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. O

    Exploring the Hydrodynamic Paradox with Water Springs

    Hello. Have you ever seen this experiment? OK, i know why does the watter flows without cover and does not flows with cover. However, what about the springs? Why they get together with horizontal hand movement and separate with vertical hand movement? Liquid always have the possible...
  2. B

    How Do You Calculate the Spring Constant from Two Different Masses?

    I need help with a spring problem: Two identical springs hung from a ceiling have different masses. The first spring is 1 kg with a total length of 6 cm. The second spring is 1.5 kg and is 7 cm in length. The displacement between the two springs is 1 cm. Find the spring constant k...
  3. S

    A stick with two springs attached between two vertical walls

    Homework Statement A stick with mass ##m=0.1kg## and length ##a=0.5m## has on each end welded a spring with constant ##k=2000N/m## and length ##l=0.2m##. We stretch both of the springs and mount them on the sides of vertical walls which are ##d=1m## apart. Find both translational and...
  4. S

    Two non ideal springs hanging on a tree

    Homework Statement One spring is located inside a wider spring. Both ends are welded together and hanged from a tree. both springs are ##30 cm## long when not deformed. The first spring has ##30 g## and ##k=5 g/cm## the second spring has ##60 g## and ##k= 6g/cm##. How deep under the branch...
  5. S

    Mass attached on two springs between the walls

    Homework Statement We have two springs each ##0.5 m## long and both have ##k=5N/cm##. One end of the spring is attached to the wall while the other two ends are connected in the middle. On the junction point of the two springs a mass is hanged. How does the frequency of oscillation around...
  6. Maxo

    How Does the Restoring Force in a Spring Relate to Applied Forces?

    Let's say we have a spring with 10 coils and a spring constant of k=100 and compress from the right it a distance of 1 cm, we have to apply force F = k*x = 100*0.01 = 1 N. But if we then compress it from both left and right, and apply half the force from the first case to each side, shouldn't...
  7. A

    How Does Physics Apply in the New Olympic Sled and Spring Event?

    In a new Olympic event athletes run as fast as they can, jump onto a sled, ride it down a hill and compress a spring as far as they possibly can. (who thinks of these any ways) a. Consider a 55.0 kg athlete that makes it to a top speed of 12.5 m/s before jumping onto a 15.0 kg sled. What is...
  8. PsychonautQQ

    Two springs supporting a mass verticle

    Homework Statement Two springs have spring constants k1 and k2, are in a vertical position to support a single object of mass m. Show that the angular frequency of oscillation is ((k1+k2)/m)^(1/2) if the springs are in parallel. The Attempt at a Solution The book then goes on to...
  9. kq6up

    Using Matrices to Solve Systems of Masses and Springs

    I am going through Mary Boas' "Mathematical Methods in the Physical Sciences 3rd Ed". I finished the chapter 3 section 12 problem set, but I do not understand how she gets eq. 12.39. These don't seem obviously equal to each other. Here is the equation: $$\lambda Tr=Vr$$ Where T is a matrix...
  10. D

    How fast Coil Springs are? Greatest mystery today?

    Hello, Hope someone finds this a challenge. Thought it would be a snap to find out, goggled it, nothing. Weeks later have not found one person in the world that knows of one example of how fast coil springs release. Just talked with Hyperco a major manufacturers head engineer, he...
  11. 1

    Springs question - vertical versus horizontal stretching

    Springs question -- vertical versus horizontal stretching... So I know hooke's law well enough and I understand the spring constant and it's vertical applications where force equals displacement times some constant. What I am unsure of is to what degree this all applies to a horizontal stretch...
  12. A

    Problem - Lagrange function for mass on springs attached on a frame

    Hello! I have a problem in classical mechanics that I'm unable to solve. Any help would be much appreciated since we have a partial exam tomorrow. :( Homework Statement There's a picture of the problem in the attachment A mass m, which is on a light rod (lenght d), is attached to a...
  13. S

