Spring Definition and 999 Threads

Homework Statement The mass is able to move in any direction. All springs are preloaded (compressed) to half their allowable loading capacity. Springs are not properly connected to the mass or ground (they are mounted on a rod on which the mass is moving). Ignoring all friction and gravity...

Homework Statement I have a math project due in a month. The topic i chose to present was second order differential equations, so i felt like making a driven spring mass system to demonstrate resonance and nice things like that. I have a few questions about materials and design and such and...

Afternoon All I have a math question I don't actually have a clue what to do. Can some help me out. A mass M is suspended vertically by a damped spring of length L and stiffness k such that the distance x between the centre of the mass and the top of the springis given by M (d^2 x)/(dt^2...

I have read posts about this but still don't have a good handle on it. I am confused about something that I know is simple. If a mass is attached to a spring, the spring will stretch according to Hooke,s law, correct? So won't the weight, (mg) balance out the spring force of -kx? So in other...

Hello everyone, I did an experiment titled 'mass on a spiral spring' in order to find the value for the acceleration due to gravity. The experiment consists of two parts. In the first part of this experiment, I just measured the oscillation period of a spring as a suspended mass and plotted...

Homework Statement A mass m at the end of a spring oscillates with a frequency of 0.84 Hz . When an additional 730 g mass is added to m, the frequency is 0.65 Hz . Homework Equations f*2pi = w w = (k/m)^1/2 f = (1/2pi)*(k/m)^1/2 The Attempt at a Solution I simply used the third equation...

Homework Statement A spring with a spring constant of 5.0 N/m has a 0.25 kg box attached to one end such that the box is hanging down from the string at rest. The box is then pulled down another 14 cm from its rest position. Calculate the maximum height, the maximum speed, and the maximum...

I'm not sure if this is the appropriate place, but I've just been searching, with no luck, on how to solve a spring system with RK4 (hence the math section, since it's a Runge Kutta question). How would you set it up to change position based on spring properties? I haven't really found any...

Homework Statement Block 1 (mass 2 kg) is moving rightward at 10 m/s and block 2 (mass 5kg kg) is moving rightward at 3 m/s. The surface is frictionless, and a spring with spring constant of 1120 N/m is fixed on the left side on block 2. When the blocks collide, the compression of the spring is...

Evening all, I've recently undertaken a project where my roll is to analyse the suspension of a mountain bike. The suspension unit in question is a Rock Shox Monarch RT3. To give a brief summary: The shock uses compressed air as the spring, the pressure is adjustable via an air valve. The shock...

Evening all, I've recently undertaken a project where my roll is to analyse the suspension of a mountain bike. The suspension unit in question is a Rock Shox Monarch RT3. To give a brief summary: The shock uses compressed air as the spring, the pressure is adjustable via an air valve. The shock...

Homework Statement An ideal spring is hung vertically from the ceiling. When a 2.0 kg mass hangs from it at rest, the spring is extended 0.06 meters from its relaxed state. An upward external force is then applied to the block to move it upward a distance of 0.16 meters. While the block is...

Homework Statement We have a mass m at x = 0 attached to a spring with spring constant k which is moving at constant velocity v such that the position of the spring is described by X = l + vt where l is the equilibrium length of the spring. Solve for the motion of the mass. Homework...

Homework Statement Two masses A, and B both sit on a vertical spring. If the spring is compressed then released, why do A and B rise to the same height? (the mass of A is greater than that of B) Homework Equations P = mgh S = 1/2kx2 K = 1/2mv2 The Attempt at a Solution Both masses rise to the...

I need to find the work done with springs but I don't understand this equation too well, can someone help me know what are each variable and how to find each of them? WH - fF*d = ΔK + ΔUs + ΔUg? I know that "WH" is the work done by the hand and that "fF*d" is force of friction * displacement...

Homework Statement Hi everyone! Here is a new problem about oscillations! Thx to all of you, I'm definitely making progress in the field. Let's see how that problem goes: A pendulum of mass m is hanging on a string of length L and is "pushed" by a spring with spring constant k. At the deepest...

