Spring constant Definition and 451 Threads

Homework Statement How do we derive the total spring constants of different mass spring systems Homework Equations F= kΔx The Attempt at a Solution

Suppose I hang a spring vertically from a table. I attach a mass on it. Am I correct in saying that the net force on the spring is 9.8*mass ? If I note the displacement, can I calculate the spring constant by using: K = -F/x = -g*mass / displacement ? Thanks,

In the Princeton Review for AP Physics, there is a question on calculating the effective spring constant when two springs are joined side by side, like so: spring 1 spring 2 |~~~~~~ ~~~~~~[mass] Their spring constants are k1 and k2. How would you go about answering the question? The book...

Homework Statement What is the effective spring constant for the system of the two springs, perfect pulley, and string shown on the left for it to be modeled by just one spring (constant keff) as shown on the right? Homework Equations The Attempt at a Solution With k2 getting...

Homework Statement Problem - Find the following: a. Potential energy in a fully compressed plastic spring. b. Spring constant This was a lab and we're supposed to do it at home, here are the variables I have measured: spring height when not compressed: 0.115 metres. spring height when...

Homework Statement Consider a wire loop in a 1.88 T magnetic field (coming out of the board at a 55.0° angle). The loop is 0.300 m tall and 0.400 m wide, carrying a 2.90 A current traveling in a clockwise direction. The loop feels a torque that causes the spring to compress. If the spring is...

Homework Statement A spring with a force constant of 1.50 N/m is attached to a mass of 120 g. The system has a damping constant of 0.0180 Ns/m. How long does it take the amplitude of the oscillations to decrease from 10.0 mm to 5.00 mm? Homework Equations (double dot)x +(c/m)(one...

This is a real world application that I'm trying to figure out. I need to estimate the spring constant of a standard cover slip (used in microscopy). The coverslip is a thin glass square, dimensions 25mm x 25mm x0.15 mm. I know the Youngs modulus. How should I estimate the "spring constant" of...

Homework Statement I have a attached a photo of the problem I'm trying to solve. I defined x1 as displacement of the bar at the k1 spring, and did so similarly for x2 & k2. It is known k1=k2 as the bar lies flat in equilibrium before the force is applied.+ By taking the moment about F, I...

Homework Statement A mass of 122 g is attached to a vertically hung spring. The mass stretches the spring 13.8 cm. (a) What is the spring constant of the spring? (b) If the mass is dropped from rest from a position where the spring is just relaxed, what will be the maximum distance the...

Does the spring constant of a piece of rubber affect its rate of cooling constant 'k' ? 1) Is there any formula, any proven relationship? 2) If there isn't, would investigating it make any sense? Or would it end up being a waste of time as the two variables are totally unrelated? Is there...

1. An .8kg block is held in place against the spring by a 67 N horizontal external force. The external force is removed, and the block is projected with a v1=1.2. upon separation for the spring. The block then descends a ramp and has a velocity v2=1.9 m/s at the bottom. The track is frictionless...

Hi all, I am reading an online material on elastic force and Hooke's law on spring. The definition of the Hooke's law reads that the restoring force is linear proportional to the displacement of the spring with constant k. The restoring force is defined as the force bringing the object back...

We know that the Young's modulus of an object is defined as the ratio between its stress and strain: Y = σ/ε , or: Y = F*L/A*ΔL We also know that Hooke's law, which can be applied to any linear elastic object, can find spring constant: F = k*x , rearranged: k = F/x But is...

Consider the following question: a woman of mass m steps onto a vertical spring and compresses it a distance d. What is the value of the spring constant k? The dilemma is that I found what I believe are two valid ways of solving this problem, but the two results for k are not equal! If...

Homework Statement I've been asked to find the stiffness constant of a rubber band and young's modulus. To do this I created the experiment like this http://www.gcsesciencemethods.co.uk/2012/05/hookes-law-1.html and then i put all the values in a table. I plotted a graph of extension vs weight...

Homework Statement I already found A, but I keep getting wrong answers for B. A cylinder is fitted with a piston, beneath which is a spring, as in the drawing. The cylinder is open to the air at the top. Friction is absent. The spring constant of the spring is 4300 N/m. The piston has a...