    Mathemathical pendulum with springs

    Homework Statement A body with mass ##m## is hanged on a line with length ##l## and attached to springs in point ##p##. Point ##p## can move only horizontally. In equilibrium position, non of the springs is deformed. Now let's give that body just a little push out of equilibrium position...
  14. N

    Balancing a plank on springs (Torques)

    Hello, I would like some help with the following question. I highly appreciate your help ! I got an answer that doesn't make sense so I know there must be a concept that I don't get. There is a complicated piece of machinery sitting on a plank of metal which is 2 m long. The metal and...
  15. G

    How to deal with non fixed springs?

    Hello In every physics book they explain how to compute the force that a spring exert if one of its ends is fixed to a wall (or equivalent) and the other end is compressed or stretched. But how to deal with the problem if both ends are 'free'. For example, suppose you have two blocks...
  16. G

    Why Does Hooke's Law Consider Only 150N in a Two-Person Pull Test?

    Homework Statement Hooke's law describes a certain light spring of unstressed length 35.0 cm. When one end is attached to the top of a door frame and a 5.40 kg object is hung from the other end, the length of the spring is 42.00 cm. (a) Find its spring constant. (b) The load and...
  17. T

    Can You Solve This Four Spring Oscillation Problem?

    Homework Statement Figure shows a particle of mass m attached with four identical springs each of length L0. Initial tension in each spring is F0.Neglect gravity calculate the period of small oscillations of the particle along a line perpendicular to the plane of figure. (Take F0 = (0.01 π2)N...
  18. S

    Solving Friction & Spring Homework: .75kg Mass, 12000N/m Spring

    Homework Statement A mass of .75kg moves at 1.043m/s across a frictionless surface. Then it hits a .5m rough patch which has a coefficient of friction of .25. After moving through the rough patch, it continues on a frictionless surface. The mass then collides with a long spring. The spring...
  19. F

    What is the gas spring stiffness for a system with given pressures and volumes?

    Hey, Lets say I have the following gas spring system: https://dl.dropboxusercontent.com/u/47965009/asd.jpg In which P_a,P_b are the pressures and V_a,V_b the volumes. I would like to know how to determine the gas spring stiffness in this case?
  20. G

    3 Masses connected by springs

    [b]1. There is a central mass Mc connected by two identical springs of spring constant k to two identical masses Mo. a) Set up and solve the equations for the two normal modes (the ones in the attached images) in which the masses oscillate along the line joining the centers...
  21. J

    3 Springs and 2 Mass System in a line

    Homework Statement I have 2 walls, 3 springs, and two masses. The masses and springs are not necessarily similar to the other(s). They are connected in a configuration: Wall-Spring1-Mass1-Spring2-Mass2-Spring3-Wall. I need to find equation for both masses, given that not all springs are in...
  22. K

    Hookes Law, Finding A Springs Constant

    A spring extends by 10cm when a mass of 100g is attached to it. What is the spring constant? (calculate your answer in N/m) I have done this so far but I don't feel that it is right as the Force (F) is in grams and not Newtons: F = K x E 100 = K x 0.10 100 ÷ 0.10 = 100 K = 100 N/m...
  23. andyrk

    Sliding sleeve on a rotating bar with two springs

    Homework Statement P45) In the arrangement shown in figure, the sleeve M of mass m is fixed between two identical springs whose combined stiffness is equal to k. The sleeve can slide without friction over a horizontal bar AB. The arrangement rotates with a constant angular velocity w about a...
  24. O

    Solve for Period of Oscillation of 2 Springs with Mass Attached

    Homework Statement You have two springs with spring constants k_1 = 10 and k_2 = 20 vertically attached to a wall, and a mass of mass 3.00kg is hung from it. Find the period of oscillation. ---------------- || || <-- first spring, k_1 = 10 || -- || || <== second...
  25. STEMucator

    Find Bullet Speed in Spring & Mass System: k, M, m, d

    Homework Statement A spring whose spring constant is ##k## is suspended from the ceiling. A block of mass ##M## hangs from the spring. A bullet of mass ##m## is fired vertically upward into the bottom of the block and stops inside of the block. The spring's max compression ##d## is measured...
  26. W

    What Is the Angular Frequency of Oscillation for a Mass Between Two Springs?

