![]() If we had completed this study about 350 years ago (and if we knew some Latin), we would be famous! Today this quantitative relationship between force and stretch is referred to as Hooke's law and is often reported in textbooks as Translated from Latin, this means "As the extension, so the force." In other words, the amount that the spring extends is proportional to the amount of force with which it pulls. This relationship between the force applied to a spring and the amount of stretch was first discovered in 1678 by English scientist Robert Hooke. This strong fit lends credibility to the results of the experiment. The fact that the regression constant is very close to 1.000 indicates that there is a strong fit between the equation and the data points. The plot is shown below.Ī linear regression analysis yields the following statistics: The data table below shows some representative data for such an experiment.īy plotting the force-stretch data and performing a linear regression analysis, the quantitative relationship or equation can be determined. A regression analysis of the force-stretch data could be performed in order to determine the quantitative relationship between the force and the amount of stretch. The force which is applied in each instance would be the weight of the object. For each object which is added, the amount of stretch could be measured. To determine this quantitative relationship between the amount of force and the amount of stretch, objects of known mass could be attached to the spring. Exactly what is the quantitative relationship between the amount of pulling force and the amount of stretch? And if you were to pull with a much greater force, the spring would stretch a much greater extent. If you were to pull with just a little force, the spring would stretch just a little bit. If you were to hold the bottom of the spring and pull downward, the spring would stretch. The spring hangs in a relaxed, unstretched position. Consider the system shown at the right with a spring attached to a support. We will begin our discussion with an investigation of the forces exerted by a spring on a hanging mass. Such quantities will include forces, position, velocity and energy - both kinetic and potential energy. Now we will investigate the motion of a mass on a spring in even greater detail as we focus on how a variety of quantities change over the course of time. The mass on a spring motion was discussed in more detail as we sought to understand the mathematical properties of objects that are in periodic motion. This line of casual shoes is designed to provide ultimate comfort while keeping the sleek athletic look you love.In a previous part of this lesson, the motion of a mass attached to a spring was described as an example of a vibrating system. When you're finished going the distance check out our men's sport style shoes. New Balance offers running shoes crafted to grant you the support, comfort, and durability you need to conquer any and every run. Soft, light, cushioned, and breathable, our running shoes are crafted with the best performance in mind - no matter the run, the PR, or the obstacle. New Balance running shoes for men range from racing spikes to trail running shoes. Shoes for Racing, Cross Country, and Track & Field Whether you seek an aggressive sport shoe, cushioned runner, or a lightweight running shoe, there is a New Balance running shoe out there for you. New Balance is proud to offer top styles in wide running shoes so you can push forward in comfort. Finding a good fit in your shoes is crucial. With a variety of stylish and savvy options, never again do you need to choose between fashion and function. The best part? New Balance running shoes look as good as they feel. Whether you're looking for your next pair of jogging shoes, stability running sneakers, or distance running shoes, New Balance has something for every run and every man. No matter the run, the terrain, or the goal, New Balance makes a running shoe for men that's guaranteed to provide lasting comfort and stability.ĭesigned without compromise, New Balance men's runners provide a responsive ride that fuels your workout - in other words, get ready to feel faster-than-fast. Ready to elevate your run? New Balance is proud to present a line of carefully cultivated and mindfully crafted men's running shoes that are designed to protect, conform, endure, and outperform.
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