rope. $dx/dt = v_0$ for $t = 0$; $v_0$ is a known constant.
The discriminant of the characteristic ...
0
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0answers
14 views
Spring damper model does not work very well [migrated]
I'm trying to model a spring damper system from a tutorial that I've found on this site.
If I use the exact same parameters as the ones in the tutorial the system is not stable. I've downloaded the ...
1
vote
1answer
54 views
How do determine the equation of motion of slinky?
I'm trying to analyze the forces exerted to slinky. First, I've divided both ends.
The red vector is the force exerted by slinky itself, and the green vector is gravitational force.
Force exerted ...
3
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0answers
58 views
Effective mass in Spring-with-mass/mass system
Suppose you have a particle of mass $m$ fixed to a spring of mass $m_0$ that, in turn, is fixed to some wall. I'm trying to calculate the effective mass $m'$ that appears in the law of motion of the ...
2
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3answers
31 views
The motion of a spring
I have a question about the force set by this spring, I saw many times that $\overrightarrow{F}=-Kx\overrightarrow{i}$.
I'm asking why not using $\overrightarrow{F}=Kx\overrightarrow{i}$ without the ...
0
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2answers
54 views
Time period for spring connected body
Two identical springs with spring constant $k$ are connected to identical masses of mass $M$, as shown in the figures above. The ratio of the period for the springs connected in parallel (Figure 1) ...
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0answers
49 views
Does the slinky base stay perfectly level during the initial free fall [duplicate]
In this related question:
Slinky base does not immediately fall due to gravity
It is observed that the base does not fall immediately.
Obviously the center of mass is in free fall, and the tension ...
-4
votes
1answer
47 views
High School Physics student needs help [closed]
A human cannon has a spring constant of 35 000 N/m. The spring can be extended up to 4.5m. How far horizontally would a 65kg clown be fired if the cannon is pointed upward at 45 degrees to the ...
4
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2answers
88 views
Why is the damping force on a spring oscillator linearly dependent on velocity?
If you consider the damping force is friction like in:
then the force should be $$F=\mu N$$ where $\mu$ is the coefficient of kinetic friction. Why then is the damping force assumed to be linearly ...
0
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1answer
38 views
Period of oscilation [duplicate]
Two masses $m_1$ and $m_2$ are connected by a spring of spring constant $k$ and slide freely without friction along horizontal track. What is period of oscillation? No force influence.
2
votes
1answer
119 views
Two masses attached to a spring
I'm trying to understand the solution of the following problem.
Two masses $m_{1}$ and $m_{2}$ slide freely in a horizontal frictionless track and are connected by a spring whose force constant is ...
1
vote
3answers
142 views
What is the mathematical justification for the quadratic approximation to the energy of a spring in a one-dimensional lattice?
It follows easily from this draw, the length $l$ of this spring as a function of the vertical distance $x$, as $l(x)=\sqrt{1+x^{2}}$
Now, $l$ can be expressed as a MacLaurin expansion:
$$l(x) = ...
0
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0answers
36 views
How can I find the frequency? [duplicate]
Grocery stores often have spring scales in their produce department to weigh fruits and vegetables.
The pan of one particular scale has a mass of 0.5 kg, and when you place a 0.5 kg sack of potatoes ...
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0answers
51 views
Frequency with the spring scale [closed]
Grocery stores often have spring scales in their produce department to weigh fruits and vegetables.
The pan of one particular scale has a mass of $0.5 kg$, and when you place a $0.5 kg$ sack of ...
3
votes
2answers
161 views
Nonuniform acceleration due to rubber rope
What I want:
I have a rubber rope which is $5m$ in length when not stressed and is able to stretch about $100\%$ (to $10m$ long). I want to accelerate a constant mass horizontally, which has ...
0
votes
1answer
75 views
Simple harmonic oscillator system and changes in its total energy
Suppose I have a body of mass $M$ connected to a spring (which is connected to a vertical wall) with a stiffness coefficient of $k$ on some frictionless surface. The body oscillates from point $C$ to ...
