What is Springs: Definition and 676 Discussions

Hot Springs is a resort city in the state of Arkansas and the county seat of Garland County. The city is located in the Ouachita Mountains among the U.S. Interior Highlands, and is set among several natural hot springs for which the city is named. As of the 2010 United States Census, the city had a population of 35,193. In 2019 the estimated population was 38,797.The center of Hot Springs is the oldest federal reserve in the United States, today preserved as Hot Springs National Park. The hot spring water has been popularly believed for centuries to possess healing properties, and was a subject of legend among several Native American tribes. Following federal protection in 1832, the city developed into a successful spa town. Incorporated January 10, 1851, the city has been home to Major League Baseball spring training, illegal gambling, speakeasies and gangsters such as Al Capone, horse racing at Oaklawn Park, the Army and Navy Hospital, and 42nd President Bill Clinton. One of the largest Pentecostal denominations in the United States, the Assemblies of God, traces its beginnings to Hot Springs.
Today, much of Hot Springs's history is preserved by various government entities. Hot Springs National Park is maintained by the National Park Service, including Bathhouse Row, which preserves the eight historic bathhouse buildings and gardens along Central Avenue. Downtown Hot Springs is preserved as the Central Avenue Historic District, listed on the National Register of Historic Places. The city also contains dozens of historic hotels and motor courts, built during the Great Depression in the Art Deco style. Due to the popularity of the thermal waters, Hot Springs benefited from rapid growth during a period when many cities saw a sharp decline in building; much like Miami's art deco districts. As a result, Hot Springs's architecture is a key part of the city's blend of cultures, including a reputation as a tourist town and a Southern city. Also a destination for the arts, Hot Springs features the Hot Springs Music Festival, Hot Springs Documentary Film Festival, and the Valley of the Vapors Independent Music Festival annually.

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  1. T

    Mechanical Motion of Springs Differential Equations

    Homework Statement The Attempt at a Solution So I've been interpreting the information in the problem as follows: F_{damping} = 4u' = μ(u'), k = \frac{4N}{m}. If the system is critically damped then μ = 2\sqrt{km} = 2\sqrt{\frac{4N}{m}m} = 2\sqrt{4N}. Now it seems as though the spring...
  2. M

    Collision of Two Carts with Springs Attached

    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...
  3. O

    Action of co-circular springs on a point mass

    This problem is actually a simplification of something seen in a data visualization tool. I think it is interesting in that it can be "translated" to a Hooke's Law problem. Unfortunately, I am not sure how to proceed... Suppose I have a point mass tethered to several springs. The springs are...
  4. M

    Simple Harmonic Motion and Springs

    An object of mass m is supended from a vertical spring of force constant 1269 N/m. When the object is pulled down 0.068 m from equilibrium and released from rest, the object oscillates at 10 Hz. The mass of the object is ____ kg. τ= 2∏*sqrt(M/K) M = mass K = spring constant 1/f = τ...
  5. W

    Veriticle springs; period and mass?

    Homework Statement Information provided is: mass of spring, displacement, force of constant, gravity. so basically: m, x, k, and g Determine the relationship between the period and mass so how do i find T? Homework Equations T= seconds/cycles T= 2π(sqrt(m/k)) The Attempt at...
  6. 9

    Two oscillating masses on springs in one dimension

    I can't make this question work, so I'm hoping that someone here will be able to help guide me towards a solution. I began with F=ma, and wrote down the equations of motion for each of the masses. a) 2mx..1 = -kx1 -k(x1 -x2) and b) mx..2 = -kx2 +k(x1 -x2)Then I added b to a, and subtracted...
  7. D

    Pendulum with two springs and a stick

    Homework Statement A pendulum consists of a stick of length L and mass M that is pivoted about its center, and attached to a pair of springs of stiffness k. As shown in attached pic, the springs are symmetric about the pivot, and the distance between them is l. a) Find the natural...
  8. C

    Two springs and the energy question

    Homework Statement A horizontal slingshot consists of two light, identical springs (with spring constants of 24.1 N/m) and a light cup that holds a 1.21-kg stone. Each spring has an equilibrium length of 50 cm. When the springs are in equilibrium, they line up vertically. Suppose that the...
  9. A

    Angular frequency of a mass between two springs.

