Spring Definition and 999 Threads

Homework Statement You are in a spaceship far from any other objects, and you want to build a clock. You decide to build your clock out of a spring with a mass attached to it. You use a spring with spring constant k = 138 N/m, and you initially displace the mass a distance x=25.0 cm from...

Hi all, In short: For an air leg or air spring, there is a method using a Taylor approximation to find the spring constant for very small displacements, but I can't seem to figure out how it works. I've learned that air legs don't follow Hooke's law very much at all, except for when the...

Homework Statement 2 masses are connected by a spring. They are on a frictionless plane inclined relative to the horizontal by ##\alpha##. The masses are free to slide, rotate about their center of mass, and oscillate. 1. Find the Lagrangian as a sum of the Lagrangian for the COM motion and a...

Why is the rate of change of potential energy always same the rate of change of kinetic energy in a mass spring system? Additiinally, How do we determine the rate of change of potential energy in such case?

Why is the kinetic energy vs time curve of a mass spring system is just a modulus of respective velocity time curve. How can we prove it mathematically ?

Suppose you have a perfect spring. By that I mean a spring that experiences no friction whatsoever, even internal, and that there is no elastic limit. Thus it obeys Hooke's law perfectly. Its own weight is negligible, and there is a point mass attached to the end of the spring. Now, the spring...

Moderator's Note: HOMEWORK POSTED IN WRONG THREAD, SO NO TEMPLATE Thread title changed to make it descriptive of the problem. can i solve this question using energy conservation method as shown.

So I am doing tensile testing on an elastic electrical lead for biomedical purposes. The lead is encapsulated in an elastic tubing. Now the lead acts like a weak spring itself (coiled wire). I'm curious, if there are two springs with different k constants "within" each-other (one inside the...

Homework Statement A 342-g mass is attach to a spring and undergoes SHM. Its max accelerations is 18.6m/s^2 Its max velocity is 1.75m/s Homework Equations x(t)=Acos(wt) x'(t)=-wAsin(wt) x''(t)=-w^2Acos(wt) w=sqrt(k/m) The Attempt at a Solution I essentially derived these equations and have...

Homework Statement In a "worst-case" design scenario, a 2000-kg elevator with broken cables is falling at 4.00 m/s when it first contacts a cushioning spring at the bottom of the shaft. The spring is supposed to stop the elevator, compressing 2.00 m as it does so. During the motion a safety...

Homework Statement I've gone though a material selection process to pick the optimum material for a rear leaf spring suspension for a vehicle (~700mm long) and I've selected the top 10 materials based on fatigue, fracture, toughness, cost, yield etc: -Stainless steel, martensitic, AISI 440B...

I came across with this question in my work. A stretched spring has greater energy and therefore greater mass than an unstretched spring. What's the mass increase when you stretch a spring with 500N/m by 40cm? My question is How mass can increase with stretching of the spring? As per...

Homework Statement "A 1.50 kg object hangs motionless from a spring with a force constant of k = 250 N/m. How far is the spring stretched from its equilibrium length?" Homework Equations F = -kx W = mg The teacher said to call the force the spring pulls up with FT. The Attempt at a Solution...

Homework Statement When a mass m sits at rest on a spring, the spring is compressed by a distance d from its undeformed length. Supposed instead that the mass is released from rest when it barely touches the undeformed spring. Find the distance D that the spring is compressed before it is...

Homework Statement A 2 kg block collides with a massless spring of spring constant 94 N/m attached to a wall. The speed of the block was observed to be 1.4 m/s at the moment of collision. The acceleration of gravity is 9.8 m/s 2 . How far does the spring compress if the surface on which the...

I am NOT a physics major and clueless to figure out the strength of a custom spring I need to be made. I was hoping someone could help me, either with figuring it out, or turning me to someone/site that may be able to help. Here's the sitch': The spring is for a center kick-stand on a bicycle...

1. The problem statement, A spring of stiffness q and natural length l0 is fixed at one end to a point x = 0, y = l0 and at the other end to a mass m that is constrained to move horizontally and displaced through a horizontal distance x. The length of the string in this position is l. 1. For x...