It's not a homework/coursework question but I did get the system from my textbook. http://puu.sh/o03h7/32cdf7cffb.jpg I solved the question by analyzing the system at different stages. Initially both objects are moving with a velocity and having some mass so their kinetic energies are the...

centrifugal force apply force to spring while it spinning, how to calculate it's compression. there is no any attached mass on spring. just centrifugal force depends on RPM. weight of spring is important, centrifugal force is changing by radius, so it's not uniform.

Homework Statement Suppose is a 10kg block sitting at rest on the ledge of a building 20 meters tall. The 10kg block applies a Force of F = ma = 10kg(10m/s^2) = 100N. The potential energy with reference to the ground would then be PE = mgh = 10kg(10m/s^2)(20m) = 2000J. If the 10kg block is...

Homework Statement Hi everybody! Two masses m1 and m2 are connected with a spring one after the other to a wall (see attached picture). The spring constants are k1 and k2. To consider here are only longitudinal oscillations and no external forces. a) Express the Newtonian equations of motion...

Homework Statement Ok so here is the prompt: a 3kg object is fastened to a light spring over a pulley. The pulley is frictionless and its inertia may be neglected. The object is released from rest when the spring is unstretched. If the object drops 0.1 meters before stopping, find the spring...

Homework Statement Hi everybody! I'm trying to solve a basic problem about oscillations, but I struggle to get everything together when it comes to the differential equation...I hope someone can help me to understand it better :) A thin bar of mass m and length l is pivotable about its...

Homework Statement A 1.5 inch spring is .75 inches at solid length when fully compressed. The spring force is rated at 400 lbs per inch. A 3 kilogram mass will be pushed by the spring. What is the velocity of the mass at the instant the spring has fully decompressed. It will take the spring...

Homework Statement You are asked to design spring bumpers for the walls of a parking garage. A freely rolling 1100 kg car moving at 0.66 m/s is to compress the spring no more than 9.0×10−2m before stopping. What should be the force constant of the spring? Assume that the spring has negligible...

The equations I'm getting when I solve the differential equations seem to imply that the amplitude of oscillation does not vary in time. For example, if I have x'' + ω02x = cos(ωt) If we suppose that ω≠ω0, then the general solution should look something like: x(t) = c1cos(ω0t) + c2sin(ω0t)...

Homework Statement The mass of block A is 10kg. The block is at rest and the spring has a K = 25N/m is unstretched when the block is in the position as shown. One second after the block is released, find the acceleration and velocity of the block and the tension in the cable. My teacher gave us...

In my current time frame for graduating I will be finishing in the Fall of next year. I'm scared because I know a lot of graduate programs don't take people starting in the Spring, so would it be better if I waited an extra semester, maybe take a graduate course or something?

By squeezing a spring until it coils up, it then has more potential energy. So it will then have more mass, because mass is energy. So doesn't that violate the law of conservation of energy. The spring has more energy and mass after its squeezed than when it wasn't squeezed?

Awhile back, I was learning about springs, and restoring/distorting force. We even did an experiment where we hung a spring and put weights on it and pulling it down, watching it oscillate. From this, I assumed the distorting force was the force that stretched the spring and restoring force is...

Homework Statement A 50-gram mass is accelerated from rest be a compressed spring (k = 1800 N/m), sending it on a journey along a frictionless loop-de-loop of radius 0.324 m. What minimum amount of initial compression of the spring is required if the mass is to remain in contact with the track...

Homework Statement my spring constant is 85 N/cm and I have to convert to N/m Homework Equations why does stoichiometry not work on this? How would I approach conversions like this? The Attempt at a Solution I tried converting the 85 N/cm to N/m and ended up getting 85*10^2 N/m. This was...

Homework Statement Spring connected to a pendulum holding a ballwith mass m, length l, spring constant k, spring deflection x, angle of pendulum alpha, angular velocity w.Homework Equations Derive the angular acceleration The Attempt at a Solution I made the three body diagram, and find that...

Imagine a spring that has its two ends attached to a wall at the same height. The spring will adopt a kind of a ''U'' shape (maybe a parabollic shape would be more precise). Why are the coils near the wall more distant from each others than the coils at the middle of the spring ? I think it is...

Homework Statement A spring of unstretched length l has a mass m with one end fixed to a rigid support. Assuming spring to be made of a uniform wire, the kinetic energy possessed by it if its free end is pulled with uniform velocity v is? 2. Homework Equations potential energy stored in a...

