Spring Definition and 999 Threads

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  1. S

    Find v(x) of a mass suspended from a spring

    Hi all, I have a problem that I've been grappling with for the past 2 hours. I was confident at first that I found the correct solution, but when I tried to verify I didn't have a constant in my v(x) function. Here is my attempt: I appreciate your help kind internet strangers!
  2. K

    How to find the deceleration of a mass colliding on a spring?

    Problem Statement: A known mass at a know velocity collides on a spring of known stiffness. What is the equation that governs the deceleration of the mass, so that the force on the spring could be found? Relevant Equations: 1/2 m*V^2 = 1/2*k*x^2 + 1/2*m*(Vo)^2 Kinetic energy of mass before...
  3. H

    Spring on a mass that is held back

    Hi. I have a question regarding the above image and want to know whether I am right or not. In the image there is a body with mass m and in the middle of the body there is a spring. The body is pulled upwards and then it hits two fixed rods such that the body cannot move upwards any more. Now...
  4. P

    Understanding resonance in a spring

    I have the equation $$\frac{d^2y}{dt^2} + 5y = 0$$ where I've worked out $$y = Acos(\sqrt5t) + Bsin(\sqrt 5 t)$$ $$y'' = -5Bsin(\sqrt 5 t) $$ using $$y = e^{\lambda x}$$ and using y(0) = 0 (the spring is released from equilibrium) so an external force $$Acos(\omega(t - \phi))$$ is applied so...
  5. Ahmadd

    Spring constant that withstands 110 kg

    Hello, I have a mass of 110 kg and I want to move it with a speed of 14 m/s by using springs. how can I determine the constant of the spring and design it? thank you!
  6. Miles123K

    Normal mode of an infinite spring pendulum system

    First I worked out the dispersion relations, which is pretty easy: ##M \ddot x_j = K x_{j-1} + K x_{j+1} - 2K x_j -mg \frac {x_j} {l} ## (All t-derivatives) We know ##x_j## will be in the form ##Ae^{ijka}e^{-i\omega t}## so the above becomes: ## -\omega^2M = K (e^{-ika}+e^{ika}-2)-\frac {g}...
  7. K

    What is the governing equation of a spring with sinusoidal excitation?

    Hi, Most of the spring vibration lectures assume spring to be fixed on one end and mass on the other end [Example]. In my case, spring has a sinusoidal excitation on one end and mass on other end. Pl. refer the image below. How to get the governing equation? With that I also want to find the...
  8. B

    AQA physics paper On potential energy in mass spring system

    The spring constant of a helical spring is 28 N mñ1. A 0.40 kg mass is suspended from the spring and set into simple harmonic motion of amplitude 60 mm. i use the equation 1/2 change in extension times by force where the force i assume is mass times by 9.8 but the mark scheme uses 1/2 kx ^2 and...
  9. O

    Calculate spring rate in 3 bump scenarios?

    Hi, Working on my vehicle and have a theoretical question I'd like a 2nd opinion on. The physics question is how much influence the force of a bump has in conjunction with a perfectly tuned spring rate can have on ride quality (as crudely defined in vertical acceleration z force m/s squared)...
  10. EEristavi

    2 objects connected by a spring - Minimum Force required to move the objects

    On object 2: There are only 2 horizontal forces - Friction and Tension (of the spring). T = km2g On Object 1: There are 3 horizontal forces and the minimum value for F is when: F - km1g - km2g = 0 F = kg(m1 + m2) However, Solution is: F = kg(m1 + 0.5 m2) Any opinion?
  11. C

    Work Problem -- Wood Block Sliding into a Spring

    W_net = Integral from 0 to 0.70 meters [ - F_spring - F_friction ] = 1/2 * (-k) * x^2 - mu * mg * normal force * x = 1/2 * (-325N/m) * (.70)^2 - 0.250 * 6kg * 9.81m/s^2 * 0.70 - 0 = - 89.93 Joules Is this correct and am I setting this whole thing up correctly? The negative signs have me...
  12. Shivang kohlii

    Shm , calculation of amplitude of spring mass system

    Homework Statement In A spring mass system , the spring stretches 2 cm from its 's frelength when a force of 10 N is applied . This spring is stretched 10 cm from it's free length , when a body of mass m = 2 kg is attached to it and released from rest at time t = 0 . Find the A) force constant...
  13. J

