Spring Definition and 999 Threads

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  1. 1

    Lagrangian of 2 rotating masses on a spring, sliding down plane

    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...
  2. A

    Potential energy in a Mass spring system

    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?
  3. A

    Energy changes in mass spring system

    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 ?
  4. A

    Does a perfect spring oscillate forever in gravity?

    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...
  5. surya teja saithana

    Torsional spring and maximum velocity of wheel

    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.
  6. L

    Two Springs & Hooke's Law: Effect on Elastic Electrical Lead

    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...
  7. U

    A 342-g mass is attach to a spring and undergoes SHM.

    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...
  8. T

    Work / Energy Elevator / Spring Problem

    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...
  9. mattyboson12

    Material selection for vehicle leaf spring

    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...
  10. M

    I Stretched spring and change in mass

    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...
  11. Hoophy

    Summing the forces for an object hanging from a spring.

    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...
  12. J

    Solve Masses on a Spring: Compression Distance D vs d

    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...
  13. J

    How Far Will the Spring Compress in a Frictionless Collision?

    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...
  14. N

    Torsion spring calcualtion for 12 ounces of weight

    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...
  15. MalachiK

    How Does Horizontal Force on a Constrained Mass Change with Displacement?

    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...
  16. A

    What equilibrium distance to use for E of a vertical spring

    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...
  17. E

    What is k for the bottom spring?

    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...
  18. T

    How to tell if a spring is fatigue, creep or degrade?

    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...
  19. A

    Finding the force of constraint--compound pendulum on spring

    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...
  20. B

    Height of the rise of the object attached to the spring ?

    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 =...
  21. adamaero

    Given wavenumber find spring constant harmonic oscillator

    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 =...
  22. VMP

    Point mass rotating about a pole with a spring

    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...
  23. kdunkzz

    What would be the relaxed length of the spring?

    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...
  24. S

    Equations of Motion of a Mass Attached to Rotating Spring

    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...
  25. Dusty912

    Simple Harmonic Oscillator: Mass Spring System

    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)...
  26. Kanashii

    Position of Mass (Spring Mass Sytem)

    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...
  27. MattNguyen

    Physics spring/crate hits another spring problem

    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...
  28. BiGyElLoWhAt

    Help with coefficients matrix in spring system

    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...
  29. J

    Lagrangian of a double pendulum system (with a spring)

    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...
  30. L

    Understanding the Spring Constant: Solving a Practical Problem

    (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...
  31. S

    Speed of object after collision related to spring

    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...
  32. C

    B String constant of a folded and a cut up rubber

    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...
  33. Z

    Two bodies on elastic spring system

    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...
  34. Eclair_de_XII

    How to calculate work done on spring from object on slope?

    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...
  35. D

    So the title could be Finding Equilibrium in a Mass Spring System with Torque

    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) //...
  36. Elvis 123456789

    Mass within a box hung from a spring

    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...
  37. Elvis 123456789

    Determining angular frequency and amplitude for SHM

    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...
  38. merricksdad

    Determining mass of a weight on a three spring scale setup

    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...
  39. R

    Equations about this torsional spring and movements

    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...
  40. H

    Help designing bearing influenced by spring

    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...
  41. W

    Finding the total response of an undamped spring mass system

    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...
  42. Haizakokaru

    Spring Dynamic Kinematics - acceleration

    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...
  43. Metals

    Difference between Young's Modulus and spring constant?

    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...
  44. G

    How Does the Direction of Spring Force Affect the Calculation of Work Done?

    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...
  45. C

    Value of Spring Stiffness k in Free Vibration of Mass-Spring System

    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...
  46. D

    Maximum compression in the spring

    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...
  47. tensor0910

    Finding amplitude of oscillating spring; x(t) and v(t) given

    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)...
  48. ChloeYip

    Find the maximum distance the spring will be compressed?

    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...
  49. moenste

    Body on a spring: expression for the period T

    Homework Statement (a) A body of mass m is suspended from a vertical, light, helical spring of force constant k, as in Fig. 1. Write down an expression for the period T of vertical oscillations of m. (b) Two such identical springs are now joined as in Fig. 2 and support the same mass m. In...
  50. physicaled

    Solve Spring Constant Homework Confusion

    Homework Statement The question is "Imagine you are told after performing your experiment that the weights in your weight set are incorrectly labeled, and weigh less than you thought. Does that mean the value you determined for the spring constant is wrong? If so, is your value too high or too...
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