In my springs what would the spring constant need to be If I am 1.8m tall and I weigh 68 kg

Homework Statement Homework Equations ΔUelastic = 1/2(kxf2) - 1/2(kxi2) ΔK + ΔUg + ΔUelastic = 0 The Attempt at a Solution a) I used ΔUelastic = 1/2(kxf2) - 1/2(kxi2) and found xf - 0.126 m. b) Should I use ΔK + ΔUg + ΔUelastic = 0? I am unsure where to start for this one. How do I go about...

Homework Statement I reference the problem posted here: https://www.physicsforums.com/threads/work-and-spring-problem.194531/ Homework Equations Work = Force * Distance F = kx The Attempt at a Solution Wouldn't the limits of integration in part 2 be from 5 to 9, since x is the compression...

Homework Statement The masses C, of magnitude 2m, and B, of magnitude m, move with velocity V and hit a stationary mass A of magnitude m. the collision lasts a very short time and is plastic but the masses don't stick together. the spring with constant k is ideal and the surface is smooth...

Homework Statement If I found how much it stretches, do I just add it to the original length I started with to find total new length? For instance, the original length was 1.168m and I found x to be 0.90m, do I just add them together for the total length? Homework Equations F=kx The Attempt...

Homework Statement A block of mass 1 kg is attached to a spring. The spring extends by 10 cm. Find spring constant.Homework EquationsThe Attempt at a Solution Potential energy of spring = kx2/2 work done by block = PE Hence mg*x=kx2/2 ∴1*9.8*0.1=k*0.1*0.1/2 ∴k=196N/m But solution says mg = kx...

Homework Statement The collar has a mass of 30 kg and is supported on the rod having a coefficient of kinetic friction of 0.4. The attached spring has an unstretched length of 0.2 m and a stiffness of k =50 N/m. Determine the speed of the collar after the applied force F= 200N causes it to be...

Homework Statement A massless spring with force constant k = 200N/m hangs from the ceiling. A 2.0 kg weight is attached to the free end of the spring and released. If the weight falls 17 cm before starting back upwards, how much work is done by friction during its decent? (Note: choose ground...

Homework Statement When an 98.0-g piece of toast is inserted into a toaster, the toaster's ejection spring is compressed 7.20 cm. When the toaster ejects the toasted slice, the slice reaches a height of 3.4 cm above it's starting position. What is the average force that the ejection spring...

The attached picture sums up my experiment. I used a slinky (a kind of a bouncing spring) to see the relationship between its maximum length when released and the length of its first rebound. However, I released the slinky using various different magnitudes of force. I used a sensor (a LabQuest...

Homework Statement A horizontal plank (mass 2kg, length 1m) is pivoted at one end. A spring (k=1000N/m) is attached at the other end. Find the angular frequency for small oscillations. Answer: ω=39rad/s Homework Equations ω = √(mgd + kΔxd/I) I think I would be treating the plank as a long...

Homework Statement A 5 kg bowling ball moves at 10 m/s on a flat and frictionless surface. It hits a massless bumper with a spring constant of 100 N/cm. How far (in cm) will the spring compress? Homework Equations |F| = |kx| Fnet = ma The Attempt at a Solution This is mostly a plug and chug...

Homework Statement Homework EquationsThe Attempt at a Solution Is it possible to solve this problem without using Hamiltonian Mechanics (just by Newtonian). My instructor expects use to solve this problem without any knowledge of any advanced classical mechanics. I tried to solve this...

Homework Statement on frictionless surface there are two objects m1 = 0.9 kg m2 =1.6 kg at first these two are held by person an spring is shrined L = 10 cm . After that first objet is released and when this object is in it's equilibrium moment another object is released . Find maximal...

Hello, I'm trying to figure out a general physics problem here and I'm trying to relate energy held in a rotating shaft to be dissipated by a torsional spring. Let's say I have energy E (Joules), shaft outer diameter D, and torsional spring capacity T. T is what I'm designing for with all...

Hi, Could you please help me determine if I've worked this problem out correctly. 1. Homework Statement A 2.86-kg object on a frictionless horizontal surface oscillates at the end of a spring with an amplitude of 7.81 cm. Its maximum acceleration is 3.74 m/s2. Calculate the total...