What is Spring: Definition and 999 Discussions

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  1. hello478

    Help needed in this problem involving a spring and energy balances

    i do know how to do the working but i dont understand the concept stated above...
  2. JackLee

    Find the force acting on the roller in the direction of the spring

    A torque meter with a triangular slab extension is inserted into a corresponding triangular slot. The C-shaped arm features a V-shaped dent on which a roller is seated. This roller is held in compression by a spring. The roller's positions are labeled '0' for the initial state and '1' for the...
  3. I_Try_Math

    Vertical Mass Spring System | Analyzing work

    Is there a typo in this question? Supposing there was no friction, the block would fall until the force of the spring was equal to ##mg = 2 * 9.8 = 19.6##, taking the upward y direction as positive. Since ##F_{spring} = -200y## and ##19.6 = -200(-0.098)##, the block would fall 9.8 cm. It's not...
  4. D

    I Derivation of the Work done by spring force -- why do we substitute the force magnitude?

    i'm copying from the book... Hookes Law - F = -kx W = Fdcos∅ since ∅ is 180°, W = -Fd = -Fx W = ∫(-Fxdx) now the book says, from Hookes Law equation "the force magnitude F is kx. Thus, substitution leads to W = ∫(-kxdx)" why are they saying to substitute the magnitude of the force and not the...
  5. M

    Mass on a spring from equilibrium

    Can someone explain that, when using the formula (Fs=1/2 kx^2) why do we use x=0.1m instead of 0.05m? Seems like a simple concept but why isn't it 0.05m (since 0.05m from equilibrium). Thanks.
  6. Argonaut

    Spring Problem Involving Variables and Constants Only

    Here is my attempt at the solution: a) The apparatus may only experience acceleration ##a > g## while in contact with the spring. Since the spring exerts the greatest force when it is the most compressed, the apparatus will undergo the greatest acceleration at that point. So Newton's second...
  7. MatinSAR

    Spring with mass hangs from the ceiling

    I know that we can answer it using conservation of energy or using N's 2nd law. Using N's 2nd Law: ##F = mv \frac {dv}{dx}## ##Fdx = mvdv## For spring we have : ##F=-kx## ##(mg-kx)dx=mvdv## We'll get same result using above equation. My question: Average spring force from 0 to x is ##-\frac...
  8. JMAMA

    Hooke's Law using Potential Energy

    Max speed occurs when all energy has been translated from spring into box. E (Potential) = 1/2kx^2 E (Potential) = (1/2)(42 N/m)(0.280 m)^2 = 1.6464 N m Ep = Ek =1/2mv^2 1.6464 N m= 1/2 (1.2 kg) v^2 v = 1.6565 m/s
  9. DarkEnergy890

    What is a spring constant of 20 N/m used for?

    In my physics lab we determined the spring constant of a steel spring. This turned out to be 20 N/m. However, when I search online, I can't see any uses of springs - I know springs can be used everywhere, but nobody seems to specify their spring constant. Anyone know of any applications?
  10. S

    Modelling a spring system with damping force and external forces

    I think its critically damped by looking at the graph of the solution.
  11. E

    Calculating the Energy Absorbed by a Spring in a Car Suspension System

    I approach this by considering the four springs in parallel each with spring constant ##k## as one spring with four times the spring constant ##k' = 4k##. The car is dropped and at the moment its tyres touch the ground I assume that the spring is in its resting position. As the car continues to...
  12. M

    Free vibration in 2DOF spring mass systems

    I am completely new to this subject and I am trying to find out how I read data off a displacement vs time graph to find the natural frequencies and mode shapes. Lecturer hasn't provided any materials on graphs, just looking for some help and where to go so I can understand it. Thank you
  13. RobbyQ

    I Mass, Energy and a compressed spring

    If I take a spring with clamps and I weight that system accurately. Then I compress the spring and clamp it thus giving it potential energy. If I now weigh the clamped spring I should see an increase in mass because of the added energy. Is this the case and something that could be proved in the...
  14. A

    I Is Hooke's law really not working, or is it me being dummy?

