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. S

    Explore the Link between Pendulums and Springs

    Bear with me if you've read or done a problem like this before, I just thought of it while watching the lecture on Hooke's Law http://ocw.mit.edu/courses/physics/8-01-physics-i-classical-mechanics-fall-1999/video-lectures/lecture-10/ by Walter Lewin of M.I.T. and probably couldn't solve it...
  2. O

    Uranium and Springs: Same Interatomic Distance & Stiffness?

    Homework Statement Chemically, the atoms of these two isotopes behave in essentially identical ways, since the number of protons (92) is identical and the clouds of 92 electrons are nearly identical. The interatomic distance, and the effective "stiffness" of the interatomic bond, both depend...
  3. C

    Two springs connected by a spring

    Homework Statement Two masses, m1 and m2, are connected to each other by a spring with a spring constant k. The system moves freely on a horizontal frictionless plane. Find the natural frequency of oscillation.Homework Equations F = -kx F = maThe Attempt at a Solution Let m1 be the mass on the...
  4. J

    Compression in Accelerating Springs.

    Suppose I have two masses with mass M each connected together by a spring with spring constant k like this: http://img827.imageshack.us/img827/4896/springs1.png Then I apply a force of F at both ends: http://img833.imageshack.us/img833/2562/spring2.png Then using Hooke's law F=kx, the...
  5. T

    Energy, U, stored in springs as a function of y, the distance

    Homework Statement The equilibrium length of each spring in the figure(attached, hopefully it shows up) is b, so when the mass m is at the center, neither spring exerts any force on it. When the mass is displaced to the side, the springs stretch; their spring constant is k. (a) Find the...
  6. C

    Resultant Force Acting On Springs : Confused

    Homework Statement Suppose we have 2 insulated metal rods each measuring 40 cm. Now,the 2 metal rods are connected with 3 identical springs each of length 20 cm (force constant 2.0 N/m) in parallel. A current of 20A is passed through each metal rod in opposing directions. What is the extension...
  7. R

    Solve for Work to Stretch Spring 9in. Beyond Natural Length

    Homework Statement "If the work required to stretch a spring 3 ft beyond its natural length is 8 ft-lb, how much work W is needed to stretch it 9 in. beyond its natural length?" Homework Equations F=kx. The Attempt at a Solution F=kx so 8 = 3k. k= 8/3 then I use an integral of...
  8. N

    Serial link manipulator with rotational springs

    Homework Statement if i have a three link massless manipulator (each with length l1 l2 l3) that has rotational springs at each joint, k1 k2 k3, and I apply a force on the third link, what will be the joint angles at equilibrium? Homework Equations k = Fd/theta The Attempt at a Solution...
  9. N

    Serial manipulator with rotational springs

    if i have a three link massless manipulator (each with length l1 l2 l3) that has rotational springs at each joint, k1 k2 k3, and I apply a force on the third link, what will be the joint angles at equilibrium? do I find the lever arm to each joint and multiply that by the force to find the...
  10. R

    Kinetic Energy with Springs

    Homework Statement A block of mass m=2.5 kg slides head on into a spring of spring constant 320 N/m. When the block stops, it has compressed the spring by 7.5 cm. The coefficient of kinetic friction between the block and the floor is .25. while the block is in contact with the spring and...
  11. M

    Question involving conservation law and springs

    Homework Statement A freight car of mass 1800kg is timed at 4.2m/s just after it runs into a spring-loaded bumper at the end of the track. The bumper consists of an 800kg mass that the car runs into, and a pair of large springs. The car travels 2.4m before coming to rest. a)using an...
  12. S

    Simple Harmonic Motion with Springs that have Mass

    Hi all, I recently learned about simple harmonic motion. In all the questions I have done, the springs are massless. I would like to know what happens when the spring has mass. I think that if the spring has mass, then the force in the spring will also have to counteract the weight of the...
  13. A

    How do I find the reduced force on an object due to springs?

