Spring Definition and 999 Threads

Homework Statement Derive Newton's and Lagrange's equation of motion for the system. Discuss differences and show how Newton's equations can be reduced to lagrange's equations. Assume arbitrarily large θ. The system is a pendulum consisting of a massless rod of length L with a mass m...

Homework Statement (Sorry for my bad English) A slippery (frictionless), light horizontal bar rotates about a vertical axis with a constant angular velocity ω. A cylinder with mass m, is initially attatched to a thread with length a and to a spring, which from the beginning has its "natural"...

For an introduction to the Curiosity Questions, please see the intro to Curiosity Question 1 Here is the first part of another problem I made up. As I said in Question 1, I am posting this for a) the enjoyment of everyone who reads them b) work checking to see if they are riddled with mistakes...

Homework Statement Derive Newton's and Lagrange's equation of motion for the system. Discuss differences and show how Newton's equations can be reduced to lagrange's equations. Assume arbitrarily large θ. The system is a pendulum consisting of a massless rod of length L with a mass m...

Homework Statement Hi, I am thinking about a stretched spring with a mass on it. When the spring is fully extended and has just started to pull the mass back towards the equilibrium point, is the work positive or negative? Homework EquationsThe Attempt at a Solution [/B] I think as the...

Homework Statement I have a physics midterm on Wednesday and I'm doing some practice problems to prepare. On one of them, I'm getting an answer that is extremely close to the answer my TA gave me for the problem and I can't tell if it's rounding or if I'm missing something. A mass is attached...

Homework Statement Imagine that you have been given the job of desiging a new bungee jumping platform. Customers of mass 53.0 kg will step off a platform, attached to a rope of unstretched length 52.6 m and spring constant 17.0 n/m. How far below the platform will the end of end of the rope...

I know this is an idealization, but I'm wondering if there is a reason this idealization works so well. Is it related to the coil of the spring or the bonds between each atom in the spring? I have considered using ## F = \frac{kq_1q_2Nsin\left(\theta \right)}{r^2} ## Where: ##...

Attached is my ANSYS model of a spring made using cantilever beams. In playing around with with different dimensions, I noticed that the longer I made the connecting section (dirty green section) the less of a total deflection there was. Could someone explain to me why this is? The overall goal...

A block slides from rest, along a track with an elevated left end, a flat central part, into a relaxed spring, as shown in the figure. The curved portion of the track is frictionless, as well as the first portion of the flat part of L = 10 cm. The coefficient of kinetic friction between the...

Homework Statement Two large crates, with masses 575 kg and 255 kg, are connected by a stiff, massless spring (k = 7.8 kN/m) and propelled along an essentially frictionless, level factory floor by a constant force applied horizontally to the more massive crate. If the spring compresses 4.7 cm...

Homework Statement A 50g mass is attached to a spring and undergoes simple harmonic motion. It's maximum acceleration is 15m/s and maximum speed is 3.5m/s. Determine a)angular frequency, b) spring constant, c) amplitude. Homework Equations ω = √k/m X(t) = A*cos(ωt + ∅) The Attempt at a...

The goal is to measure the spring constant of a spring and then calculate a theoretical period of the oscillation and compare the results to a real life measurement. Extension of spring A: Neutral: 52 cm 1 N: 41 cm 2 N: 30 cm F = kx k = 9.1 N/m 10 oscilliations = 9.26 seconds Calculating the...

1. I have two blocks, one that is 1.6 kg moving left at 3.00 m/s and the other is 2.1 kg moving right at -1.74 m/s, and they are compressing a block with a spring constant of k=600 N/m. I'm supposed to be finding the distance that the spring is compressed at that instant, and I know that...

http://imgur.com/rE7jLlC When setting up the sum of forces I had an unknown value for the spring, buoyancy, and normal force. What I tried was setting up a triangle to find the length of the spring, which was 1.039m with that I could find the force acting on the spring, 4.3N, which would be the...

Homework Statement A small ball with mass M attached to a uniform rod of mass m and length l pivoted at point o and attached to two springs with spring constant k1 and k2 at distance d1 and d2 from point o as shown in Fig 2. The system oscillates around the horizontal line. Assume the system...