    Hello everyone, I'm a new member, and you might see me around from now on. I'm now on a path to understanding the mathematics behind a complicated mechanical machine. My knowledge is basically what I learned during my school days and also during university courses, and for me, it was mostly...
  15. J

    B Force transition through spring

    We put object on weight ang get a mass. What would that mass be if we put a spring between object and weigt, so that the spring woul shrink to half its original size?
  16. Slimy0233

    I Force on Body Attached to Spring at Displacement x - A.P. French

    Source: A.P. French's Vibrations and Waves I do not recognize the first equation, can someone explain how it came to be? The reasoning behind it. How can force on a body attached to a spring at small displacement x be represented as ? I know recognize F = - kx (restoring force) I realize...
  17. E

    Work done pushing a spring from the side

    My question is whether I've formed the integral for the work done correctly? It just seems a bit unwieldy to me... If I call the extension of the spring ## x ##, I can see that ## z = \frac l 2 + x ## and ## z^2 = \left( \frac {l} {2} \right)^2 + y^2 ##. Combining them gives: $$ x = \sqrt {y^2...
  18. Xiothus

    Solve First Year Harmonic Motion Problem: Cylinder Rolling

    Thank you guys for taking the time to read this - I'm decently struggling with first year and need some tips on how to properly conceptualize problems and learn what the right approach is on certain problems. Have a wonderful day, again thank you for checking this post out!
  19. S

    Engineering The value of "k" for spring constant, is the book answer incorrect?

    There is some discussion currently and I was hoping to get some opinions here. The question is in regard to a Hook's law problem. The text gives the problem as seen below. The text says the answer is 50lb/in. Several people have tried from several different approaches. Factoring the "y" equation...
  20. sHatDowN

    Vector sample problem -- Force components on a spring mechanism

    Determine the amount and type (tensile or compressive) of the spring force so that the resulting force is a vertical force. Also get the resultant force. i find 60N (compressive) and resultant forces is 10800 is that correct?
  21. L

    Find speed of block using energy and spring equations? Help please

    So here's what I did but it isn't right: W = (Kf + Uf) - (Ki + Ui) (2.6)(9.81)(0.45)(-0.01)=(1/2mvf^2 + 1/2kxf^2) - (1/2mvi^2 + 1/2kxi^2) -0.1 = (1/2(2.6)(vf^2) + 1/2(855)(0.02^2)) - (1/2(855)(0.03^2)) 1.3Vf^2 = 0.114 Vf^2 = 0.09 Vf = 0.3 m/s
  22. B0B

    B Finding the spring constant of a rope

    The 7/8" Kinetic Recovery Rope like this yankum rope is the most common size used for Jeeps, Broncos, and other SUVs. I apologize for English units but that's how ropes are sold and marketed. I've talked to the biggest rope suppliers and they have no idea how to compute the rope's spring...
  23. paulimerci

    Two carts are forced apart by a compressed spring

    It's an explosion problem. When two carts are pulled apart, the bigger one takes longer than the smaller one. So the velocity of the bigger one is small, and the velocity of the smaller one is large, and they are opposite each other. So the momentum before the explosion must be equal to the...
  24. P

    Tension in a spring that's bent into a semicircle

    Is this even solvable? I don't know where to begin.
  25. C

    Differentiating the equation for the mechanical energy of a spring

    Why when we differentiate ## E = \frac {1}{2}mv^2 + \frac {1}{2}kx^2 ## with respect to time the answer is ## \frac {dE}{dt} = mva + kxv ##? I though it would be ##\frac {dE}{dt} = ma + kv ##. Many thanks!
  26. N

    Proving SHM for charged spring mass system in electric field

    For part (f) Solution is I don't understand why the bit highlighted in yellow is true. Would anybody be kind enough to help.
  27. LowBlackFast

    Automotive Spring and damper on rocker

    Can someone help me evaluate an idea that I have? I'm investigating the idea of placing a very progressive pull spring and a digressive shock on a rocker to control the timing and rotation of an axle. I could be way off, but here's the scenario in my head. Both shock and spring are being...
  28. uSee2

    Pan suspended by a spring (Energy + SHM)

    I have successfully completed parts A, and B, however, I am confused on Part C. Here was my attempt and the answer key's attempt: My attempt: Since I correctly knew the speed after the collision, and the gravitational potential energy after the collision if I set h=0 at when it was at rest...
  29. paulimerci

    Find elastic energy in the compressed spring.

    a) Elastic potential energy stored in the compressed spring is written by, where k =400N/m, compressed spring distance x = 0.5m $$ U_g = \frac {1}{2}kx^2$$ $$ U_g = 50J$$ b) When block C is compressed, it has stored spring PE and when it is released, the block accelerates to the right, where it...
  30. abdulbadii

    The linear spring having even forcing pull/push

    How do we have linear spring direction (mostly a spherical spring) to have pull/push force evenly across some points within a range? Or is it possible to create spring material with anomaly property capable of performing so?
  31. josevie

    Why is my method for finding the spring constant incorrect?

