Springs Definition and 651 Threads

Spring Force is F = -kx So, because the force is not constant, the acceleration is also not constant.. How then can we apply Newton's second law: F = mass x acceleration to springs?

For instance, if an object moves with a constant velocity on a frictionless surface and hits a spring that makes it go the other way (180 degrees), will the object continue the other way with the same exact velocity regardless of the spring coefficient? Or does the spring coefficient matter?

A physics student pulls a block of mass m = 25 kg up an incline at a slow constant velocity for a distance of d = 4.5 m. The incline makes an angle q = 33° with the horizontal. The coefficient of kinetic friction between the block and the inclined plane is µk = 0.3. a) What is the work Wm...

Homework Statement It feels good to be back after spending a month in the calculus and beyond section. Here is my question [PLAIN]http://img97.imageshack.us/img97/3883/unleduh.jpg Imagine a spring was pushed back by some distance x_0 and then it ends up at some distance 5m up the ramp...

Homework Statement An ingenious bricklayer builds a device for shooting bricks up to the top of the wall where he is working. He places a brick on a verticle compressed spring with force constant k=450N/m and negligible mass. When the spring is released, the brick is propelled upward. If the...

Hey there, [SIZE="5"]The Question Points A,B,C,D, and E lie in a straight line. AB=BC=15 cm, CD=10 cm and DE=20 cm. A particle is moving with SHM so that A and E are the extreme positions of its motion. The period of the motion is 0.2s. Find the time the particle takes to get from B to D i)...

Homework Statement A spring has a spring constant k. If the spring is cut into two equal parts, what is the spring constant of both of the new springs?Homework Equations The Attempt at a Solution I was wondering if this sort of problem relates to circuits. A spring cut into two is sort of like...

Please consider the following case: Spring connected at both ends by some masses.Everything is ideal. Find the extension of the spring. http://img101.imageshack.us/i/unledpi.jpg/ http://img101.imageshack.us/i/unledpi.jpg/ My big question is ...if the spring extends by a length say...

Okay, so two equal masses are connected by spring with spring constant k. The kinetic energy is obviously 1/2*m*x1dot^2 +1/2*m*x2dot^2. Please excuse my notation. x1 and x2 are the positions, x1dot and x2dot are the velocities. L is the length of the spring when not stretched. So anyway...

Homework Statement Problem:A force of 5kg compresses the spring in series 10cm. What will be the total distance that the springs in parallel are compressed. Givens: S1,S2,S3,S4 are in parallel being forced by a 5kg weight. Homework Equations F=-kx but k is not given so it is assumed to be...

Homework Statement A 3-storey building can be modeled as a system of coupled masses and springs as showen in attached document. Where mi is the mass of each floor, ki is the spring constant, xi is the displacement of each floor, and ci is the damping coeffcient. Homework Equations I...

Homework Statement The Attempt at a Solution I could say that (A)(B) are correct and (C) is wrong and i know 4kg block will have acceleration but i don't know how to find it.

Homework Statement Why there won't be any friction?

A 2.0 kg mass and a 3.0 kg mass are on a horizontal frictionless surface, connected by a massless spring with spring constant k=140N/m. A 15 N force is applied to the larger mass, as a shown (see picture). How much does the spring stretch from its equilibrium length? I've solved...

Homework Statement A mass is connected between two identical springs with the same spring constant, k. The equilibrium length of each spring is L, but they are stretched to 2L when the mass is in equilibrium. Ignoring gravity, find the equations of motion and then angular frequency of...

Homework Statement A 0.020 kg cart is held between two identical, stretched springs. A force of 2.0 N is employed to hold the cart in a position 0.10m from equilibrium. The cart is then released and allowed to vibrate from the 0.10 position. a) What is the force constant for the...

Homework Statement There are three springs A, B and C with equal force constants as k. Springs are placed such as the angle between two consecutive springs is 120 degrees. Calculate the time period of oscillation if the mass is slightly pushed towards C and released.Homework Equations Force...

Homework Statement A block of mass M is compressed a distance x against a spring which has a spring constant k. When released, the block slides along a frictionless surface until it undergoes a completely inelastic collision with a block of mass 3M. The two blocks travel together some distance...

Homework Statement A spring with a spring constant of 1.8 X 102 N/m is attached to a 1.5 kg mass and then set into motion. a. What is the period of the mass-spring system? b. What is the frequency of the vibration? Homework Equations The only one that comes to mind would be Hooke's Law...

Homework Statement A vibrator moves one end of a rope up and down to generate a wave. The tension in the rope is 63 N. The frequency is then doubled. To what value must the tension be adjusted, so the new wave has the same wavelength as the old one? Homework Equations (1/2)kx^2 and/or...