Homework Statement A block of mass m1 slides along a frictionless table to the right with a speed of v1. A second mass M2 slides in the same direction with a speed of v2 such that it will collide with m1 which is in front of m2. Say that a spring of stiffness k is attached to one of the masses...

Homework Statement The figure has 2 blocks, each 320 g connected by a light string. The horizontal surface is smooth. The block A is attached to a spring of spring constant 40 N/m whose other end is fixed 40cm above the horizontal. Initially the spring is vertical and unstretched. Homework...

Homework Statement A block of mass 250 g is kept on a vertical spring with spring constant 100N/m fixed from below. The spring is now compressed to have a length 10 cm shorter than its natural length and is released. How high does the block rise?g = 10m/s Homework Equations E=½kx² and other...

Homework Statement [/B] The force constant of a spring is 600 N/m and the un-stretched length is 0.72 m. A 3.2-kg block is suspended from the spring. An external force slowly pulls the block down, until the spring has been stretched to a length of 0.86 m. The external force is then removed, and...

Homework Statement Figure 8-36 shows an 8.00 kg stone at rest on a spring. The spring is compressed 10.0 cm by the stone. (a) What is the spring constant? 2. Relevant formula Mechanical energy is conserved The Attempt at a Solution The decrease in gravitational potential energy that occurs...

Suppose we have two boxes, A and B with different masses, the spring is fixed to block A. Then we take block B and press it against block A so that the spring compresses. Afterwards, we let go of both boxes. If we were to model this using the conservation of energy, then it is known that...

Homework Statement The hand in (Figure 1) (a) holds a vertical block-spring system so that the spring is compressed. When the hand let's go, the block, of mass m, descends a distance d in a time interval Δt before reversing direction in (Figure 1) (b). Once the system comes to rest, the...

Homework Statement A box has the mas 50.0Kg. The box slides on a horizontal surface that has friction. The box has the velocity 3.00m/s when its 0.600m away from a spring with negligible mass and the force coefficent 20Kn/m. The box hits the spring and comes to a momentary rest after...

Homework Statement A block of mass M is connected to a spring of mass m and oscillates in simple harmonic motion on a horizontal, frictionless track. The force constant of the spring is k and the equilibrium length is l. Assume that all portions of the spring oscillate in phase and that the...

So if I have a block of mass connected to a spring with spring constant k. If I pull the spring with force F, what is the force that is pulling the block? Is it F or the restoring force of the spring? I think it should be the restoring force of the spring, but if it is F, why is it so?

Homework Statement Suppose a block of Uranium and a block of Radium, both with edge length \lambda , are pushed to the head of an un-stretched spring (spring constant k , un-stretched length \delta _0 ). The combination, pushed \delta farther, compresses the spring. Upon release, the...

Homework Statement A continuous cable of total length 4 m is wrapped around the small pulleys at A, B, C, D. If each spring is stretched 300 mm, determine the mass m of each block. Neglect the weight of the pulleys and cords. The springs are unstretched when d=2 m. The Attempt at a Solution I...

What I want to do is model the rotational behaviour of two bodies (1 and 2). They are connected by three virtual rotational springs (representing a link between them). For a normal (translational) spring the forces on body 1 in X, Y, and Z would be easily calculated as: $$ \mathbf{F}_1 =...

Homework Statement What force is necessary to stretch a spring 48 cm, if the spring constant is 270 N/m? Homework Equations 1/2kx^2 The Attempt at a Solution tried plugging everything into equation and got 31 but it is wrong. Any help would be greatly appreciated

Find the spring constant by timing simple harmonic motion. I have done a Hooke's law experiment already and found out about initial tension. What I learned was: force ≠ spring constant x displacement force = initial tension + (spring constant x displacement) So using F=kx would not give an...

Homework Statement For a grade 12 physics project we have to stretch a spring along an inclined plane and then let go so that it hits a target. I know the mass of the spring, the angle of the incline, the height of the incline (how high the front of the spring would be off the ground before...

Homework Statement For the following arrangement of two springs, determine the effective spring constant, keff. This is the force constant of a single spring that would produce the same force on the block as the pair of springs shown for this case. (Spring 1 is attached to Spring 2 which is...