    Homework Statement This question is beyond my level, I am doing this for bonus marks. I am unaware of how to do it, I am merely requesting a formula, or a series of steps to help me. I have not yet done calculus. Imagine that a 1 kg box is falling from a height of 5.2 m, with 4 springs...
  14. N

    Exploring Real vs Ideal Springs: Comparing Forces and Stretches

    Homework Statement Since a real spring has mass, if another mass was attached to it, would the spring exert a greater force on the mass and have a smaller stretch, versus if this spring was an ideal spring?
  15. E

    Springs, kinetic energy and work

    Homework Statement A 2 kg block is attached to a horizontal ideal spring with a spring constant of 200 N/m. When the spring has its equilibrium length the block is given a speed of 5 m/s. What is the maximum elongation of the spring? A. 0 B. 0.05 m C. 5 m D. 10 m E. 100 m Homework...
  16. C

    Electrical resistance of springs

    I am attempting to measure linear spring displacement by measuring the change in electrical resistance of the spring before and after the displacement. Will this approach work? (assume the coils do not contact each other)
  17. T

    Solving Problem with Springs Homework

    Homework Statement We have a string with property D (I don't know the name in english, it's dimension is N/m, the force required to stretch it 1m), which is small enough so that if we put the spring on the ground, it'll be shorter than it's standard height. The question is, when will this...
  18. M

    Coupled pendulum without attaching springs

    Homework Statement I conducted an EEI on coupled pendulums without the springs, thinking that it would be a basic experiment. Yet when the length of the pendulum and the distance apart was equal, the pendulums oscillated for more then 30 mins while the others with different length only...
  19. P

    What is the change in kinetic energy for a block attached to a stretched spring?

    Homework Statement A relaxed spring with spring constant k = 70 N/m is stretched a distance di = 63 cm and held there. A block of mass M = 7 kg is attached to the spring. The spring is then released from rest and contracts, dragging the block across a rough horizontal floor until it stops...
  20. P

    Block between springs, friction and work

    [PLAIN]https://wug-s.physics.uiuc.edu/cgi/courses/shell/common/showme.pl?cc/DuPage/phys2111/summer/homework/Ch-07-Work/IE_block_springs/9.gif Homework Statement A block of mass m = 1.5 kg slides between two springs, of spring constant kleft = 30 N/m and kright = 57 N/m. The distance between...
  21. T

    How Long Does It Take for a Mass to Reach Maximum Height on Dual Springs?

    Homework Statement Hello, guys! This problem is from exercise D, Q4 http://www.studyjapan.go.jp/pdf/questions/10/ga-phy.pdf" Consider two springs of negligible mass that have the same natural length (50 cm) and same spring constant. As shown in Figure 1 (view the link), the two srpings are...
  22. G

    Vertical Displacement of Particle on Spring: k,m and x in Equations

    Need to show that the vertical displacement of a particle on a spring is \ddot{x} + 100x = 0 \frac{1}{2}kx^2 + \frac{1}{2}m\dot{x}^2=C k\dot{x}x + m\dot{x}\ddot{x}=0 Then since m=0.4, k=40. \ddot{x}+100x=0 what has happened to gravitational potential energy? why isn't...
  23. 1

    Understanding Collisions with Springs: Inelastic vs. Elastic Motion Explained

    When a mass collides with a spring attached to a different mass; why is the maximum compression of the spring when the velocity of both masses is the same? (Spring is massless and surface is frictionless to make things simpler) My mechanics teacher told me this when I was solving (or rather...
  24. V

    Confirm my answers on Oscillating Springs?

    confirm my answers on Oscillating Springs?? Can anyone confirm or adjust my answers for problems 12 and 14? Also can someone help me start on problem 13.. Thanks guys I really appreciate the help Homework Statement 012 Find the speed of the block when it is 2.5 cm from the equilibrium...
  25. fluidistic

    Lagrangian of a system of several masses and springs

    Homework Statement I challenged myself with a problem I invented, but I'm stuck. Consider a 1 dimensional problem consisting of 3 masses, each one separated by a spring. So that from the left to the right of my sketch we have m_1, a spring (k_1 with natural length l_1), m_2, another spring...
  26. 2