    Homework Statement A mass M is suspended from the ceiling by a spring with spring constant k, and from the floor by a spring with spring constant 3k. Find the frequency of the mass' oscillation. Homework Equations F=ma The Attempt at a Solution F(net) = Mg + kx - 3kx = Mg - 2kx performing...
  10. A

    SHM of a mass with 4 springs

    Homework Statement The mass is connected to 4 springs, each connected to a corner of a square with sides √2 a. The springs have spring constants k and natural length a/2. Show the frequency of the mass when it is displaced by d << a towards one of the corners is √(3k/m) Homework...
  11. T

    Arrangements of Springs and Extension

    Homework Statement http://www.xtremepapers.com/CIE/International%20A%20And%20AS%20Level/9702%20-%20Physics/9702_s05_qp_1.pdf (not sure how to post the picture directly..) Number 20 Homework Equations F=kx 1/(n springs) weight is supported if parallel n if in series The Attempt at a Solution...
  12. S

    Modification of hooke with funky springs and evaluation

    I am having an argument with a co-worker about the solution to this. There is a 4ft sq sheet of plywood with an 18" wide rubber band stretched across it. To measure the spring constant (stiffness) of the rubber band a 6" diameter circular metal plate is slipped under the center of the rubber...
  13. C

    Two springs from the ceiling attached to one mass, least energy principle

    [b]1. Suppose have a ball connected to a spring on each end – one with constant k, and the other with constant K. And suppose the springs are attached to the ceiling a distance d apart. Use energy minimization methods to determine the (x,y) coordinates of the mass in equilibrium – taking the...
  14. A

    I found this site because i have some ideasabout springs.

    i found this site because i have some ideas..about springs.
  15. Τ

    Differential Equation - Springs

    Homework Statement A spring with a spring constant k of 100 pounds per foot is loaded with 1-pound weight and brought to equilibrium. It is then stretched an additional 1 inch and released. Find the equation of motion, the amplitude, and the period. Neglect friction. Find the displacement...
  16. F

    Fatigue limits of leaf springs

    Hi to all. How would I go about calculating the fatigue limit of leaf springs? Is there an equation out there in the form of N, cycles to failure= f(variables, material properties) Or will I have to use the Stress equations for leaf springs and use that stress value and then...
  17. fluidistic

    Small oscillations, strange springs

    Homework Statement Consider 2 masses linked via 3 springs in this way |----m----m----| where the | denotes fixed walls and the ---- the springs. The length between the walls is 2L and the natural length of each spring is b=L/3. When we move a mass from its equilibrium position, each spring...
  18. J

    Dynamics: Max horizontal speed of a collar with three restricting springs

    Homework Statement A 1.2-kg collar C may slide without friction along a horizontal rod. It is attached to three springs, each of constant k 5 400 N/m and 150-mm undeformed length. Knowing that the collar is released from rest in the position shown, determine the maximum speed it will...
  19. A

    Lagrangian Mechanics for two springs (revisited)

    Homework Statement Essentially the problem that I am trying to solve is the same as in this topic except that it is for 3 springs and 3 masses https://www.physicsforums.com/showthread.php?t=299905 Homework Equations I have found similar equations as in the topic but I face a problem in...
  20. M

    2 springs attached by a rigid massless bar

    i am not a student i am 52 years old , and i am production engineering i like to solve some mechanics problems when i have time these problem i do not know how to solve thank you marcelo marcelo.stuhlberger@gmail.com
  21. O

    Finding the Period of a Mass Connected to Two Springs in Series

    Homework Statement EDIT: I have removed the second setup, since I solved it. I still can't figure out this one though. A mass m is connected to two springs, with spring constants k_{1} and k_{2}. The first setup has both springs connected in series, connecting the mass horizontally to the...
  22. J

    An object attached to three springs

    Homework Statement An object of mass m is attached to three springs each of springs contant k. If the object is pushed slightly towards one of the springs find the time period of the oscillation The springs are at equal angles from each other - which is 120 degrees. The other ends of...
  23. L