1. Consider the situation shown in figure. Initially the spring is unstretched when the system is released from rest. Assuming no friction in the pulley, find the maximum elongation of the spring. https://drive.google.com/file/d/0B3FvaDRwJ2neQWtBU3JrazVTeEU/view?usp=sharing Homework...

Homework Statement A mass m = 750 g is connected to a spring with spring constant k = 1.5 N/m. At t = 0 the mass is set into simple harmonic motion (no damping) with the initial conditions represented by the point P in the phase space diagram at the right. **(This phase space diagram has...

Homework Statement a block of mass m as shown in figure lies on a smooth horizontal surface and springs are at natural length. when the block is displaced slightly then find the time period of oscillation Homework Equations $$T=2\pi\sqrt{\frac{m}{k}}$$ for series connection of...

Homework Statement Here is the problem that I am stuck on in my mechanics class. https://lh4.googleusercontent.com/ygXVjNfI4iP8xVpEjhxXZlWlDqg_VrM2gCVFLyomOVwWCfcLU78mIcPEc7hEzUqBoACIiQ=w1210-h506 Homework Equations F=-kx The Attempt at a Solution See the attached picture of my work...

Homework Statement A spring has a stiffness of 30 KN/m and supports a mass of 8 kg. The mass is pulled so that the spring t extends by amplitude of 10 mm and its released so that it produces linear oscillations . Homework Equations (i) Determine the periodic time,circular frequency,and the...

Homework Statement Two blocks, each of mass m, are connected on a frictionless horizontal table by a spring of force constant k and equilibrium length L. Find the maximum and minimum separation between the two blocks in terms of their maximum speed, vmax, relative to the table. (The two blocks...

Homework Statement A 50g block is attached to a vertical spring whose stiffness constant is 9N/m. The block is released at the position where the spring is unextended. What is the maximum extension of the spring? How long does it take the block to reach the lowest point? Homework Equations...

In Hooke's law, F=-kx. Assume that a mass is hung from the end of an ideal massless spring, the spring stretches a distance of x. However, in real life the spring has mass and it is submerged in a "fluid" of air. Compared to an ideal spring, would the real spring have a slightly different...

I am working on a project that uses a box design with a base. The base has two through holes on the the outer edges that will be used to slide up and down with in the box. The box will support two guide rods where the base can slide up and down. My intention was to use springs so that as...

Homework Statement A former student of mechanics wishes to weigh himself but has access only to a scale A with capacity limited to 400 N and a small 80 N spring dynamometer B. With the rig shown he discovers that when he exerts a pull on the rope so that B registers 76 N, the scale A reads 268...

Homework Statement An "extreme" pogo stick utilizies a spring whose uncompressed length is 46 cm and whose force constant is 1.4 x 10^4 N/m (14000). A 60 kg enthusiast is jumping on the pogo stick, compressing the spring to a length of only 5.0 cm at the bottom of her jump, Calculate; a) The...

I have to find the velocity of the cart when it lands right under the spring at 90 degrees. The spring is at an angle. I am not getting the right numbers though, can anyone help? This is my first post here BTW. This community looks awesome! 2. Equations You can use anything, but I used both...

Homework Statement You suspend a bowling ball of mass m using a spring and a rope. The spring is horizontal and has spring constant k; the rope makes an angle θ with the vertical. Answer all parts in terms of m, g, k, and θ. a) What is the tension T in the rope? b) Your arch nemesis cuts...

Assume a spring with a mass attached is oscillating. Can i find spring constant from force/time and position/time graph using mgh=1/2kx^2? The force in force/time graph is collected from force meter attached at the top of the spring. The positin in position/time graph is the distance of the mass...

Hi, We have been trying to make a machine that tests springs. ( a simple drawing is attached ) We place the spring between two points. The top point has an s-type loadcell attached to get the force data. The initial size of the spring is 150 mm's. (L0 size) For the experiment we stretch the...

Homework Statement Homework Equations PE spring = .5 kx^2 KE rotation = .5 I w^2 The Attempt at a Solution I tried to do a conservation of energy (Note: I = moment of inertia, L = length) 3*.5*k L^2 = .5 I w^2 I =3 M R^2 ---> a^2 = b^2 + c^2 -2bc cos(a) (the reason why I am using law of...