Homework Statement Homework Equations Hooke's law. F = kΔx ω = sqrt(k/m) The Attempt at a Solution For part A F = mg = kΔx k = mg/Δx g is a constant so the spring constant is proportional to the mass and inversely proportional to the change in distance that the spring...

Homework Statement 1.2 kg cart slides down frictionless ramp from a height of 1.8m and then onto a horizontal surface where it has a head-on elastic collision with a stationary 2.0kg cart cushioned by an ideal Hooke's Law spring. Maximum compression of spring is 2.0 cm Determine the spring...

Homework Statement A 8.00 kg stone lies at rest on a spring. The spring is compressed 10.0 cm (.1 m) by the stone. What is the spring constant? Homework Equations F = -kx E = (1/2)kx^2 U = mgh The Attempt at a Solution The solution provided uses a net force equation balancing Hooke's...

Homework Statement A mattress manufacturer estimates that 20 springs are required to comfortable support a 100kg person. When supporting the person, the 20 springs are compressed 0.035m. Calculate the spring constant for one sprint. Homework Equations The answer is 1400N/M at the back of...

Homework Statement I quickly copied this down, so it is paraphrased but I hope it still makes sense. Some children are playing with a spring toy, compressing it off the ground and seeing how high it bounces. When they attach different masses to it, it bounces different heights. Each time...

Homework Statement Given a certain mass m is hung from a spring, Find spring constant. mg=kx or 1/2kx^2 = mgh? These two give very different results for k, but I can't tell which is right or wrong!

A 2.8 kg toy car at rest on a horizontal surface is accelerated by a spring to 4.5 m/s in a distance of 5.3 cm. What is the spring constant of the spring? Hello, I was working on this problem in my homework but my professor hardly went over the spring constant in lecture. I was working on the...

Homework Statement Calculate the error propagation for the theoretical effective spring constant for the two springs. The actual values don't matter, it's just supposed to show how it would be calculated. Homework Equations ke=k1*k2/(k1+k2) The Attempt at a Solution ke=A*B/(A+B) (Let...

Hi, Does a compression spring’s pitch or rise angle have any relation with its spring constant k? I checked various sources and they differ on this. Some sites simply asks you to feed input into a simple formula: k=Gd4/3D3na in which k: spring constant G: material’s shear modulus d...

Homework Statement A car has a total mass of 2000kg, and a ground clearance of 40cm. But some fat dude got in and he made the ground clearance 30cm. What is the spring constant for this bad boy of a car? (The dude was so fat he made the shocks act like springs if you can believe it.) Also...

Homework Statement Construct a plot of T versus \sqrt{m}. Fit a straight line through your data and use Eq. (3.2.3) to obtain the spring constant k from the slope, as well as an uncertainty estimate for k. T is the period of an inertial balance with various masses of mass m. Periods are...

Hey. Working on a project at the moment, where i have to simulate a human arm (hand and lower arm). I need to find the spring constant, k, and dampening coefficient, c. You got any good ideas on how i can do that? So far i tried by measuring the mechanical impedance, and saying the arm is a...

Homework Statement A pinball with mass 80g is struck by a lever with mass 80g in a pinball machine in an elastic collision. The lever was pulled back 2 cm by a spring with spring constant k=1.4N/cm. What is the speed of the ball just after collision? Homework Equations F=kx...

Hello everyone, I'm an engineering student and I have to "size" a gas strut (i.e. spring+damper) to model a trunk lid opening mechanism. I have a problem: on every "datasheet" (something like this http://www.strutsdirect.co.uk/components/variable-force-gas-struts.php) only forces and...

If a spring is originally compressed by 6cm, what is the force of the spring constant? A block of inertia m=0.2kg is launched from a spring onto frictionless surface. The velocity is 2.5m/s upon leaving the spring. I used Hooke's law and got k=mg/x 0.2kg x 9.8m/s / 0.06m = 32.7 N/m The next...

Homework Statement a spring stretches 8.0 cm when a 500. grams mass is hung from it. a. determine the spring constant.the mass is originally pulled 10.0 cm from equilibrium position. calculate the total energy in the system, and the EPE and KE if the distance is 4.0 cm from the equilibrium ...