I just wanted to confirm whether the idea I have about vertical springs is correct or not. Suppose you have an ideal (massless) spring oriented vertically, and suspended from a block in the air, which in turn is mounted on a stand and placed on a desk. The distance from the desk (or the base of...

Homework Statement A 5.0-kg block suspended from a spring scale is slowly lowered onto a vertical spring. Part A: What does the scale read before the block touches the vertical spring? (answer =49.1N) Part B: If the scale reads 32 N when the bottom spring is compressed 30 mm, what is k for...

I'm doing some spring endurance test. If the spring is exceeding its cycles limit and causes fatigue failure, how normally the spring constant changes? For example, after the expected limit cycles (lets say 2million load-unload cycles), will the spring constant gradually decreases? or...

Homework Statement From Fetter and Walecka 5.1:[/B] Consider the compound pendulum in FIg 28.1 (mass M, moments of inertia Iij relative to the center of mass, which is a distance L from the point of support Q) but with Q attached to the bottom of a vertical spring (force constant k) and...

Homework Statement Question :- A block of mass ##5 kg## is attached to a spring. The spring is stretched by ##10 cm## under the load of the block. A impulse is provided to the block such that it moves up with a velocity of ##2 m/s##. Find the height it will rise. Homework Equations ##F_s =...

Homework Statement The separation between energies of an oxygen molecule is 2061 cm-1 (wavenumber). Treating the molecule as a simple harmonic oscillator whose fundamental frequency is related to its spring constant and reduced mass, calculate the spring constant for an O2 molecule. meff =...

Homework Statement In the beginning a point mass is rotating in a circle of radius L. The spring is providing the centripetal force (\vec{F}=-k\vec{r}) and the mass rotates with constant speed. At some point in time, a stick of radius a (a<<L)lands near the center of the circle in such a way...

Homework Statement A ball of mass 620 g hangs from a spring whose stiffness is 115 Newtons per meter. A string is attached to the ball and you are pulling the string to the right, so that the ball hangs motionless, as shown in the figure. In this situation the spring is stretched, and its...

1. Homework Statement A particle of mass m is attached to the end of a light spring of equilibrium length a, whose other end is fixed, so that the spring is free to rotate in a horizontal plane. The tension in the spring is k times its extension. Initially the system is at rest and the...

Homework Statement [/B]A simple harmonic oscillator consists of a block of mass 2.00 kg attached to a spring of spring constant 100 N/m.When t =1.00 s, the position and velocity of the block are x =0.129 m and v =3.415 m/s. (a) What is the amplitude of the oscillations? What were the (b)...

Homework Statement A force of 10 Newtons can stretch a spring by 0.04 m. Suppose a mass of 5 kg is attached to the lower end of the spring. We stretch the mass downward by 0.05 m from its equilibrium position and release it from rest. Determine the position of the mass relative to its...

Homework Statement A crate of mass m = 0.29 kg is set against a spring with a spring constant of k1 = 581 N/m which has been compressed by a distance of 0.1 m. Some distance in front of it, along a frictionless surface, is another spring with a spring constant of k2 = 246 N/m. (a) How far, d2...

Homework Statement The system is a spring with constant 3k hanging from a ceiling with a mass m attached to it, then attached to that mass another spring with constant 2k and another mass m attached to that. So spring -> mass -> spring ->mass. Find the normal modes and characteristic system...

Homework Statement Find the Lagrangian for the double pendulum system given below, where the length of the massless, frictionless and non-extendable wire attaching m_1 is l. m_2 is attached to m_1 through a massless spring of constant k and length r. The spring may only stretch in the m_1-m_2...

(Moderator note: moved from technical forums, so no template) Does anyone know how to answer this question? A 1 meter spring lies horizontally on a table. You hang it vertically being held by one of its ends. Because of the mass of the spring itself it now extends to 1.1 meter. You hang a...

Homework Statement As shown in the figure below, object A (mass: m) is at rest on a smooth, horizontal surface, and a lightweight spring that compress / stretches in the horizontal direction is attached to it. Object B, which has the same mass m, approaches A from the left side with speed v and...