    Looking for some help realting to spring energy changes

    Homework Statement https://imgur.com/gallery/PQx8SmXHomework Equations EPE (elastic potential energy) = 1/2kx^2 GPE (gravitational potential energy) = mgh The Attempt at a Solution my attempt, https://imgur.com/gallery/lJDhwqD [/B] I feel like I've made progress considering the quadratic...
  14. Ariano AnnaG

    Circular motion of a rotational spring

    Homework Statement A child is playing with a spring (k=100000 N/m, Li = 0.5 m). One of his toys (m=0.5 kg) is attached to the further extremity. The child is rotating the spring above his head on a horizontal plane, with a uniform circular motion. What is the elongation of the spring? I’m not...
  15. M

    How far does the block slide? (work, spring, incline)

    Homework Statement The system is released from rest with no slack in the cable and with the spring stretched 225 mm. Determine the distance s traveled by the 3.2-kg cart before it comes to rest (a) if m approaches zero and (b) if m = 2.5 kg. Assume no mechanical interference and no friction...
  16. F

    Maximum displacement in mass spring system

    Homework Statement A block is suspended by an ideal spring of the force constant K. If the block is pulled down by applying a constant force F and if maximum displacement of the block from its initial position of rest is X then, find the value of X. Homework Equations mg + F = XK + K(mg/K)...
  17. osten

    Oscillation Problem -- Ball mass on the end of a horizontal spring

    Homework Statement A 200 g ball attached to a spring with spring constant 2.40 N/m oscillates horizontally on a frictionless table. Its velocity is 20.0 cm/s when x=−5.00cm. What is the amplitude of oscillation? Homework Equations f=√(k/m) /2π x(t) = Acos(2πft) v(t) = -2πfAsin(2πft) The...
  18. J

    Design a non-linear conical compression spring

    What is the method to design a Non - Telescopic, Non - Linear, conical compression spring from a Force - Deflection characteristics
  19. M

    Twin spring system with a mass in between (X and Y direction)

    Hello my fellow scientists! This is my first post on this forum, but most certainly not my last. I am relatively new to physics. I mean, i understand the basics. I would like to make it my hobby. You know, really find a passion for the physics. BTW, i am from the Netherlands, so please do not...
  20. R

    Why is my thinking incorrect? -- Block and spring driven by a motor

    Homework Statement An oscillator consists of a block attached to a spring (k=400n/m). At some time t, the position (from equilibrium), velocity, and acceleration of the block are x= .100m, v= -13.6m/s, a= -123m/s^2. What is the frequency? mass of block? amplitude. Homework Equations position...
  21. K

    AP Physics C Momentum Problem: A dart launched horizonally by a spring gun

    Homework Statement A boy launches a 20 g dart horizontally by a spring gun from a balcony 45 m above the ground. The dart lands 15 m away from the balcony. If the length of the gun’s barrel is 10 cm, what is the average horizontal force applied by the spring?(A) 1.0N (B) 2.0 N (C) 2.5 N (D) 5. N...
  22. A

    -qEx for a vertical spring in a constant Electric field

    A massless spring of spring constant k = 13 Newtons per meter hangs purely vertically. A 20 Newton, 5(10-3) Coulombs charged particle is attached to the spring and released from rest. Besides all this, there is also a constant, external Electric Field of 9000 Newtons per Coulomb pointing...
  23. jybe

    What is the effective spring constant of a charged DNA molecule?

    Homework Statement A molecule of DNA (deoxyribonucleic acid) is 2.10 μm long. The ends of the molecule become singly ionized: negative on one end, positive on the other. The helical molecule acts like a spring and compresses 1.09% upon becoming charged. Determine the effective spring constant...
  24. G

    Modeling a mass hanging by a spring: motion in 3D time/freq domain

    Hello everyone, I am new here, and wondering if anyone would have some knowledge on a current problem I have been working on. I am trying to create time- and frequency domain 3D models of an object hanging using a spring from a fixed point within a shell. I am trying to figure out how the...
  25. O

    What's the importance of a spring force constant of 1634N/m?

