Spring constant Definition and 451 Threads

Assume a spring with a mass attached is oscillating. Can i find spring constant from force/time and position/time graph using mgh=1/2kx^2? The force in force/time graph is collected from force meter attached at the top of the spring. The positin in position/time graph is the distance of the mass...

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...

Homework Statement A person attaches a spring to an cubic object that weighs 36kg and pulls this object along a table made of material X horizontally with a steady speed of 1.3m/s. The spring stretches a distance of 3.4cm. Find the ratio of the spring constant to the kinetic friction...

I'm doing a catapult project but I'm sort of confused. I need to find the spring constant in order to get the elastic potential energy. The force of pulling back the catapult lever to 36 degrees above the horizontal is 4.2 N. Right before the lever is at rest, 90 degrees, the force is 1.4 N. One...

During a test experiment, the engineer finds an ideal very light spring has already been stretched 1.4m from its original length. He also finds that he needs to perform 100J of work to further stretch this spring an additional 1.5m. What is the value of the spring constant for this...

Homework Statement An engineer is designing a spring to be placed at the bottom of an elevator shaft. If the elevator cable should break when the elevator is at a height h above the top of the spring, calculate the value that the spring stiffness constant k should have so that passengers...

Homework Statement The drawing below shows a hydraulic chamber in which a spring (spring constant = 1580 N/m) is attached to the input piston (A1 = 15.3 cm2), and a rock of mass 41.9 kg rests on the output plunger (A2 = 66.6 cm2). The piston and plunger are nearly at the same height, and each...

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 Let's pretend I am given a potential energy function and nothing else. I need to find the effective spring constant for oscillation about the equilibrium point using a taylor series expansion. I can't find an example or explanation anywhere on how to do this. the potential...

1. A spring of spring constant k is attached to a support at the bottom of a ramp that makes an angle θ with the horizontal. A block of inertia m is pressed against the free end of the spring until the spring is compressed a distance d from its relaxed length. Call this position A. The block is...

Homework Statement Practice problem for midterm. Homework Equations [/B] T_1+U_1=T_2+U_2 U_spring=1/2kx^2The Attempt at a Solution [/B] Set X-axis along the 30 degree line and the Y-axis perpendicular. I'm not sure how to consider the friction constant into the formula. Any help is very...

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 If you change the diameter of a spring does it affect the spring constant? Assume the spring length, if fully extended, was kept constant. Homework Equations F=kx; F=mg The Attempt at a Solution From my research the spring constant (k) is measured by applying a mass and...

Homework Statement and the attempt at a solution[/B] I tried to find the equivalent sprint constant using two points of equivalence. The first is with respect to theta. The second is with respect to the datum x as shown in the images below. The two methods yield two different answers which is...

Homework Statement A spring system consists of two parallel springs on top and a single spring connected to them on the bottom as shown: http://i.imgur.com/hgMr12U.png If the system is extended by 7 cm (i.e. x = 0.07m), F = 5N and k2 = 10 N/m, explain why the value of k1 is unrealistic...

I have a question about the spring constant of springs in series. Basically why is it less than the springs involved in the series? I know that when in series the spring constant is the sum of the inverse of each spring involved, but why? thanks.

I'm in a basic level physics class as a requirement for my major. Physics has never been a strong subject for me. Can someone help me with this problem? You have a spring with a 60lb weight hanging from it. A) If the 60 pound weight stretches the spring 3 inches, how much will a 30 pound...

Homework Statement Josh pushes a box of mass m which then travels on a horizontal surface. There is a coefficient of kinetic friction μ between the box and the surface. The box has speed v when it reaches x = 0 and encounters a spring. The box compresses the spring, stops, and then recoils...

The force-deflection relation of a steel helical spring used in an engine is found experimentally as \(F(x) = 200x + 50x^2 + 10x^3\), where the force \((F)\) and deflection \((x)\) are measured in pounds and inches, respectively. If the spring undergoes a steady deflection of \(0.5\) in during...

Homework Statement Consider a solid of compressibility ##\kappa##. Assume that the atoms in this solid are arranged on a regular cubic lattice, the distance between their nearest neighbors being ##a##. Assume further that a restoring force ##-k_0 \Delta a## acts on a given atom when it is...

The question I am having difficulty with states that it requires 123 J of work to stretch a very light ideal spring from a length of 1.4m to a length of 2.9m. What is the value of the spring constant? My thinking was that the work required would be equal to the spring force so I set up...

i am working on a project for a dynamic sculpture we want the sculpture to be able to sway and our idea includes placing the sculpture on a floating base(almost like a catamaran) , with wind forces the sculpture will sway. i would like to know how i may model the water resistance/buoyancy...

Hello WARNING: Some people may find this post a little gross. I observed something today that I didn't know could happen in fluids, only in solids. I let some slimy spit out from my mouth. It became a longer and longer connected line, and then the bottom broke off. What was interesting was...

Homework Statement A person with a mass of 65 kg goes bungee jumping. At the lowest point, he is located 30 m below his starting point. If, at the equilibrium point, the bungee cord measures 15m, what is its spring constant? Homework Equations F = k*x Ep = (1/2)(k)(x^2) The...

I have been conducting a lab to find the force of a spring by calculating the oscillatory motion of the period. Each time i added a mass, i gained a higher spring constant, but on the 250g i ended up losing spring constant. I was wondering if anyone know why, or if i have done something wrong...

Hello I was given this problem, and I have two possible answers and I really just need someone to verify which one is right, or at least in the right direction. Thanks! Homework Statement A cart is floating on an airtrack and is connected by a spring to one fixed object. The cart executes...