    Homework Statement A mass of 9.96*10^-27kg is centered in between two springs which have a spring constant of 73N/m and 27N/m respectively. The other side the spring is pushing on is solid and does not move. What is the angular frequency of oscillation of the mass? k1=75 k2=27...
  27. P

    Energy/work on incline plane with springs

    Homework Statement Ok so the actual spring is attached to the 30 kg mass and is unstretched at this height off the ground. So if I were to pull the 25 kg mass down the plane 20 cm(assuming no friction on plane), and then let go, what would the velocity of the two masses be when the spring is...
  28. H

    Elastic Potential- Acceleration with springs

    Homework Statement A 1.6kg mass is suspended from a spring inside a stationary elevator. The spring stretches 12cm. The elevator now accelerates upwards, and the spring extends a further 12cm. What is the elevator's acceleration? Homework Equations Fy= may Ue= 1/2 (kx2) The Attempt...
  29. M

    Energy Principle with Springs

    Homework Statement So we have a test this Friday over several topics in modern mechanics. Our professor gave us last year's test to use as a study guide, but hasn't posted the solutions yet. I'm not sure I'm doing this one right so I was hoping someone could check my work! I feel like my...
  30. B

    No worries, let's just focus on finding the correct answers for the questions!

    1. Two blocks of equal mass are each pushed (from rest) along a frictionless surface a distance d. The force applied to block B is four times that applied to block A. What is the velocity of block B, relative to that of block A, vA? a) 4 vA b) 2 vA c) vA d) vA/2 e) vA/4 2. What is the...
  31. X

    Calculating Spring Constant and Mechanical Energy

    Homework Statement When a .5kg mass is suspended from a spring, the spring stretches 4cm. The mass is then displaced 2cm from its equilibrium position and released. (a) What is the spring constant? (b) What is the mechanical energy of the mass? (c) What is the speed of the mass as it passes...
  32. R

    Springs with the least amount of damping?

    I have a project I'm tinkering with that involves a "gyroscope" that I want to rotate back and forth using a spring. The gyroscope is a piece of steel pipe with a 4in ID about a foot long that weighs roughly 10lbs or so. I have a 5/16ths rod going down the center as an axle and it's running on...
  33. TheFerruccio

    Beam with uniformly distributed springs

    Homework Statement Suppose you have a beam with a transverse load P pointing down in the center, directly over the middle "spring". This beam is supported by 9 uniformly distributed springs of constant k. Compute the loads of the springs.Homework Equations You know that the problem is...
  34. B

    Mass attached to lower of 2 identical springs

    Homework Statement a mass m hangs from a uniform spring of spring constant k. (a)what is the period of oscillations in the system? (b)what would it be if the mass m were hung so that: 1)it was attached to two identical springs hanging side by side? 2)it was attached to the lower...
  35. M

    Period Ratio for Horizontal and Vertical Oscillations

    Homework Statement A mass m rests on a frictionless horizontal table and is connected to rigid supports via two identical springs each of relaxed length l_{0} and spring constant k. Each spring is stretched to a length l considerably greater than l_{0}. Horizontal displacements of m from its...
  36. andyrk

    Understanding Parallel Springs & the Equal Extension Assumption"

    When springs in parallel are replaced by a new spring of a new effective spring constant, for the proof of this, i.e keff=k1+k2 Why do we assume the extension in the springs to be equal?
  37. R

    How Far Does the Block Travel Below Equilibrium After a Sharp Blow?

