Springs Definition and 678 Threads

Hi! I feel like I've understood none of this stuff! A 1D chain of springs and masses modeling a chain of atoms has a dispersion relation ala ## \omega## ~ ##|sin(k a /2) |##, where ##k## is the wave vector and ##a## the distance between atoms. As far as I have understood, the debye model (in...

Homework Statement A spring constant of ##3200 N/m## is initially streched until the elastic potential energy is ##1.44## J (##U=0## for no stretch). What is the change in elastic potential energy if the initial stretch is changed to (a) a stretch of ##2.0## cm, (b) a compression of ##2.0## cm...

A 350-g mass is attached to a spring whose spring constant is 64 N/m. Its maximum acceleration is 5.3 m/s2. What is its maximum speed? So, i had a go at the question which basically required the knowledge that maximum acceleration occurs when displacement is maximum and maximum velocity occurs...

Homework Statement Say if I had a system with 3 springs on the left, 1 spring in the middle, and another 3 springs on the right. I add masses to the central spring and calculate the extension. After all my measurements, I plot a graph of spring against mass. If I then repeat the experiment...

Homework Statement An 8.0 lb block is suspended from a spring with a force constant of 3.0 lb/ in. A bullet weighing 0.10 lb is fired into the block from below with a speed of 500 ft/sec and comes to rest in the block. a) Find the amplitude of the resulting simple harmonic motions b) What...

Homework Statement A 2kg block is pushed against a spring of force constant k=400 N/m, compressing it .22m. When the block is released, it moves along a frictionless, horizontal surface and then up a frictionless incline with a slope of 37 degrees. a.) what is the speed of the block as it...

Hi, I usually buy off-the-shelf springs, however I am working on a design that requires some very specific features on each side of the spring (if possible), however this is a very small device, (its a probe). Anyways, I was thinking of getting a machined screw, as I've seen some very good...

Homework Statement I attempted the problems and did them on paper. please look at the attachments below. I am a high schooler that is unsure of spring and work-kinetic theorem problems. I was especially unsure of 2 homework problems, both of which are in the attachments. can somebody tell me if...

Homework Statement Compare the simple harmonic motion of two identical masses oscillating up and down on springs with different spring constants. Homework Equations F = -kxThe Attempt at a Solution Okay, so I understand that the higher the spring constant, the harder it is to compress the...

Homework Statement I have a physics midterm on Wednesday and I'm doing some practice problems to prepare. On one of them, I'm getting an answer that is extremely close to the answer my TA gave me for the problem and I can't tell if it's rounding or if I'm missing something. A mass is attached...

I know this is an idealization, but I'm wondering if there is a reason this idealization works so well. Is it related to the coil of the spring or the bonds between each atom in the spring? I have considered using ## F = \frac{kq_1q_2Nsin\left(\theta \right)}{r^2} ## Where: ##...

I'm struggling in physics class, and I really need help with this question. "If you are holding a spring in your hand and making waves, describe how to make a standing wave at the 2nd resonance frequency (next frequency over the fundamental). Include a sketch with your answer." What does this...

Homework Statement A system has 3 identical masses each connected by springs with stiffness k, and also with the end masses attached to a wall by a spring. The system is oscillating vertically. Write down the equations of motion for each of the masses, with the displacements of each mass...

http://faculty.mint.ua.edu/~pleclair/ph125/Misc/exam2_form_a_solns.pdf On page 1, problem 1, where it shows a mass M and another mass 3M connected by a cord and spring. Then the cord is burned off, and then the spring "pushes the blocks away" I get the momentum conservation and how to work the...

Homework Statement When a 100 cm long thing aluminium rod is lodged into the ground, so that it is vertical, it requires 25.0 N of force to deflect it 20.0 cm from the rest position. The rod is then lodged into the side of a wall, and a 100 g of mass is placed at its end and it is then pulled...

Homework Statement In a parallel spring system, the springs are positioned so that the 56N stretches each spring equally. The spring constant for the left-hand spring, kl, is 1.7Nm and the spring constant for the right-hand spring, kr, is 7.7Nm.[/B]Homework Equations Momentum Principle...