    Simulating System of Masses Connected by Springs

    https://www.physicsforums.com/attachments/251691. Homework Statement assigned system of masses connected by springs with the parameters specified Mass M0 details: Stationary mass, does not move Starting Positions in meters: X: 5.8 Y: 4.2 ----------------------------------------- Mass...
  27. A

    Finding the period with mass attached to two springs

    Homework Statement A mass m slides on a frictionless horizontal surface, connected to two springs. If the springs have force constants k1 and k2, show that the simple harmonic sliding motion has period: T = 2pi*sq root(m(k1+k2)/(k1k2) There is a diagram and the springs are connected...
  28. B

    Compression Springs: Calculating Force Released

    Is there a formula to calculate how much force is released from compression springs knowing the exact specifications of the spring of course? Like if it takes 100g to compress a spring completely, how high would 50g travel when the spring is released.
  29. C

    Need help with free undamped motion of springs

    Hey guys, So I was trying to do a few questions to prepare for my Differential Equations exam soon, and I stumbled upon this question: A mass of 1 slug is suspended from a spring whose spring constant is 9lb/ft. The mass is initially released from a point 1 foot above the equilibrium...
  30. S

    Two springs a mass impossible?

    Homework Statement An 8 kg mass is hanging from two springs that are attached to the ceiling as shown in the figure. The spring constant of spring A is 165 N/m and the spring constant of spring B is 123 N/m. Which spring has a larger displacement? Note: Spring A is attached to the ceiling on...
  31. S

    Spring Mass system where springs also have mass

    hello all, this will be my third time posting this question, i thought perhaps posting in the homework section might have it be answered. Recently I have been attempting to model a spring system (see below) where the springs themselves will have mass. I should know how to do this but i accept...
  32. S

    Mass spring system where springs have mass

    hello all, Recently I have been attempting to model a spring system (see below) where the springs themselves will hold mass. I should know how to do this but i accept defeat, how do you model the potential energy or a force system on two masses connected to three springs? I have read about...
  33. Z

    Equation of motion for system of springs- SHM

    Homework Statement I don't want to write the whole question as it is very long and I just have one query.. Basically the question involves a particle attached to three different springs which have fixed end points. In the question the mass of the particle is m, and the other constants used...
  34. R

    Solve Kinetics, Springs: Find Collar Velocity at s=1 ft

    Homework Statement The 2-lb collar C fits loosely on the smooth shaft. If the spring is unstretched when s = 0 and the collar is given a velocity of 15 ft/s, determine the velocity of the collar when s = 1 ft. Homework Equations F = kx The Attempt at a Solution x = l-l0 = (√[1 + s2] - 1)...
  35. R

    Designing a Bumper with Springs: Forces and Recoiling

    i found this question interesting and technically challenging... i want to know the different approaches for solving this given problem... what are the factors to be considered while designing a bumper, with springs at its point of attachment with the car, so that the spring will compress and...
  36. K

    Simple Harmonic Motion - Two springs attached

    Yeah I got this question and I'm just wondering if I'm doing it right. Homework Statement A spring normally 10cm long and whose force constant is 150 n/m is connected to another spring normally 20cm long and whose force constant is 100 n/m. The combination is then pulled out so that its...
  37. S

    SHM of Mass Oscillating between Two Identical Springs

    [b]1. The problem statement, all variables and given/known A mass m is connected between two identical springs (along a y-axis) with identical spring constants k. The equilibrium length of each spring is L, but they are stretched to twice this length when m is in equilibrium. By analyzing the...
  38. C

    Conservation of Energy and Springs. Block dropped onto a spring

    [b]1. Homework Statement [/b A 2.7 kg block is dropped from rest from a height of 4.5 m above the top of the spring. When the block is momentarily at rest, the spring is compressed by 25.0 cm. What is the speed of the block when the compression of the spring is 15.0 cm? Homework Equations...
  39. P