    Hi I'm new here and I've checked everywhere on google but I can't seem to find a website that'll tell me the spring force constant of items. Also what things would be in the range of a spring force constant of 163.427 N/m/
  26. T

    Simple harmonic motion equation

    Homework Statement Calculate the harmonic motion equation for the following case A=0.1m, t=0s x=0.05m, v(t=0)>0 a(t=0)= -0.8m/s^2 Homework Equations x(t)= +/-Acos/sin ( (2pi/T)/*t) The Attempt at a Solution [/B] A is given to be 0.1 so I simply place it into the equation. Now I have to...
  27. Andromeda9010

    Schools What are the deadlines for US PhD admissions for Spring semester?

    I had a presumption that PhD admissions happen all year. Apparently I was wrong, and this could cost me. I am going to take the physics GRE on march and the general GRE probably after that. This means if I want to get admitted for a university on fall semester, I will have to wait about two...
  28. Jeviah

    Spring characteristics when loaded with a mass

    Homework Statement If a spring is loaded with a mass, the spring being completely vertical and the mass hanging below it there would be an extension in the spring relative to the mass applied/force applied according to hookes law. If the same spring was not vertical but coiled (similar to a...
  29. jybe

    Solve Spring Force Problem: Displacement, Velocity & Acceleration

    Homework Statement A spring of negligible mass stretches 3.00 cm from its relaxed length when a force of 6.30 N is applied. A 0.540-kg particle rests on a frictionless horizontal surface and is attached to the free end of the spring. The particle is displaced from the origin to x = 5.00 cm and...
  30. jybe

    Mass launched into the air by a spring

    Homework Statement A child's toy consists of a piece of plastic attached to a spring in the figure below. The spring is compressed against the floor a distance of 2.00 cm, and the toy is released. If the toy has a mass of 117 g and rises to a maximum height of 45.0 cm, estimate the force...
  31. jybe

    Spring constant of a car on springs

    Homework Statement When four people with a combined mass of 325 kg sit down in a 2000-kg car, they find that their weight compresses the springs an additional 0.55 cm. A) What is the effective force constant of the springs? B) The four people get out of the car and bounce it up and down. What...
  32. S

    Additional energy stored in spring

    Homework Statement The graph shows the variation with extension x of the load F on a certain spring A load of 10 N is placed on the spring. How much additional elastic potential energy will be stored in the spring if it is then extended a further 0.040 m? a. 0.200 J b. 0.450 J...
  33. T

    Spring and mass with varying force -- what is the change in temperature?

    Homework Statement A system consists of a mass m moving in one dimension and attached to a rigid wall by a spring having stiffness constant ##K##, as shown. The mass is subjected to a constant force ##F##, and is in equilibrium with the surroundings at a temperature ##T##. The partition...
  34. J

    Beam with two supports + spring

    Homework Statement I have beam supported in three points (one of the support is spring) . What i know: PR = 100kN/m spring constant Z = 10kN/m I have to calculate bending moments and shear forces in points A, B and Z. Homework Equations [/B] ΣM = 0 ΣF = 0 Spring force : Fz=-zx This is not...
  35. M

    Spring conservation of energy problem

    1. A spring is suspended from a ceiling and a 256g mass is attached to it and pulled down to stretch the spring by 18.2cm The mass is released and travels through the equilibirum position with a speed of 0.746m/s. Calculate the force of the spring constant Solution Et= Et' Ee = Ek + Eg 0.5kx^2...
  36. C

    Spring with oscillating support (Goldstein problem 11.2)

    Homework Statement A point mass m hangs at one end of a vertically hung hooke-like spring of force constant k. The other end of the spring is oscillated up and down according to ##z=a\cos(w_1t)##. By treating a as a small quantity, obtain a first-order solution to the motion of m in time...
  37. A

    Spring constants from the physical dimensions of a spring

    I’d like to know if anyone has formulas for calculating the spring constant (k) of coil springs, from their physical dimensions. I bought a coil spring, suspended a 0.6 kg mass to it, observed its oscillation period at very close to 0.6 seconds, and so believed the spring constant “k” to be...
  38. Shivang kohlii

    Constraint relation in a pulley spring system

    Homework Statement How to apply constraints in the system to get a relationship between the displacements of block of mass m and pulley of mass M.? Homework Equations ∑T.a= 0 The Attempt at a Solution Assuming tension in both strings to be T . -T × a1 ( for the block) + 2T × a2 ( for the...
  39. opus

    What’s everyone’s Spring schedule?