    It is to my understanding that if the spring was compressed 10cm, it is due to the Work of the Weight Force of the stone. So: Work done on the spring by the stone = m.g.x = 7.84 J The work done on the spring will be stored as potential energy of the spring, so: Us = W Us = (1/2).k.x² k =...
  32. T

    Total force from air spring model (double acting piston)

    Hi everyone, I'm an electrical engineer working on making a linear model for a power take-off system. I've gotten inertial, friction, and hydraulic/electric components done, but what is really confusing me is the gas system; I haven't taken ANY thermodynamics. To simplify it, it is modeled as a...
  33. U

    Spring first natural frequency and hysteresis

    Could anyone help me with some info on compression helical springs. First I would like to know if this type of spring would even have any appreciable histeresis when new, and if so does it does it grow with repeted use and age. I would also like to know if there is any relationship beteen the...
  34. G

    Micro Spring (DNA): Determine Energies, Find Expected Length

    Hi It is about a DNA strand on which there are always two segments, the segment ##A##, which is folded and has the length ##l_A## and the unfolded segment ##B##, which has ##l_B+\lambda##. Here is a section of the DNA There is now, as shown in the picture, a force ##F## pulling on the...
  35. Differentiate it

    The kinetic energy of a spring

    I tried just using the formula for kinetic energy but that was apparently the wrong answer. The answer key says it's (1/6)mv². I don't understand how they got that answer. Could someone explain?
  36. Elaren

    Final velocity of a block on a spring pulled downhill

    Note: wording is ambiguous so I assumed spring started from equilibrium, in which case it stretches as we go downslope. Final height (at lower point on slope) is 0. Distance along slope = Distance the spring stretches = d= ##s_f## = ##2/cos{\theta}## =2.13 Height change = h = ##2 tan{\theta}##...
  37. H

    I Predicting the spring constant theoretically

    I take a wire of metal X which has a diameter d. Let the total length of it be L and I roll it around a cylinder with diameter D to create a spring. Is it possible to predict the spring constant of this system (and relate it to the elastic constants of the metal)? Has anybody seen/heard/know a...
  38. Gustavo Reis

    I Air Resistance: Exploring Hooke's Law

    Basically the air works like a spring, it always tries to get back to its resting state. And it's like Hooke's law, the more it deforms the more elastic potential energy it has. That's why the faster you are, the air resistance is greater. Thinking in this way, I imagine that in fluid mechanics...
  39. andris0110

    Vertical Spring System (Lagrangian)

    I am trying to solve this and get the equations of motion using the Lagrangian method. I could do all the steps but the equations (especially the third one) seems..weird. What am I doing wrong? Sorry if the equations aren't in their simplest form, they are pulled straight from Wolfram...
  40. J

    Pushing on a spring connected to a block

    For the second force with the spring, I know the spring force will exert a force back on my hand, for example, but I'm confused whether the applied force is transmitted unchanged to the block or whether it will decrease because of the opposite spring force. What happens to the block when the...
  41. Ollz

    2 blocks and a spring, SUVAT and F=ma

    I have calculated the acceleration of truck B from v=u+at as 5ms/s. The force applied to truck B is therefore 5x10=50N. I am unsure whether this question is poorly worded, but I feel a reasonable assumption is that the force applied to truck A would be the same as truck B, without knowing its...
  42. J

    Elevator falling and bouncing back from a spring

    I don't understand the difference between part c and d. After compressing the spring, the elevator bounds back and moves before coming to rest in both cases. What is the difference? Thank you.
  43. J

    Why is the height of the table not necessary to solve this problem?

    Ki + Ui = Kf + Uf 1/2)kx2 = (1/2)mvf2, but W = (1/2)mvf2 = F∆d, so 1/2)kx^2 = F∆d. The solution says that I should just substitute v as d/t. But could anyone explain why my reasoning is wrong? Thanks.
  44. MatinSAR

    Mass on a Spring semi-submerged in a liquid

    Hi , Can someone tell me wether my answer is corrrect or false ?
  45. S

    Derive angular frequency for mass spring system

    tried writing the x position as x = Acos(wt) (ignoring the phase) so that d2x / dt2 = -w2x Substituting that into the individual motion equations would get the required result for the individual masses, but I am not sure how to combine the equations to get the reduced mass
  46. Elementard

    Force of spring equation problems

    m=6.00Kg K=145N/m a=1.80m/s Fp=Fs ma=-kx (6)(1.8)=-(145)x x=-0.0745m I’m just wondering why I see some people make Fs=kx instead of -kx? isn’t the force of a spring a vector?
  47. Sangari Indiraj

    I Questions about a spring and its principle

    Summary: I am confused in when to use 1/2 e squared k we studied in class that normally, the extension of the spring is directly proportional to the tension applied and we did this question : what is the work that has to be done for a spring to have an extension of length e as the area of the...
  48. Rikudo

    What Determines the Direction of Motion in a Plank and Spring System?

    I don't understand the question. If it want the mass to stop and reverse its direction, then does that not means ##vo## can be anything? (obviously not 0 since it will make the system not moving at all).
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