What I want to do is model the rotational behaviour of two bodies (1 and 2). They are connected by three virtual rotational springs (representing a link between them). For a normal (translational) spring the forces on body 1 in X, Y, and Z would be easily calculated as: $$ \mathbf{F}_1 =...

Homework Statement What force is necessary to stretch a spring 48 cm, if the spring constant is 270 N/m? Homework Equations 1/2kx^2 The Attempt at a Solution tried plugging everything into equation and got 31 but it is wrong. Any help would be greatly appreciated

Homework Statement A spring of negligible mass has force constant k = 1800N/m . You place the spring vertically with one end on the floor. You then drop a book of mass 1.20kg onto it from a height of 0.500m above the top of the spring. Find the maximum distance the spring will be compressed...

Homework Statement A man compresses a 30 cm spring against a wall. If he applies a 100 N force and the wall is rigid, by how much does he shorten the spring? (k = 1000 N/m). Homework Equations Fs=-kx The Attempt at a Solution Drew a FBD and labeled applied force of 100 N and calculated the...

1. The problem statement, equations, and work done: [A] Two identical spring and mass oscillators are set in motion in perpendicular directions. The masses are each 4.0 kg and the spring constants are 196 N/m. [1] Calculate the angular frequency and the period of the oscillators. ##\omega =...

Two springs (with indentical, invariant, Rest mass) are indentical except that one spring is compressed. Both springs are at rest. Doesn’t the compressed spring have more mass than the uncompressed spring? (With mass equivalent to the energy required to compress the spring?) Assuming the...

Homework Statement A more sophisticated weighing machine contains two springs. The effect of these is that the machine is more sensitive to masses less than some fixed value M0 than it is to greater masses. The equilibrium displacement is alpha1*M when M<M0, and (alpha2+c) when M≥M0 , where...

Homework Statement [/B] Three identical point masses of mass m each are placed at the vertices of an equilateral triangle and joined through springs of equal length and spring constant k . The system is placed on a smooth table. If the masses are displaced a little towards the centroid of the...

Let us have a 5 dimensional lattice in R^5 = R^3XR^2, where at each lattice point we have a point mass and all mass points are linked with springs in all 5 dimensions (edit, to nearest neighbors). Require that motion of the mass points is restricted to a two dimensional subspace, R^2, of R^5...

Homework Statement A simple pressure relief device is shown in Figure Q6.1 below. It consists of a piston of mass 0.5 kg and thickness 3 cm sliding without leakage or friction into a cylinder of diameter 5 cm. The bottom section of the cylinder can be exposed to a varying source of pressure...

Hi, Do helical springs have hysteresis. Say I do an exercise of plotting deformation Vs load curve of a helical spring, one way will be starting from load zero and increasing till the spring achieves solid length. The other way will be loading the spring till solid length and measuring...

Homework Statement Hello, I'm having an issue with a question I have all the numbers and everything but I can't quite get the answer correctly and its very frustrating.. A mass, m is held at UEP of a vertical spring constant k & allowed to fall. Calculate: a) The maximum stretch(max bottom) b)...

Homework Statement Homework Equations phase constant: y= Asin(wt +phi) The Attempt at a Solution 2*sin(360) =0 How does one approach this problem?

Homework Statement The distance from the spring attachment to the arch in 9 feet. The distance from the arch to the arch is 20 feet. There are three arches. So, End plate-spring to arch to arch to arch to spring-end plate. The tarp weights 750 lbs and is 60 ft by 20 ft. There are 20 springs...

Homework Statement I do not know how to find f(t) with the given Ampliture 40 and a=pi Homework EquationsThe Attempt at a Solution I have the solution above. my set up was 1/2y''+y'+5=f(t) 1/2S^2* Y(s) + Y(s)+5=f(t)

I am trying to build a circuit using gears, motors, and relays only which mimics the motion of a proportional linear solenoid i.e. Hold a spring compressed at a certain distance depending on the current passed, and push/ release it further based on the increase/ decrease of current. (V=12 V...

1. There are 2 negatively charged plates opposite each other. In between them, there is a vacuum tube (50 cm long), containing only 1 electron. Assume it is completely isolated. The charge value for the plates is equivalent to 10000 electrons. Initially the single electron is directly in the...