Hi all. I'm having trouble understanding a homework problem. Here it is... Homework Statement The question, from my book, is: "When a mass m sits at rest on a spring, the spring is compressed by a distance d from its undeformed length. Suppose instead tht the mass is released from rest...

Homework Statement A Cart is floating on an airtrack and is connected by a spring to one fixed object. The cart executes a simple harmonic motion with a period of 4 seconds. Its mass is 2kg. Its maximum displacement from rest position is 1.8m. Calculate the spring constant and provide units...

Homework Statement http://i.imgur.com/0gexJ.png Homework Equations F=kx (Hooke's Law), ƩFy=0 The Attempt at a Solution I drew a free-body diagram for each block. For block A, I get the equilibrium equation: Fa = (10kg)(9.81ms^-2) = 98.1N = kx_a x_a = 300mm-250mm = 50mm k = 1.962kN/m For block...

Homework Statement We are modeling the behavior of a sack truck when driven over a small step. Afterwords we will do some tests with an actual sack truck to verify the model. The movement will be modeled simply like a spring-damping system only having one spring and one damper, thereby...

Homework Statement I require the a means to theoretically calculate the spring constant of a hollow tube. Essentially, I need to find the diameter of the glass pipette which will have a spring constant of 100 Newtons/metre. If someone could point me towards relevant information on...

I am trying to figure out what the kinetic and potential energy of this system. A spring is attached to point A, a mass m hangs from the other end of the spring. Another spring hangs from the first mass, and another mass hangs from the second spring. There is no motion in the horizontal...

A mass spring system is in elevator which moves upward with an acceleration "a" . What will be effect on the measured value of spring constant compared to its value when elevator is at rest. Since K= F/x At rest F=mg But with acceleration F=m(g+a) So I think the value is...

hello everyone! can you please explain on factors the value of spring constant depends? And please provide me with the required maths to get to that idea.. Thanks..

An ideal gas is confined to a cylinder by a massless piston that is attached to an ideal spring. Outside the cylinder is a vacuum. The cross-sectional area of the piston is A = 2.50*10^-3 m^2. The initial pressure, volume, and temperature of the gas are, respectively, P0, V0 = 6.00*10^-4 m^3 and...

Homework Statement Ive worked out all of my values for my shm assignment. In the table of results i have found that my spring constant decreases with load applied. Im stuggling to come with a good reason for this. Number Mass (kg) Spring displacement (m) Spring constant (N/m) 1 0.05 0 n/a 2...

Homework Statement Two carts collide. Cart A has a mass of 300 Kg and a velocity of 24 m/s. Cart B has a mass of 100 Kg and is stationary. Both carts have 20 m springs on them. Assume that the two carts exert no force on each other until the springs touch at a separation of d= 40 m, and...

Homework Statement A Mass, M, is at rest on a frictionless surface, connected to an ideal horizontal spring that is unstretched. A person stretches the spring 30cm from equilibrium and holds it at this location by applying a 10N force. The spring is brought back to equilibrium and the mass...

What I have given is: A projectile with an unknown mass is launched 90 degrees vertically to a height of 0.650 m with a spring deformation of x = 0.031 m. The initial speed of the projectile is v0=3.6 m/sec and the projectile is resting on top of the spring gun "holder" before launch. Find the...

Objects of equal mass are oscillating up and down in simple harmonic motion on two different vertical springs. The spring constant of spring 1 is 186 N/m. The motion of the object on spring 1 has 3 times the amplitude as the motion of the object on spring 2. The magnitude of the maximum velocity...

For these questions I use a problem solving method known as GUESS. G-given, U-unknown, E-equation, S-solve, S-solution A spring of spring constant of 25 N/m is attached to different masses, and the system is set in motion. Find the period and frequency of vibration for masses of the...

Can the spring constant "k" be negative ? Hi, I found a difficulty when solving this problem from my textbook : In the arrangement of Figure 7-11 (which is basically a standard block attached to spring resting horizontally), we gradually pull the block from x = 0 to x = +3.0 cm, where it is...

Homework Statement A Certain potato "canon" consists of a 1.2 m tube with a thin platform inside. The Platform has a negligible mass and is attached to a spring. The spring is 20 cm long when relaxed, and the spring is compressed to a final length of 5 cm when ready to launch a potato. A potato...