Homework Statement "the question is included in the attachment" Homework Equations F=ks, E=stress/strain=(force/area)/(change in L/L) Second moment of inertia=I=(1/2)*base*height^3 The Attempt at a Solution Sice F=ks k=F/s where F=p and s= d(L) (change in L)...

Homework Statement I'm trying to find a relationship between spring and torsion constants for an experiment but am not sure what it is and am struggling to find it. Homework Equations Torque = Torsion Constant * Angle of Twist Force = Spring Constant * Extension Shear Modulus...

Homework Statement A spring stretches 0.150m when a 0.300kg object is hung from it. The spring is then stretched an additional 0.100m from this equilibrium point and released. A) Calculate the spring constant (k) B) Calculate the amplitude, period of motion T, frequency f and angular...

Homework Statement A mass of 50.0 g mass is hung from a spring, spring is elongated to 40 cm, an additional mass of 20g is added, with a new reading of 45cm a) what is the spring constant for this spring? b) another mass of 30g is added to the spring, what is the new reading? Homework...

Homework Statement Q) Derive the expression for the equivalent spring constant that relates the applied force F to the resulting displacement x of the system shown in Fig. 1.86. Assume the displacement of the link to be small. Homework Equations I have solved the question but when...

Homework Statement https://scontent-a-sjc.xx.fbcdn.net/hphotos-frc3/t1.0-9/10294335_1407511836191702_8633020308624670643_n.jpg Homework Equations PE=.5kx^2 F=-kx The Attempt at a Solution I honestly just don't know how to approach a problem where you have to find both the...

Question: This is question from A.P French vibrations and waves, problem 3-1 for anyone whom may have it An object of mass 1 g is hung from a spring and set in oscillatory motion. At t=0 the displacement is 43.785 cm and the acceleration is -1.7514 cm/sec^2. What is the spring constant? My...

Homework Statement The force between an ion pair is given by F=-k\alpha\frac{e^{2}}{r^{2}}[1-\left(\frac{r_{\circ}}{r}\right)^{m-1}] Find the value of r where the equilibrium position is. Determine the effective spring constant for small oscillations from the equilibrium. Using...

A u tube open at both ends and a uniform cross section contains a mas of mercury,m and a density of 'rho' if the level is slightly disturbed show the surface oscillates with a periodic time of Tn=2pi sqrt[(m/2g'rho'a)] where a is the cross sectional area. i understand how to do this...

Homework Statement A compressed spring has 138 J of energy stored in it. When it is decompressed by 125 cm, it now stores 82.6 J of energy. What is the spring constant Homework Equations General: ΔU = 1/2kxf2 - 1/2kxi2 U(x) = 1/2kx2 U1 = 1/2kx12 U2 = 1/2k(x1 + 1.25 m)2 The...

Two methods for finding spring constant "k" Homework Statement A box of mass 5 kg is made to rest on a vertical spring. The box compresses the spring by 10 cm, find the spring constant. Homework Equations I felt this can be solved by two methods : 1. Force of gravity = Outward...

Homework Statement This was a mini-lab and the task was to fire a rubber band by stretching it a known distance, shooting it straight horizontally from a known height. Based on where the rubber band lands determine the elastic coefficient. Known data from experiment: mass=0.30g, height=0.412m...

What is the maximum possible spring constant for a spring ( practically) for a spring of length 0.5 cm? does it depend on the radius?

A 870·kg car strikes a huge spring at a speed of 16·m/s, compressing it 10.0·m. How long does it take the spring to stop the car? 2. Homework Equations - T= 2pi√m/k I don't know why I can't get this problem right. I have 2pi√870/2227.2=3.92 then you would divide that by 2 because it's half the...

Homework Statement A mass m is connected to a spring with unstretched length L. You hold on to one end of the spring and swing the mass around. You practice getting the mass going until the spring just goes slack at the top of the path. At the bottom of the path. the spring stretches by an...

Homework Statement I'm modelling a plank of wood as a number of masses connected by springs. I need to know the spring constant of wood, but I am unable to find it and I'm not sure how to work it out?

An unknown mass M is found to have a period of oscillation of 1.0 second using a spring of unknown spring constant k. When an additional 200g is added to the initial mass, the period of oscillation increases by 0.6 seconds Determine: (a) The unknown mass M (g), (b) The spring constant k (N/m)...

Homework Statement In a physics lab experiment, a spring clamped to the table shoots a 22g ball horizontally. When the spring is compressed 22cm , the ball travels horizontally 5.2m and lands on the floor 1.4m below the point at which it left the spring. What is the spring constant...

Homework Statement In class, we did a lab that consisted of putting a small wooden cylinder in a pipe that contained a spring, pushing it down on the spring and locking it in, then unlocking it which allowed it to launch straight up. We then would add fishing weights to the block to increase...

Hi guys, I've come across this problem and I'm not sure on where to start? Any help would be greatly appreciated. :cool:

Using a program called tracker we have got data from a spring holding a 0.5 kg weight. We have the displacement in the x direction (positive x direction being down) and time. The task is to somehow find the spring constant (k) but I cannot for the love of me figure it out.

I am calculating the initial velocity of a released pvc pipe after it has been bent. I would like to know if i have this correct. Potential energy = Kmgh; I have my mg and it is 50N, so PE = k*50*h; I have been told that k is the spring constant of my bent pvc pipe. Therefore since I have...

Homework Statement Part 1 (static method): We measured the displacement of a spring (in cm) after adding and subtracting masses (in g). The spring was placed in a vertical position. I am supposed to find the spring constant ks. Part 2 (dynamic method): We did something similar to the...

Homework Statement A one-dimensional harmonic oscillator is in the ground state. At t=0, the spring is cut. Find the wave-function with respect to space and time (ψ(x,t)). Note: At t=0 the spring constant (k) is reduced to zero. So, my question is mostly conceptual. Since the spring...