    Oscillating Springs: Finding Frequency w/ k1, k2, & m

    Homework Statement I've had some problems trying to work through this problem: Two springs of stiffness k1 and k2 are attached in succession to a mass m. What is the frequency of vibrations in terms of the spring stiffness k1 and k2 and the mass m? Homework Equations...
  40. O

    Calculating equilibrium point of a network of springs

    Hi, I'm trying to find a way to calculate the resting position of a network of springs that is built as follows: n number of springs with identical k constant, but with different resting lengths are connected together at one end of each spring. The other end of each spring is fixed to some...
  41. S

    Force Applied to Masses Suspended by Springs: Find Displacements

    Homework Statement A pair of masses M1, M2 is suspended vertically by a pair of spring, with spring constant k1, k2. ( see the attachment for the picture) a.A downward force F is applied to bottom mass. Find the downward displacements d1 and d 2 of the equilibrium positions of the Mass...
  42. K

    Oscillating Mass between Two Springs

    Homework Statement A block on a frictionless table is connected to two springs having spring constants k1 and k2. Show that the block's oscillation frequency is given by f = (f12 + f22).5 where f1 and f2 are the frequencies at which it would oscillate if attached to spring 1 or spring 2...
  43. 5

    Solving 2 Spring Problems: Extension & Tension Calculation

    1.A stell spring has a spring constant of 25Nm^-1.Calculate a.the extension of the spring when the tension in it is equal to 10N, b.The tension in the spring when it is extended by 0.50m from its unstretched length. 2.Two identical stell springs of length 250mm are suspended vertically...
  44. C

    Find Energy Stored in Two Parallel Springs

    Homework Statement There are two springs, one long spring of constant k1 and it is inside a smaller spring of constant k2. Both springs follow Hooke's Law. A box of mass M moves without friction and compresses spring 1 a distance d1 where it hits spring 2. Spring 1 and 2 then compress further...
  45. H

    Two Springs and Two Masses. Equation of Motion

    Homework Statement Derive the equation of motion for the following Mechanical System. You need to introduce an additional variable to represent position of the bottom mass. I drew a picture ;D http://www.mediafire.com/imageview.php?quickkey=mzkx0mimmwd&thumb=4 Homework Equations EOM...
  46. D

    Maximum Speed of a Mass on a Spring with Given Mass and Spring Constant

    Homework Statement a 300 g mass vibrates at the end of a horizontal spring along a frictionless surface. if the spring constant is 45N/m, and the maximum displacement of the mass is 8.0cm, what is the maximum speed of the mass? Homework Equations g=Gm/r^2 The Attempt at a Solution...
  47. K

    Mass between 2 Springs k1,k2

    Homework Statement Hey The part of the question that i am not all the sure about is Newtons second law. and the Omega the Situation is as followed ]/\/\/k1\/\/\[m]/\/\/k2/\/\[ There are 2 springs k1,k2 and a mass in between.Homework Equations F=ma and F=-kx x=Asin(omega(t)+theta) The...
  48. W

    Combination of 3 springs at given angles

    Three springs of spring constant kare connected to a body of mass m and rigid supports, so that the angles are A 90 degrees between two and 135 degrees between each of these two and the third. B 120 degrees between any 2 adjacent ones. Find time period of vibration. I worked out a...
  49. C

    Help With Springs: Answers & Solutions

    I think this is in the right section, sorry if it's not. First off, I'll apologize again for not knowing any terminology dealing with springs so I hope you understand what I'm wanting from you. Which is, say you have a circular compression spring that can hold 2 lbs without moving, what amount...
  50. F

    Find Spring Constant: Prove 1/K_eff = 1/k_1 + 1/k_2

    Finding the given spring constant Homework Statement Consider the system represented on the figure, constituted by the mass m and two springs of constant k1 and k2. (The image is attached) Prove that: \frac{1}{K_{eff}} = \frac{1}{k_{1}} + \frac{1}{k_{2}} Homework Equations F =...
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