Hooke's law Definition and 261 Threads

Homework Statement The position of a 49 g oscillating mass is given by x(t)=(1.8cm)cos12t, where t is in seconds. Homework Equations k=mg/x The Attempt at a Solution I've tried working this problem multiple different ways and it is just not working for me. I used k= (.049*9.8)/.018 Is this...

Homework Statement A mass "m" is attached to a spring of constant "k" and is observed to have an amplitude "A" speed of "v0" as it passes through the origin. a) What is the angular frequency of the motion in terms of "A" and "v0"? b) Suppose the system is adjusted so that the mass has speed...

Homework Statement Imagine you were to connect your spring from this experiment to a 1.0 kg lab cart. You pull the car back and stretch the spring 30 cm, then release the car from rest, assuming there is no friction. A) find the acceleration at the instant when the cart is first released. B)...

Hi I was given the following problem in my coursework: Homework Statement "A spring is initially compressed by 50mm when a steel ball of mass 2kg is released from just being in contact with the uncompressed spring. Determine the spring stiffness (k) of the spring." Homework Equations F = mg...

Homework Statement A car driver updates the springs of a car by replacing the old springs with stiffer ones. The old springs give an amount of 8 cm when under the car, and their length when not under the car is 29 cm. The spring constant of the new springs is 30 % greater than that of the old...

Hi, I would like to do an experiment for my physics class about which balloon has the highest stretch ratio and found the following page on this forum: https://www.physicsforums.com/threads/hookes-law-for-a-balloon.670566/ First of all, can you please explain this function? σ=σ(λ). I'm...

So I'm doing an experiment where I am using five different methods to find the spring constant of a spring. These three values of k should be the same but alas, they are not :( and I am at a loss as to why. The first method was by using hooke's law and finding the displacement and graphing the...

Homework Statement A 5.3kg mass hangs vertically from a spring with spring constant 720N/m. The mass is lifted upward and released. Calculate the force and acceleration the mass when the spring is compressed by 0.36m. Note: I already solved for acceleration and I got the correct answer-...

Homework Statement A bungee jumper of mass 60kg jumps from a bridge 24 m above the surface of the water. The rope is 12 m long and is assumed to obey Hooke's law. What should the spring constant of the rope be if the woman is to just reach the water? Homework Equations Ep=mgh E=1/2 kx^2 The...

For Hooke's Law, why is there a negative in F = -k*x? Is it because k is the reaction force against the force applied on the spring and not the force pushing or pulling on it? For example, let's say that the origin is set where the spring ends when it's in equilibrium with no forces applied to...

Homework Statement A ball with a mass of 250 g and a volume of 126 cm^3 is hung vertically to a spring the springs length becomes 0.690 m.Then the ball is slowly submerged in water with a density of 1000 kg /m^3 then the spring's length becomes 0.620 m. Find Buoyancy force of the water on...

Homework Statement For the system of springs a) Assemble the stiffness matrix K and the force-displacement relations, K*u = f b) Find the L*D*L^T factorization of K. Use Matlab to solve c) Use the boundary conditions and applied forces to find the displacements Homework EquationsThe Attempt...

I conducted a uniaxial tension test for a variety of materials but wasn't able to gather much useful axial strain data due to the extensometer continually slipping. I have axial strain data for the linear elastic region of the stress strain curve and I also have the extension of the crossbar of...

Homework Statement Consider a spring of natural length L_0 with constant k which rests on a horizontal frictionless surface. The spring is attached at one end to a fixed post and at the other end to a mass m. Suppose the spring is rotating around the post in a circle with angular velocity w...

Homework Statement Consider the following classic problem: we have a rod in the vertical position with a pivot at its midpoint and a spring attached to the bottom of the rod, perpendicular to the rod. The is rotated through a small angle theta to the vertical, and released. Find the period of...

How does one arrive at the following equation to approximate spring constant for solids... using Hooke's Law F ∝-x ⇒ F = -kx and strain∝stress ? k = (m/a2) × (K/ρ)½ where k≡spring constant m ≡ mass of a single atom a ≡ atomic spacing K ≡ bulk modulus ρ ≡ density

Hi, About elastic and plastic materials: All materials exhibit elastic deformation up to a certain limit, beyond which they exhibit plastic deformation. Some materials, such as plasticine, have extremely tiny elastic regions, so we call them 'plastic materials'. Some, like rubber, have large...