    Equation of motion of coupled springs

    Homework Statement A system is connected as follows, going vertically downwards: (ceiling)-(spring with constant k)-(mass 1)- spring with constant k)-(mass 2) Let x be the displacement from the equilibrium position of mass 1, and let y be the displacement from the equilibrium position of...
  24. P

    Parallel Springs subject to load

    Homework Statement A system of two springs is considered, with spring constants k1 and k2, arranged in parallel and attached to a massless rigid bar. The bar remains horizontal when no force on it is zero. Determine the equivalent spring constant (ke) that relates the force applied a distance...
  25. K

    Particle constrained by 4 springs SHM

    A point mass is constrained to move in the horizontal plane. It is attached to four fixed pegs by four light springs. The four pegs are arranged at the corners of a square of side a√2. Each spring has natural length a/2 and spring constant k. Show that the mass executes SHM with angular...
  26. S

    Springs and Strings: Doubly Compressed?

    In this question, doesn't the string pull on both A (downwards) and B (upwards)? So wouldn't the spring be doubly compressed? Does it matter whether or not B is fixed? Also I don't understand the line: "The spring force is greater than the gravitataional force of A. Thus this spring will not...
  27. D

    What Are the Normal Frequencies in a Three-Spring System with Masses m and αm?

    Homework Statement Two walls are positioned a distance of 3L apart. Three identical springs of rest length L and spring constant k are connected in series between the walls. Two particles of mass m and αm are positioned at the junctures of the springs, respectively. Write down the...
  28. D

    Two connected springs and potential energy as a function of x and y

    Homework Statement Two springs each of natural length a and spring constant C are connected at one end (see figure). Consider a two dimensional displacement given by (x, y) (a) Write the potential energy as a function of x and y. (b) Find the force vector for a given (x, y) pair...
  29. J

    Lab Problems with Simple Harmonic Motion in Springs

    Homework Statement During lab we measured the amount a spring was stretched when various masses where hung on it to verify Hooke's Law. We started with a 50 gram mass and then increased with 50 grams up until 350, for seven measurements. We then graphed the force and displacement. The lab...
  30. J

    Inematics of particles, motion on a friction less rod, springs

    Homework Statement a 12-lb collar is attached to a spring anchored at point C and can slide on a friction-less rod forming a 30 degree angle with the vertical. The spring has constant k and is unstretched when the collar is at A. Knowing that the collar is releasted from rest at A, develop...
  31. J

    Rotational & rolling energy, springs help

    Homework Statement There are a few, help with any would be appreciated. A 16,000 kg F-18 (jet fighter) lands at 52 m/s on an aircraft carrier, its tail hook snags the cable to slow it down. The cable is attached to a spring with a spring constant of 60,000 N/m. How far does the spring...
  32. M

    Conservation Force and Springs

    Homework Statement A block is on a frictionless incline. A block at the bottom of the incline is resting up the incline against a spring. The first block is released. The blocks stick and compress the spring. What is the common velocity immediately after collision?Homework Equations Kinetic...
  33. J

    Does the conservation of energy apply to springs releasing objects vertically?

    This is just a concept question. Say you have a spring arranged vertically with an object on the end of it. The spring is compressed.. At some point you, the system is released from compression. When calculating the velocity at which the object loses contact, I understand that you use the...
  34. L

    Lagrange equation (2 masses, 3 springs)

    Hi Homework Statement Look at the drawing. Furthermore I have a constant acceleration \vec g = -g \hat y I shall find the Lagrange function and find the equation of motion afterwards.Homework Equations Lagrange/ Euler function and eqauation The Attempt at a Solution I found out the...
  35. T

    Multiple problems dealing with springs and Hooke's Law

    Homework Statement A vertical ideal spring is mounted on the floor and has a spring constant of 132 N/m. A 0.80-kg block is placed on the spring in two different ways. (a) In one case, the block is placed on the spring and not released until it rests stationary on the spring in its equilibrium...
  36. T

    Finding angle of rod hanging by springs

    Homework Statement A uniform 1.4-kg rod that is 0.60 m long is suspended at rest from the ceiling by two springs, one at each end. Both springs hang straight down from the ceiling. The springs have identical lengths when they are unstretched. Their spring constants are 59 N/m and 39 N/m. Find...
  37. E

    Tension in springs (I don't know where 2 start)

    Homework Statement 1) a spring has an elasticity constant of 225 Newtons/meter. What is its restoring for when it's compressed of 20 centimeters ? 2) with what force must we pull a spring to pull 8 centimeters if its elasticity constant is 2 Newton/cm ? 3) we suspend a weight of 4.08...
  38. Low-Q

    Experiment with heated stretched springs.

