Spring Definition and 999 Threads

When we have solid rod instead of spring I can solve this problem in Microsoft Excel either with Euler´s method or Runge Kutta method, but that spring makes this problem hard for me.

I have encountered two separate review problems that have to do with finding a value for amplitude and I am really struggling with it. 1. Homework Statement Question 1- A mass of 3kg is free to move on a horizontal frictionless surface and attached to a spring of k=15 N/m. It is displaced...

Homework Statement A 1.50-kg, horizontal, uniform tray is attached to a vertical ideal spring of force constant 185 N/m and a 275-g metal ball is in the tray. The spring is below the tray, so it can oscillate up and down. The tray is then pushed down to point A, which is 15.0 cm below the...

1. Problem Description: A massless spring hangs from the ceiling with a small object attached to its lower end. The object is initially held at rest at a position y. The object is then released from y and oscillates up and down, with its lowest position being 10cm below y. What is the frequency...

Homework Statement A block is hung from a vertical spring. The spring stretches (h = .0650 m ) for a particular instant in time. Consider the earth, spring, and block to be in the system. If m = .865 kg and k = 125 N/m, find the change in the systems potential energy between the two times...

Homework Statement A spring that has a spring constant of 2000 N/m is compressed 5 centimeters from its rest position. If a 2.5kg block is placed on the edge of the spring and then released, what will the block's kinetic energy be once it has completely left the spring? How fast will the block...

Homework Statement The drawing shows three situations in which a block is attached to a spring. The position labeled "0 m" represents the unstrained position of the spring. The block is moved from an initial position x0 to a final position xf, the magnitude of the displacement being denoted by...

Homework Statement Consider a mass attached to four identical springs, as shown in the figure. Each spring has a force constant k and an unstretched length lo, and the length of each spring when the mass is at equilibrium at the origin is a (not necessarily the same as lo). When the mass is...

Hi all, I'm an electrical engineer and I'm part way through the design of a little project and I'm struggling with a mechanical element which I'm hoping someone may be able to assist with. I'm going to keep the finer details out of this to keep things simple and just focus on the issue. This...

Homework Statement Given a plank is moved with uniform velocity v. To which a mass is connected by a spring of force constant k. What is work done by the external agent on the maximum compression of the spring Homework Equations Work done by spring=0.5*k*x2 Work-energy theorem: total work...

Hey guys, I'm wondering why the displacement of the mass mounted in this setup is 2(x1+x2)?. I'm assuming that when the pulley rotates(when the mass is pulled downwards) the distance between the initial point and the end point of its center and the distance traveled by the mass are equal...

1. Homework Statement : The block of mass m1 as shown in the figure (pic attached)is fastened to the spring and the block of mass m2 is placed against it. a)Find the compression of the spring in equilibrium position. b)The blocks are pushed a further distance (2/k)(m1 + m2)g sinθ against the...

I think I solved this correctly, but it puzzles me why they made two separate questions for the first two points. 1. Homework Statement A block of known mass m is attached to the free end of a spring, on a flat horizontal surface without friction. The spring is compressed by a known distance...

Homework Statement A block of mass 200g is suspended through a vertical spring. The spring is stretched by 1.0 cm when the block is in equilibrium. A particle of mass 120g is dropped on the block from a height of 45 cm. The particle sticks to the block after the impact. Find the maximum...

Homework Statement An "ideal" spring with spring constant 0.45 N/m is attached to a block with mass 0.9 kg on one end and a vertical wall on the other. The floor has negligible friction, and you give the block a push and then let go. You observe that the block undergoes simple harmonic motion...

Homework Statement I have a mass of 100 g and I want to make it oscillate with a period of 10 Hz. What spring stiffness do I need? Homework Equations f = 1/2π√s/m The Attempt at a Solution I don't know how to find the stiffness to plug into the equation.

Homework Statement A 2.90 kg block on a horizontal floor is attached to a horizontal spring that is initially compressed 0.0360 m . The spring has force constant 860 N/m . The coefficient of kinetic friction between the floor and the block is 0.35 . The block and spring are released from rest...