Imagine that we wanted to build a slingshot, using one piece of rubber attached to two hooks - each on a side. We use a rubber, whose spring constant is k. My questions are: 1. If we began to string that slingshot and the rubber would begin to fold, what would happen with the string...

Homework Statement A body of mass M is connected to a vertical spring.Another body of mass m is placed on it.Calculate the amplitude of the oscillation of that system,with the condition that the body m always stays on top of body M(no jumps).No friction. Homework Equations mg=kx mgh=0.5kx2...

Homework Statement "In Fig. 8-40, a block of mass ##m=12kg## is released from rest on a friction-less incline of angle ##\theta=\frac{\pi}{6}##. Below the block is a spring that can be compressed ##\frac{1}{50}m## by a force of ##270 N##. The block momentarily stops when it compresses the...

1. Homework Equations // Tension of the spring // Where sinL between `bottom right` of the spring and the bar Ft = sinL * kx // Where x0 is the initial length of the spring Ft = sinL * k(x - x0) // Force of gravity Fg = -mg // Find x0 // sqr = square root x0 = sqr(100^2 + 100^2) //...

Homework Statement A block of mass m is placed inside a box of mass M , which is then hung from a spring with spring constant k. The system is pulled down some distance d and released at time t =0. Determine the reaction force between the block and the bottom of the box as a function of time...

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 Given three spring scale readings, positioned at unknown angles, find the mass of the weight hanging from all three scales without using trig, and without measuring the angles. You have only a yard stick. This is a static equilibrium problem. Homework Equations Not allowed...

Here I want to analyse the force imposed on m1 and m2 while using the second Newton law. The top view of the system shows like below, thus gravity force is not considered, m2 can only move along the vertical line, and one torsion spring link m1 and m2. The length between m1 and spring is L...

Hello Guys, I'm building a vertical wave machine. I have a big bearing [2] (more like an eccentric) which is rotating by an electric motor with a constant speed of 0.359 rad/sec. When 3/4 of the bearing touches bearing [1] it supposed to rotate it a 1/4 turn, which as a result the ladder with...

Homework Statement Homework Equations The response of a spring mass system can be simplified to equal: x(t) = (x0 - (F0 / (k - mω2))cos(ωnt) + (x'/ωn)sin(ωnt) + (F0 / (k - mω2))cos(ωt) where x & x' are the initial conditions ω is the exciting frequency ωn is the natural frequency k is the...

Homework Statement Homework Equations Standard physics equations before forces are introduced into kinematics The Attempt at a Solution I simply looked at Chegg and could not figure out how a = 400 - kx when logic dictates that a = 400 - kx/m , since this is possibly a sum of...

I have read that Young's Modulus, like spring constant, is a measure of stiffness (how hard it is to deform a material). Though apparently, Young's Modulus is a way of doing so that applies only to the material and not its shape, where a spring constant value depends on the dimensions of the...

I accidentally posted over in general questions before seeing that wasn't the proper place for this type of question. I'm not looking for the answer, as I have that available. I'm just trying to understand part of the process here. Question: At a waterpark, sleds with riders are sent along a...

A mass-spring system is in free vibration after an initial excitation. There are no outside forces acting on the system. What is the value of the spring stiffness k (units of N/m; round your answer to a single decimal place)? Mass m = 0.6 kg Amplitude A = 0.4 Using this equation: z(t) = A sin...

Homework Statement Find the maximum compression in the spring, if the lower block is shifted to rightwards with acceleration of '##a##'. All the surfaces are smooth. Homework Equations $$\vec{F}=m\vec{a}$$ $$\vec{F}_{sp}=k\vec{x}$$ The Attempt at a Solution FBD of the upper block: From...

Homework Statement At t = 0 seconds, the position of the oscillator is found to be -27.33 cm and the velocity of the oscillator is +0.744 m/s. What is the amplitude of the oscillation?[/B]Homework Equations position/time equation for oscillation: x(t) = Acos(wt + phi ) for velocity: v(t)...

Homework Statement A spring of negligible mass has force constant k = 1800 N/m . You place the spring vertically with one end on the floor. You then lay a 1.30-kg book on top of the spring and release the book from rest. Find the maximum distance the spring will be compressed. Homework...