1. Homework Statement (Attached is an image depicting the situation) A ball of mass m = 1.50kg is hung from a spring attached to a shaft. The length of the spring with the mass hanging from it is Lo = 50.0cm. The shaft then starts to rotate such that the spring stretches to a length L =...

Homework Statement Given: Two masses M between 3 springs of constant K. equilibrium point for the left mass is x=a, for the right one x=b. We move the right mass to point x=b+A 1. What is the return force? 2. What is the work required to create the initial condition? 3. Can we write the enrgy...

Homework Statement A mass starts from rest and slides a distance d down a frictionless θ deg incline. While sliding, it comes into contact with an unstressed spring of negligible mass, as shown in the figure below. The mass slides an additional distance as it is brought momentarily to rest by...

Homework Statement A block with mass m = 1.46 kg is attached to a spring with spring constant k = 52.0 N/m and negligible mass. The coefficient of kinetic friction between the block and the table is µk = 0.349. The block is displaced from its equilibrium position to the left by 0.203 m...

Homework Statement A cylinder on a inclined plane is rolling without slipping. Inclined plane is connected to wall with a spring and cylinder is connected to wall with a spring too. All frictions will be neglected, and all the given data has shown on the image below. As seen above, k2 spring...

Homework Statement Two springs which have force constants 0.90 N/m and 1.29 N/m are linked end to end. How much work is required to stretch the springs by a distance 0.01 m? Homework EquationsThe Attempt at a Solution I just add the total force together so: (.5)(.9)(.01)^2 +...

Homework Statement Homework Equations f_spring = k(x_near - x_far) The Attempt at a Solution a. FBD: The force goes through the nodes, and the sum of the forces must be 0 because the nodes are massless. Therefore, kx_1 = x(t) So x_1(t) = x(t)/k b. FBD: For this system, the parallel...

I'm jut not sure how to solve this problem in general, I tried a couple ways, but I keep getting wrong answers and I only have 2 attempts left. Please give me a direction to go in! A spring is 17.1cm long when it is lying on a table. One end is then attached to a hook and the other end is...

Homework Statement A block attached to a horizontal spring of force constant 75 N/m undergoes SHM with an amplitude of 0.15 m. If the speed of the mass is 1.7 m/s when the displacement is 0.12 m from the equilibrium position, what is the mass of the block? k = 75 N v = 1.7m/s @ 0.12m...

Homework Statement Suppose you have 2 springs in series, one is linear and one is non-linear. Initially the linear spring is at the top position and the non-linear is on bottom. Does swapping the springs affect the system? Homework Equations 1/k_eq = 1/k1 + 1/k2 This equation doesn't apply...

I want to simulate such a system in Simulink. It is a system of mass between two compression, spring preload. Springs are compressed length of 64 mm to 54 mm. Acts on mass shock 50G for 10ms. The coefficient of spring constant is changed depending on the position and direction of movement mass...

If you apply a force of 5N to one side of a spring, and 5N to the other side, then the spring will compress according to F=kX. If K=1, then X=5m. This is similar to what happens when you apply a force of 5N to a spring attached to a wall, right? the wall applies an equal and opposite force...

Let's say I've got a helical compression spring of a known length and strength, and I want to know how much force it would take to twist the spring around the axis of its coils, effectively making the diameter of each coil smaller, so it acts a bit like a torsion spring. I know Hooke's law is...

Homework Statement I'm not so sure about the following: You have 3 set-ups, using identical springs of the same length and stiffness. In the first you have a single spring with mass m attached to it, producing extension x. In the second you have identical springs in series, attached end...

Suppose I have a cubic lattice of N^3 masses, M, each connected to six nearest neighbors with springs of constant k free to move but at rest. Now fire a single mass, m, with velocity v at surface of the lattice such that no rotation can be imparted to the cubic lattice. Let the fired mass bounce...

We are racing a 2550 LB asphalt modified. What are the advantages and disadvantages of having the left rear spring in front of the rear end and the right rear spring behind the rear end? We also have a decel/acel push/pull bar on the center of the rear end. Approximately 600 lbs of torque from...

I want to do some prototype work that may need some springs. they are long springs I will need to find cheep part so I may need to know how to make them as well. The end use would be long large and springs and work around 2200 lbs. I can't give to much more then that some people will think its...