Homework Statement Consider the illustration of 3 springs: In A, we hang a very light spring and pan from a hinge. The pan and spring are so light, we can neglect any stretching of the original length ##l_{0}##. In B we add a weight ##mg## which force is balanced by ##kl## (Hooke's Law; the...

Homework Statement Scenario: a block of mass 5 kg is hanging from a spring from an ideal pulley from one side, the other side supporting a mass of 10 kg through a STRING. Now, the 10 kg block replaced with a 5 kg block. In which case would the extension in spring be greater, assuming constant...

Homework Statement A body with mass m start from repose and slide along a plane without friction. The plane forms an angle with the horizontal. After sliding a distance d unknown, the mass touches the extremity of a spring non compressed and non stretched with no mass. The mass slides a...

Homework Statement Thin uniform disk with radius r, mass m, and moment of inertia 0.5mr2 is suspended from a cable line where one end is attached to a set point via a spring, and the other end is also attached to a spring but is moving in an upwards direction. Solve for the equations of motion...

Homework Statement A 4.0 kg block starts at rest and slides a distance d down a frictionless 35.0 incline, where it runs into a spring. The block slides an additional 16.0 cm before it is brought to rest momentarily by compressing the spring, whose spring constant is 429...

Homework Statement Force Extension in (m) 1.0 0.014. 1.5 0.032. 2.0 0.053. 2.5 0.071. 3.0 0.090. 3.5 0.110. 4.0 0.130. 4.5 0.148. 5.0 0.166...

Homework Statement A given pulley has a radius of 20 cm and moment of inertia 0.2 kgm2. The string going over it is attached to a vertical spring of spring constant 50 N/m on one end and a 1 kg mass on the other end. The system is released from rest with the spring at natural length. Find the...

Hi, I'm having trouble understanding the energy conversions in a spring. I know that whilst a spring is being deformed, it gains elastic potential energy and at maximum deformation it has max elastic potential energy. But, does a spring have maximum kinetic energy at its un-deformed state? if...

Homework Statement The air-track carts in the figure(Figure 1) are sliding to the right at 2.0 m/s. The spring between them has a spring constant of 140 N/m and is compressed 4.1 cm. The carts slide past a flame that burns through the string holding them together. What is the final speed of...

Homework Statement Twelve identical mass-spring combos are lined up and set to oscillation. Two pictures of the same system taken at different times are shown. The crest-to-crest distance is 8.0 cm, and the maximum displacement of all the masses is 1.5 cm. 1) Explain how you can tell that a...

Quick question that's causing a lot of headaches at the moment. Ive got two horizontal springs with a mass in the middle. The springs are preloaded. I get that the springs are in parallel and the effective stiffness is the sum of the stiffnessess. If the springs are preloaded, is the preload...

Hi, could you help me with my parametric model please? I have a problem with the end of spring. At the end of load (displacement) is problem with solve stress because there is concentrated stress and it shouldn't be. I didn't define contact between coils yet. I need to repair this fail at...

Homework Statement The picture is too tough to draw online, so I've attached a picture of it. The illustrated mechanism shows two springs both with a known spring constant ##k## and rest length of ##2R##. One end of the top spring is fixed above a wheel and the other end is attached to the...

Hello folks, I'm trying to find a spring that can act in both tension and compression, and return to a neutral (or zero) location when released. What I'm thinking of is basically a shock, but without the damper. It needs to be a nearly instantaneous return. Google search is giving me nothing...

Hi, I'm a student in electrical engineering and I'm writing my master thesis at the moment. Ironically I'm now confronted with the deformation of springs. I'm not a physics (!) but I think and hope that you may can help me. Simple push and pull forces are not the problem. I need to calculate...

Homework Statement Two identical pendulums of the same mass m are connected by a light spring. The displacements of the two masses are given, respectively, by xa = Acos( (w2-w1)t/2 )cos( (w2 + w1)t/2 ), xb = Asin( (w2-w1)t/2 )sin( (w2 + w1)t/2 ). Assume that the sprint is sufficiently weak...

Homework Statement http://imgur.com/a/X7mWA Homework Equations 1. ΣF = m a 2. Στ = Iθ" The Attempt at a Solution First , assuming small motion, all movement of the scale can disregard x components (so the spring stretches only in vertical direction without an impact from the x directional...