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0answers
44 views
Dynamics of an object hitting a spring [closed]
In a one dimensional universe, there is an object of mass m, heading towards a spring (which is attached to a wall of infinite mass) of spring constant k, at a constant speed of u (i.e. acceleration ...
0
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3answers
75 views
Hooke's law limitation question
Let's consider a spring. I am a strong man(well, lets assume) and I am pulling the spring. the work I do is being stored in the spring in the form of its elastic potential energy. Then suddenly, ...
1
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1answer
104 views
rate of change of spring potential energy $\frac{dU}{dt}$
Suppose we have a setup like this. In orange are two wooden sticks sort of things, and they are attached to the block of mass $m$(as usual) at a joint which is hinge type something. A similar ...
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0answers
101 views
Calculating effective spring constant of trampoline [closed]
A gymnast bouncing a trampoline is performing vertical oscillations. If he bounces very gently, his feet remain in contact with the trampoline at all times. This motion is approximately a simple ...
5
votes
1answer
116 views
Slinky base does not immediately fall due to gravity
Why does the base of this slinky not fall immediately to gravity. My guess is tension in the springs is a force > mass*gravity but even then it is dumbfounding.
2
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3answers
169 views
Why does a spring lose its energy when compressed for a long time?
Why does a spring lose a part of its energy when compressed for a long period of time? Is it because the material gets bent?
0
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1answer
106 views
Spring Constant
Is it possible to determine the spring constant of a spring in a situation in which it is being compressed when such certain length of compression is not known? If so, how can such calculation be ...
3
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2answers
1k views
Modeling a two-mass, spring, damper system
I'm trying to model a system with two masses, two springs, two dampers, and one applied force using transfer functions. I'll then be inputting it into Simulink.
The system looks like this but there ...
0
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2answers
195 views
Two blocks connected by spring on frictionless surface and Newton's third law
Suppose there is the following situation:
Blocks $A$ and $B$, with masses $m_A$ and $m_B$, are connected by a
light spring on a horizontal, frictionless table. When block $A$ has
acceleration ...
0
votes
1answer
143 views
Hooke's law, springs
A spring AB with constant k is hooked in the end A to the ceiling. At the end B of the undefomed spring is hooked a mass of weight 100N. At $t=0$ the mass is let free with no initial velocity. Not ...
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0answers
21 views
There's a ball and aspring in this one [closed]
There's a spring (k= 1 N/cm) hanging from the ceiling. a ball (m= 30 g) is thrown upward and it hits the end of the spring at t=0 with the velocity v0=0.3m/s and makes the spring compressed. How long ...
0
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0answers
98 views
Spring with mass [closed]
A block of mass $M$ is attached to a spring that has mass $m$ and the force constant $k$. The block is placed on a horizontal frictionless surface. Find the period of small-amplitude oscillations ...
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0answers
65 views
Mass spring system, increase mass [closed]
The question says that after a mass $m=M$ (attached to a horizontal spring) reaches its furthest point, so at its amplitude, the mass is doubled, $m=2M$.
What happens to the period, amplitude and ...
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0answers
61 views
On a Pilates reformer, how much resistance is from springs and how much from weight of user?
Here's picture of a Pilates Reformer machine: image
How much of the force required to move the carriage is based on the resistance of the springs, and how much is based on the weight of the user? ...
0
votes
3answers
184 views
where did I lose the negative sign when spring is in compression in a mass-spring problem?
Most books just tells you that spring force is $-kx$ since it opposes motion and to just write $mx''=-kx$ regardless if the spring is in tension of compression.
But when I try to derive this using ...
0
votes
1answer
61 views
Spring extensions
A certain spring has attached to it a mass of 25 units: on increasing the load by 6 units it extends 2.5 cm.
a) What is the time of oscillation under the original load?
b) What will be ...
4
votes
2answers
246 views
Potential energy of a spring
I'm puzzled about the potential energy of a spring. A spring is a conservative system. So the potential energy should be defined only up to a constant -- can be defined to be 0 anywhere. However, ...
0
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3answers
796 views
How to derive the period of spring pendulum?
So I wanted to find out how to (simply, if that's possible) derive the formula for a period of spring pendulum: $T=2\pi \sqrt{\frac{m}{k}}$. However, Google doesn't help me here as all I see is the ...