Okay here is my question. Assume that you are pulling a spring with 3N from one end and 5N from the other one. How can we apply Hooke's Law in this case? And let's assume that the spring isn't stretching anymore just to simplify things, but it is accelerating. If we divide the spring into...

Homework Statement One end of a horizontal spring with force constant (76.0 N/m) is attached to a vertical post. A 4.00-kg can of beans is attached to the other end. The spring is initially neither stretched nor compressed. A constant horizontal force of 57.0 N is then applied to the can, in...

Homework Statement Elevator initially at rest. Equilibrium length L0=40.0cm 60-kg person stands on spring L1= 32.0cm The elevator than speeds upwards at 2.50 m/s2 What is the new length (L2) Homework Equations Fnet=ma Fsp=-kdeltaX FG=mg The Attempt at a Solution Taking down as positive y hat...

Hello, Just for curiosity... Is Hooke's law valid for a vibrating massive spring ? I have done some calculations using both Newton's 2nd Law and the conservation of energy to a horizontal swinging spring connected to a small block in the absence of any friction. I have found that the tension of...

Homework Statement A 1200-kg car moving on a horizontal surface has speed v = 85 kmh when it strikes a horizontal coiled spring and is brought to rest in a distance of 2.2 m. What is the spring stiffness constant of the spring? Homework Equations F=-kx KE=(1/2)mv^2 PE(spring)=(1/2)kx^2...

As another of my personal music projects, I have wondered if it would not be possible to calculate the 'feel' of a drumhead (i.e. the amount of 'give' expressed as transverse displacement 'z' that an equally pre-tensioned circular membrane of radius 'r' experiences when struck on its plane at a...

I am new here and I hope I posted this in the right place. I understand that Hooke's Law is F=-ks which states that the spring force is directly proportional but opposite to the difference of the distance from the stretched length of the string and the equilibrium length of the string. I just...

Homework Statement I am using the 3D implementation of Hooke's law as found in wikipedia at: https://en.wikipedia.org/wiki/Hooke%27s_law I need to find the actual source to cite it in a master's project software write up. Many professors do not consider wikipedia to be an acceptable source...

Homework Statement A 75g object vibrates at the end of a spring(k=5.0 N/M) if the maximum displacement of the object is 0/080m to tge right what is the maximum acceleration? Homework EquationsThe Attempt at a Solution Fs=-kx so... (-5)(0.080)=Fs and fs=fg so -0.4=75a then a is -.0053... the...

Homework Statement A weight of 8 pounds extends a spring 2 feet. It's assumed that the damping force that acts on the system is equal (number-wise) to alpha times the speed of the weight. Determine the value of alpha > zero so x(t) is critically damped. Determine x(t) if the weight is liberated...

Homework Statement A 0.20 kg mass hangs vertically from a spring and an elongation below the support point of the spring of 9.50 cm is recorded. With 1.00 kg hanging on the spring, a second elongation of 12.00 cm is recorded. Calculate the spring constant k in Newtons per meter. (Note the...

Homework Statement | Mass 1: 2kg | -------- | Mass 2: 3kg | ----------> 15N 2 blocks are connected by a massless spring on a horizontal frictionless plane. The left block has a mass of 2kg and the right block has a mass of 3 kg. There is a force pulling Mass 2 to the right with a force of...

Homework Statement I am currently learning about elastic potential energy and this is a question that was given to us by my teacher: When a 13.2-kg mass is placed on top of a vertical spring, the spring compresses 5.93 cm. Find the force constant of the spring. Homework EquationsThe Attempt...

Hookes law says that f = kx where f = force, k = spring constant, and x = change in length. This doesn't make sense to me. Don't objects become harder to compress or stretch as they are compressed or stretched. For example, it is easier to stretch a rubber band when you first start stretching...

Homework Statement A muscle of 1 cm^2 cross section and 10 cm length is stretched to 11 cm by hanging a mass on it. The muscle behaves like a spring that follows Hooke's law. The Hooke's law constant for the muscle was determined by finding that the muscle exerts a force of 5 N when it is...

Hi! I'm studying physics and currently taking the first mechanics course. After dealing with rotation and gyroscopes, now we're working on things like shear stress, and Hooke's law in tensor form etc. I've got Kleppner/Kolenkow but shear stress, Hooke's law in tensor form and tensors in...