    I have a spring made of steel. The spring is stretched out, and kept in that position. There is now potential energy in the stretched spring due to tension. If I heat the spring up to 700 degrees celcius, the tension in the stretched spring disappear, and when the springs cools down it is...
  39. V

    Finding the Normal Modes of a 3 mass molecule connected by springs

    Homework Statement Hi everyone! I'm trying to solve a problem involving 3 equal masses (m) arranged in a 45-45-90 right triangle, each mass connected to the other two by a spring, and all the springs have the same spring constant (k). So it should look like this: Where I have made a...
  40. J

    Oscilations of a linear chain of masses and springs

    Homework Statement A linear chain consists of N identical particles of mass m are connected by N+1 identical, massless springs with force constant k. The endpoints are fixed to walls on each side. In the static configuration each spring is stretched from its relaxed length l0 to a new length...
  41. G

    Hooke's Law & Springs: Nature or Manufacture?

    Are springs manufactured to obey Hooke's law, or do all springs just naturally obey this property?
  42. S

    A mass hung from two attached springs

    Homework Statement A light spring with constant k1 is hung from an elevated support. From its lower end a second light spring is hung, which has spring constant k2. An object of mass m is hung at rest from the lower end of the second spring. a) Find the total extension distance of the...
  43. M

    Springs are considered a non-conservative force why is the

    Homework Statement Quick conceptual questions: Is springs are considered a non-conservative force why is the mechanical energy conserved when a moving object compresses the spring? Homework Equations The Attempt at a Solution This isn't a homework question or anything but I...
  44. A

    2 springs @ 30 degrees supporting a mass

    Homework Statement A mass of 100g is supported by two identical springs of negligible mass having spring constants k= 50 dynes/cm. In the equilibrium position, the springs make an angle of 30 degree with the horizontal and are 100 cm in length. If the mass, m, is pulled down a distance of...
  45. A

    Pulling carts attached by springs

    Relevant equations: Newton’s 2nd and 3rd Laws. Hooke’s Law. A 4kg cart and a 6kg cart are connected by a relaxed horizontal spring with spring constant 100 N/m. You pull the 6kg cart with some constant horizontal force. After a time, the separation between the carts remains constant and the...
  46. D

    A mass attached to two springs with different k values

    Hey. Suppose a mass is attached to two springs, one on each side, and they have different values for k. If you wanted to measure the frequency, how would you add up the k values? Would it work as if they were in series, so 1/k = 1/k1 + 1/k2, or would it just be k = k1 + k2 like in parallel...
  47. S

    Rigid bodies and infinitely stiff springs ?

    Hi, guys! I've managed to implement a decent enough rigid body simulator for my 2D game using my sketchy high-school physics knowledge. Now I'm trying to pin some rigid bodies together. Connecting them with springs doesn't quite do the job. Too soft, the bodies drift apart. Too stiff, the...
  48. R

    Modelling non linear springs in abaqus

    Dear, First i modeled linear springs with abaqus: Model >> Assembly >> Engineering Features >> Springs/Dashpots >> Connect two points, In this way i can define just only the spring stiffness. So therefore i would like to define a non linear springs. I used the connecter builder >>...
  49. P

    Finding DE for Two Springs and a Damper in Series

    Hi all! I'm having a bit of trouble writing the differential equation that governs this mechanical system of two springs and a hydraulic damper in series. Since there is no mass present I believe the resulting DE will be a first order equation of the form Ax'(t) + x(t) = f(t), where f(t) is...
  50. L

    Frequency of an oscillating mass with springs in series

    Homework Statement A block on a frictionless table is connected as shown in the figure to two springs having spring constants k1 and k2. Find an expression for the block's oscillation frequency f in terms of the frequencies f1 and f2 at which it would oscillate if attached to spring 1...
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