Homework Statement Hi I can't seem to get a diagram for this question. Can anyone help and also please explain the subsequent diagram. This is the question. A particle of mass 0.8kg is attached to the ends of 2 identical light elastic springs of natural length 1.6m and modulus of elasticity...

Hey all, I'm working with springs and I curious as to how I find out the N/m of any given spring. like if the maximum work load of a spring is 20 pounds how could I figure out the N/m of it (or the 'k', the spring constant, or what information about the spring do I all need to determine the...

Homework Statement To measure the static friction coefficient between a 1.64-kg block and a vertical wall, the setup shown in the drawing below is used. (The dots are only there because spaces didn't work) ......| ......|W SPRING----->(Block)|A ......|L ......|L ......| A spring (spring...

Homework Statement A block having mass m and charge + Q is connected to a spring having constant k. The block lies on a frictionless horizontal track, and the system is immersed in a uniform electric field of magnitude E, directed as shown in Figure P25.11. If the block is released from rest...

Homework Statement A mass is oscillating on a spring with a period of 1.45 s. At t = 0 the mass has zero speed and is at x = 8.80 cm. What is the magnitude of the acceleration at t = 2.30 s? Homework Equations x(t)=Acos(wt + phi) a(t)=-Aw^2cos(wt + phi) a=w^2x T=2pi/w The Attempt...

In the figure below, two springs are attached to a block that can oscillate over a floor. If the left spring is removed, the block oscillates at a frequency of 27 Hz. If, instead, the spring on the right is removed, the block oscillates at a frequency of 43 Hz. At what frequency does the block...

Homework Statement A 5.0kg mass held is between two springs of unstretched length 0.1m such that the springs are horizontal. The mass is then released in such a way that it is supported against gravity by these two springs. What angle do the springs make with the vertical at equilibrium...

1. Two springs each of natural length a and spring constant C are connected at one end(see figure).Consider a two dimensional displacement given by (x,y). (a)Write the potential energy as a function of x and y. (b)Find the force vector for a given (x,y) pair. 2. \vec{F}=-k\vec{x}(Hookes Law)...

Homework Statement Two springs, each with unstretched length 0.200 m, but with different force constants k1 and k2, are attached to opposite ends of a block with mass m on a level, frictionless surface. The outer ends of the springs are now attached to two pins P1 and P2, 0.100 m from the...

Homework Statement A ball of mass 1 kg is attached to a spring. The spring is attached to a fixed pivot, P. The spring cannot bend. The ball moves in a circle of radius R in a horizontal plane with a velocity v. The spring is mass-less and the plane is frictionless. (a) If R = 1.0 m and v...

Homework Statement I have been having a little discussion with a friend. We both know that for a spring/damper system in parallel like shown below, the associated free body diagram is correct. http://img337.imageshack.us/img337/2023/para0.jpg But when it comes to the same system in...

Hi Guys, I have been trying to implement this in ANSYS all day. It is probably really simple but could you please help me: http://yfrog.com/jlspringsupportp The trouble is the spring supports. I basically want to get the forces in the springs due to different loads. I can't find a...

If there are two identical springs with same length and spring constant, why would the combination of the two springs in parallel be stiffer (that is have a greater spring constant) than the springs alone?

Homework Statement A falling body has a mass of 15 kg over a height of 135 m onto a spring. The spring has a spring constant of 1.95*105N/m. a) How far is the spring compressed? b) At the point where the body's impact on the spring scale the greatest, what is the reading? c) Assuming all...

I am in a Physics I class and need help with my homework. There are a couple problems involving springs that I don't know how to do. I think if I can figure out how to do one of them, I would be able to do the other, so I'll just post one question for now. Homework Statement A ball is...

Homework Statement A uniform 1.3-kg rod that is 0.71 m long is suspended at rest from the ceiling by two springs, one at each end of the rod. Both springs hang straight down from the ceiling. The springs have identical lengths when they are unstretched. Their spring constants are 57 N/m and...

Homework Statement The innerspring mattress on your grandmother’s bed is held up by 20 vertical springs, each having a spring constant of 5000 N/m. A 48 kg person jumps from a 1.95 m platform onto the innersprings. The acceleration of gravity is 9.8 m/s2 . Assume: The springs were initially...

Homework Statement Suppose that I hang a 100 gram mass from a spring. When I do this, I find that the srping stretches 10 centimeters. 1)What is the gravitational force on the mass that I hang from the spring? give your answer in Newtons 2)what is the force that the spring is exerting on the...

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...

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...

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...

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...

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...

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...

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...

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...

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...

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...

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...

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...