Homework Statement i am doing this hooke's law lab to figure out a spring's force constant. I am plotting Force vs. Extension on a graph and then i can calculate the k value using slope however, i keep getting a quadratic instead of a linear line. Homework EquationsThe Attempt at a Solution I...

Before yield we know that stress/strain= E. Can we obtain the same E if we substitute true stress and true strain in the equation? Why

Well, I know that Hooke's law establishes that the force applied on a spring is proportional to the displacement. However, I've got a little bit confused about the formula. My textbook manages the formula as the following: F=-kx Whereas some websites manage it as this: F=kx I still don't...

Homework Statement A particle of mass ##m## is placed on a smooth table and attached to a fixed point ##O## on the table by a spring with spring constant ##k## and natural length ##l##. (i) Show that the particle can execute circular motion about ##O## with angular velocity ##\omega## provided...

In preparing to shoot an arrow, an archer pulls a bowstring back 20 cm=.2 m. The arrow can reach a horizontal distance of 300 m and the arrow weighs 200 g. Find k. m=.2 kg W=1/2kd final- 1/2kd initial Fs=-kx Not really sure where to begin, and I've been trying for a while now. :confused:

A body of unknown mass hangs from a spring and stretches it to 50 cm. If the spring constant is 104 N/cm determine: a. the weight of the body b. the mass of the body k = mg/∆L W= Mg mass : k = mg/∆L 50/104= .4807692308 weight : W= Mg .4807692308*9.8=4.711538462

For a while I've been working on applying the finite difference method to various problems and am now trying to get a model of stress and strain working. I wrote a sim a few weeks ago and I got one example to run and thought it was good. Now, I've tried it on another example and I see that...

I need help with a spring problem: Two identical springs hung from a ceiling have different masses. The first spring is 1 kg with a total length of 6 cm. The second spring is 1.5 kg and is 7 cm in length. The displacement between the two springs is 1 cm. Find the spring constant k...

Homework Statement In a zero gravity experiment a spring has a rest length of 1.0 metre. It is attached at each end to 1.0 kg masses. The combination is then set rotating about its centre of mass at 1.0 revolution per second. Each mass undergoes uniform circular motion with a radius of 70 cm...

Homework Statement A 1.50 kg ball and a 2.00 kg ball are glued together with the lighter one below the heavier one. The upper ball is attached to a vertical ideal spring of force constant 165 N/m and the system is vibrating vertically with amplitude 15.0 cm. The glue connecting the balls is old...

Can I find out the natural extension of a spring if I am only given the mass of a block that can be put on it and the value of the spring constant? I have found x ( from the formula F = -kx ) when the block is on it but I now need to find the extension of the spring with no mass on the end. It...

How come a spring with applied weight of 1000 g goes down 9.8 cm but the same spring with applied weight of 500g goes only 3.7 cm down? This is from my own lab that I preformed, and I need help in explaining why this occurs. I searched online but didn't get any clear answers, my only assumption...

Homework Statement Hooke's law describes a certain light spring of unstressed length 35.0 cm. When one end is attached to the top of a door frame and a 5.40 kg object is hung from the other end, the length of the spring is 42.00 cm. (a) Find its spring constant. (b) The load and...

Homework Statement You have been hired to design a spring-launched roller coaster that will carry two passengers per car. The car goes up a 10-m-high hill, then descends 20m to the track's lowest point. You've determined that the spring can be compressed a maximum of 2.5m and that a loaded...

Homework Statement A vertical spring of negligible mass and spring constant k=1000N/m has a small object of mass M=5.0kg placed on its top. The spring is held compressed by distance of 25 cm from equilibrium position. The spring is released. Find speed of mass at equilibrium position...

Homework Statement Lets say I have a spring with a stiffness of k = 250 N/m originally unstretched. I then gently place a 5 kg block on top of the spring. How much does the spring compress? Homework Equations W = mg F = -ks mgΔh = 0.5k(Δh)2 The Attempt at a Solution Using...

Hooke's law states that the force required to stretch/compress a spring is proportional to the distance stretched. Meanwhile, electromagnetic interactions between particles obey an inverse-square law with respect to distance. So, if as a spring is stretched, it's composite particles get farther...