    Homework Statement A block of mass m is suspended through a spring of spring constant k[I/] and is in equilibrium. A sharp blow gives the block an initial downward velocity v. How far below the equilibrum position does the block come to an instantaneous rest? Homework Equations...
  38. D

    Effective spring constant of two springs latched headon

    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...
  39. G

    Force problem using springs

    Homework Statement 2. You have been asked to evaluate a new device designed to hold arteries open. The design has three identical very small spheres connected in an equilateral triangle by three identical small springs. When inserted into an artery, the springs are compressed. To determine...
  40. C

    Three coupled pendula via springs

    Homework Statement See attached link The Attempt at a Solution I am fine up to the point where I have to express in matrix form. My method was, given the equation for the energy, to put this in matrix form and then recover the equations of motion from there (by differentiating and...
  41. Saitama

    Pulleys and Springs Homework Help

    Homework Statement (see attachment) Homework Equations The Attempt at a Solution At equilibrium conditions, the forces acting on ##m_2## are the tension due to the strings and its weight. ##T=m_2g+T'## where T is the tension in the string above ##m_2## and T' is the tension in the...
  42. D

    Forced Normal mode frequencies of 4 horizontal springs, 3 masses

    Homework Statement Hey guys. The title says it all pretty much. We need to find the normal mode frequencies of a driven/forced system containing 3 equal masses connected by 4 springs of equal spring constant k. Homework Equations F=m\ddot{x} Spring potential V = 0.5kx^{2}...
  43. C

    MHB Find Extension of Springs: $\vec{r}$, $T$, and $x_E$

    Second question I am stuck on: A spring of natural length l with modulus of elasticity λ has one end fixed to the ceiling. A particle of mass m is attached to the other end of the spring and is left to hang in its equilibrium position under the influence of gravity. (i) Find the extension...
  44. C

    Two springs one trolley, find velocity

    Homework Statement Please refer to the image. My workings= pencil Answer= pen Why is my working wrong? What wrong assumptions did I make? Homework Equations Hooke's law/Newton's second law/ Elastic potential energy =0.5 kx^2 The Attempt at a Solution As shown in the image.
  45. S

    Spring-mass system, two carts, two springs

    Homework Statement Take the example in Figure 3.12 on pg 117 (see attachment) with parameters ##m_1=m_2=1## and ##k_1=k_2=1##. Does there exist a set of initial conditions for which the first cart moves but the second cart does not? If so, find those conditions. Homework Equations The...
  46. S

    Two parallel springs, frequency change?

    Ok, you guys! Please note that this is NOT a homework question but merely something that's been bothering me for a while. We have a vertical spring with a hanging mass M. We pull the mass down and let it go, thus creating a harmonic oscillator with the frequency f. What happens with the...
  47. Sunil Simha

    SHM question with pulley and springs

    Homework Statement Find the time period of the oscillations of the body whose mass is m when it is displaced slightly form equilibrium. All springs have spring constant k and the pulleys and strings are massless and frictionless. Homework Equations T=2∏\sqrt{\frac{m}{K}} where T is...
  48. H

    Can Young's modulus be applied to slinky springs?

    Could somebody please tell me if we can apply young modulus theory to a slinky spring, or can only be applied to a rod when strenched?If possible to apply to the slinky spring, how can we calculate the elasticity of that slinky spring?by the way what is the process by which slinky springs are...
  49. E

    Potential Energy in two springs system problem

    Homework Statement A particle of mass m= 1.18kg is attached between two identical springs on a frictionless, horizontal tabletop. Both springs have spring constant k and are initially unstressed, and the particle is at x=0. a) The particle is pulled a distance x along a direction perpendicular...
  50. J

    Statics Springs Design Problem

    Statics Springs "Design Problem" Homework Statement Here's a problem I've been very determined to figure out, but I can't. I attached the picture. This single problem is 5% of my grade, so I'd appreciate any help! A plate storage system for a self-serve salad bar in a restaurant is shown. As...
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