Homework Statement An ideal spring of relaxed length l and spring constant k is attached to two blocks, A and B of mass M and m respectively. A velocity u is imparted to block B. Find the length of the spring when B comes to rest. Homework Equations ∆K + ∆U = 0 U = \frac {kx^2}{2} ∆p = 0...

hello, new here but need a hand figuring out a problem that is above my knowledge, i am currently building a kayak loader for myself like the one pictured below, i am trying to figure out where to place the spring and how heavy of a spring i need to help assist the kayak onto my roof, i am sure...

"It takes 100J of work to stretch a spring 0.5m from its equilibrium position. How much work is needed to stretch it an additional 0.75m." Attempt: w = ⌠abF(x)dx work = F x D 100J = F x 0.5m F = 200J 0.75 + 0.5 = 1.25 w = ⌠0.51.25 200dx w = 150 J The correct answer: w = 525 J what did I do...

Homework Statement A spring of negligible mass exerts a restoring force on a point mass M given by F(x)= (-k1x)+(k2x^2) where k1 and k2 >0. Calculate the potential energy U(x) stored in the spring for a displacement x. Take U=0 at x=0. Homework Equations ΔU=∫F(x)dx U=½kx^2 The Attempt at a...

Homework Statement Homework EquationsThe Attempt at a Solution EPE is (0.5)kx^2 Let Y have spring constant of K then X has spring constant of 2K So EPE of Y is (0.50kx^2 which is E So EPE of X must be (0.5)2kx^2 which is kx^2 which is 2E? But correct answer is E/2??

Homework Statement A system of two blocks (each of mass M) are connected by a spring with spring constant k. The system is shoved to the left against a wall and the spring is compressed a distance D. The block(s) are then released. Determine the period of oscillation for the system when the...

Hi, I want to apologize in advance because I have not studied mechanical engineering in any profound sense other than in my hobbyist projects (I focus more on software engineering). Currently I am creating a real life Raspberry Pip Boy 3000 MK 4 from the Fallout 4 video game with instead of...

Homework Statement A mechanical gun of mass M(g) uses a spring to shoot a bullet of mass M(b). The energy of the compressed spring before firing is E. Assuming the gun is at rest before firing, what is the recoil speed of the gun immediately after it shoots the bullet? Homework Equations...

Homework Statement An m = 1.3 kg block and an M = 3.0 kg block have a spring compressed between them and rest on a frictionless table. With a stopper in place that prevents m from moving, the spring is compressed and released so that M moves away with a speed 2.0 m/s. The spring is...

Homework Statement Homework Equations These are the equations he provided. The Attempt at a Solution I actually have no idea how to do them. So any help would be much appreciated.

Homework Statement 2 identical discs each mass m are connected to stiff spring with constant k. when you push down on the top disc and release, will the system be able to lift off ground. if so, how high? Homework Equations f=ma,f=kx,pe=mgh,pe=1/2kxsquared, ke=1/2mvsquared The Attempt at a...

two identical discs are connected by a stiff spring. if you push down on the top disc then release, will the system be capable of leaving the ground? if so, how high? what exactly is the spring doing (in terms of pushing or pulling on either disc) during the motion? what force(s) cause the...

A planar object comprises of two masses joined by a linear spring with relaxed length p. The horizontal and the vertical displacements of the two masses are measured relative to a fixed point of reference as shown in the figure. What would be the potential energy of the spring? My initial guess...

hello, I'm new here according to this scheme: i would to know, if the pressure is constant, the spring displacement in the moving part in function of time. the square is without mass, so i thought to use the energy approach, but i don't know how to consider acceleration

Hi all, I am quite confused by the forces relating to a horizontlly placed spring when someone directly exerts a force to the compress it. If I exert a force F to the right to compress the spring, which, say, is placed against a wall, the spring exerts an elastic force on me but I don't see how...

Homework Statement http://[URL=http://www.siz.co.il/][PLAIN]http://up416.siz.co.il/up3/w2jymjm5nqxy.png [/B] A body with a mass that equals to m is inside a smooth tube and is attached to two identical springs with constants that equal to k. Their length when they are limp is L0. When the...