3
votes
2answers
308 views
Dynamics of a Vertical Mass-Spring Simple Harmonic Oscillator with Gravity
I am having some trouble obtaining the elastic potential energy and gravitational potential energy of a simple mass spring system.
In this experiment, masses attached to a spring were dropped from a ...
0
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2answers
96 views
Why is the spring constant $W_p''(0)$?
According to my physics book, the spring constant can be calculated from knowing the potential energy, with the formula $k = W_p''(0)$.
I don't really understand why, and the book doesn't explain it ...
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0answers
132 views
Potential energy of a spring
I have a little problem with the potential energy of a spring... I hope you can help me!
I have two coupled pendula, given by two masses $m$ fixed to two rigid bars (that haven't any mass) and with ...
2
votes
1answer
76 views
How do I account for the direction of friction acting on a spring?
I would like to set up the equations of motion for a simple spring oscillator.
Let's have a spring lying horizontally; we attach a small mass $m$ to the (massless) spring.
The force of the spring ...
0
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1answer
478 views
Mass-Spring Damper system - moving surface
I need help with a physics problem, I don't know much about dampers, how can this be solved?
we have
$y_0(x)=\mu\sin(\Omega x)$
We arrive at this equation for motion (where we define $b$ and ...
-1
votes
1answer
50 views
Is this $W_{r} = \frac{1}{2}kx^2 $ procedure correct [closed]
I have a $0.40 Kg$ of mass that has $v= 0.5 m/s$, and then crashes with a spring with constant $k = 750N/m$
Whats the distance that the spring was compressed?
I was using the equation $W_{r} = ...
0
votes
2answers
144 views
Calculating restorative force with Hooke's Law [duplicate]
Possible Duplicate:
Mass points of a Mass-spring model
Say I have a spring like the one in the picture below:
The point at the top is fixed to a ceiling.
The red coloured arrow is the ...
0
votes
1answer
240 views
Mass points of a Mass-spring model
Let's say I have a mass spring model like the one in the picture below:
So, there are 3 parts of the spring joined together in an equilateral triangular manner. Each of the joints has a mass of ...
1
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2answers
430 views
What is the formula for max kinetic and max potential energy of a spring?
What is the formula for max kinetic and max potential energy of a spring?
1
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1answer
83 views
Modeling linear spring deformation in time
Suppose I had a spring (at equilibrium) and applied a certain force $F$, causing it to undergo elastic deformation. I know that by applying this specific force, hooke's law tells me that the spring ...
0
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2answers
149 views
Understanding the concept of period of motion in simple harmonic motion formula
I have a spring system, whose position equation is $$x(t) = c_1cos(8 \sqrt{2}t) + c_2sin(8 \sqrt{2}t)$$
The textbook says it will have a period of motion of $\frac{2 \pi}{(8 \sqrt{2}t)}$. I ...
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1answer
171 views
Question about finding $k$ in Hooke's Law
My textbook (Advanced Engineering Mathematics by Dennis Zill) offers the following explanation of Hooke's Law:
By Hooke's Law, the spring itself exerts a restoring force $F$ opposite to the ...
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4answers
601 views
Spring-mass system with two springs and three masses
I'm trying to solve a system of springs and masses that is confusing me.
First, the balls are all lined up linearly. Secondly, the ball in the middle has a smaller mass $m$ while the first and last ...
0
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1answer
143 views
Spring-mass physics homework question [closed]
I've been having trouble with my physics homework. The problem is:
You may have measured the properties of a simple spring-mass system in the lab. Suppose you found ks = 0.9 N/m and m = 0.01 kg, ...
0
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1answer
427 views
Maximum Kinetic energy of a spring
The block in the figure below lies on a horizontal frictionless
surface and is attached to the free end of the spring, with a spring
constant of 35 N/m. Initially, the spring is at its relaxed ...
0
votes
2answers
259 views
Linear motion with variable acceleration
Consider the following problem
I pull a mass m resting at x = 0 on a frictionless table connected to a spring with some k by an amount A and let it go. What will be its speed at x=0?
I know how to ...