    The break is nice but looking to get back into it. What’s everyone taking? Physics I Intro to Arduinos Calculus II Chemistry II
  40. Bladerunner56

    Standing jump on a spring platform

    Hello PF, I'm looking for physics and math insights that will help me set up and solve a diff. eqn. for the height of a jump from a spring platform. The problem requires a bit of setup explanation, because it appears simple at first, but then, not so simple. First consider a person standing...
  41. P

    Troubleshooting Spring and Masses: How to Solve for Maximum Compression?

    1. Homework Statement Attached in the picture below.Homework Equations Spring energy = 0.5Kx2 Kinetic energy = 0.5mv2 The Attempt at a Solution I tried setting the equations for spring energy and kinetic energy equal, since I thought the maximum compression would occur when the box had no...
  42. Shivang kohlii

    Amplitude of a mass joined to a spring in the presence of an E-field

    Homework Statement A block of mass m having charge q placed on smooth horizontal table and is connected to a wall thorough an unstretched spring of constant k . A horizontal electric field E parallel to spring is switched on. Find the ampliture of the shm by the block. Homework Equations kx=...
  43. Izzy Levine

    Help please -- Amplitude of a spring - does it change with mass?

    Hello! In some of my college Physics practice problems, amplitude of a spring in Simple Harmonic Motion does not change with mass (for example, when the mass splits in 2 at equilibrium in a horizontal oscillator - see picture). But, in other problems, the Vmax of the oscillator remains constant...
  44. John McAndrew

    Acceleration of mass depends upon K and L of a spring?

    I have a question that appears elementary, but bizarre in its conclusion: A mass ##M## is accelerated by a spring of length ##L##, wave-speed ##v_p##, spring-constant ##K## and a constant force ##F## at the other end. As ##K## increases, the extension of the spring ##dx## decreases as does the...
  45. P

    Kinetic Energy & Momentum of a Ball released from Spring

    Homework Statement "A spring with a spring constant "k" is compressed 10 cm from equilibrium. A ball of mass 100 g is at rest next to it. The spring then decompresses quickly back to its equilibrium position causing the ball to shoot forward. If the spring constant is 500 N/m, what is the...
  46. Alex Katko

    Calculate the natural circular frequency ωn of the system

    Homework Statement Calculate the natural circular frequency ωn of the system shown in the figure. The mass and friction of the pulleys are negligible. The diagram is attached. Homework Equations ωn = (k/m)1/2 The Attempt at a Solution I can see the total mass of the system is 3m. So in the...
  47. Kenny555

    Mass and spring on an inclined plane

    Homework Statement [/B] I got part A and B but in part c , but how to relate period to the equation in part b which is not similar to the cosine function of S.H.M . So i don't know how to obtain period from the equation PS: In part b ,I use mgsin(theta)=-kx and then divided by m Homework...
  48. astroman707

    Derive the formula for the frequency of a spring

    Homework Statement Two masses m1 and m2 are joined by a spring of spring constant k. Show that the frequency of vibration of these masses along the line connecting them is ω = √[ k(m1 + m2) / (m1*m2) ] (Hint: Center of mass remains at rest.) Homework Equations f = w/2π w = √(k/m) F = -kx a = -...
  49. J

    Confused about a simple harmonic motion problem....

    Homework Statement A vertical block-spring system on Earth has a period of 6.0 s. What is the period of this same system on the moon where the acceleration due to gravity is roughly 1/6 that of earth? Homework Equations w = √(k/m) w = (2Pi)/T T = 2Pi*√(m/k)[/B] The Attempt at a Solution So...
  50. S

    Graphing Kinetic Energy of a Toy Car Released from a Compressed Spring

    Homework Statement A toy car is held at rest against a compressed spring, as shown in the figure. When released, the car slides across the room. Let x=0 be the initial position of the car. Assume that friction is negligible. Sketch a graph of the car's kinetic energy from the moment it is...
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