So we can use hookes law to derive fkd, or fael d where k is the rod axial stiffness, f is the applied force, and d is the deflection we solve for. Homework statement which one obeys hookes law and why. Graph relating load force and spring extension in hookes law. Various springs of different construction are included, so students can better understand the physical meaning of the spring constant. Hooke s law makes for a great guided inquiry topic since students have some background knowledge about springs from the previous lesson. Twelfth grade lesson springing into hookes law betterlesson. Description softwareconnectivity experiments documents. Because the force is proportional to displacement of the spring from its equilibrium position, a mass attached to the spring will undergo simple harmonic motion. Therefore, the spring constant k is the slope of the straight line w versus x plot. The physical slope of the graph, is equal to the force constant, k, of the spring. The fact that the graph is a straight line means that the system obeys hooke s law. Hookes law lab report introduction and experimental. The slope of the graph is the force constant k k size 12k. This lab is set up for us to to be able to determine the spring constant with two different methods and the.
After that, it starts to curve which is the elastic region. Graph illustrating the proportional extension relative to the applied force figure 1. That implies direct proportionality because you start with your sample at a given shape size and then measure the extra forces needed to change it. You are to make a graph that elucidates the relationship between the force. An animation tutorial from seta science explored through animation on hookes law. Investigating hookes law graph drawing teaching resources. A practical guide to afm force spectroscopy and data analysis fishing for single molecules the atomic force microscope afm is best known for its. Hookes law says that the stretch of a spring from its rest position is.
Hooke s law states that stressstrain is a constant the young modulus. Make sure that your graph has a title, axis labels with units, axis scales, data points, the best fit line. Hooke s law is not obeyed after that ofcourse as the extension caused on an elastic body is proportional to the force that causes it. But when its over stretched beyond its limit point, it loses its elasticity and becomes plastic, and later cuts or breaks. Apply hookes law relationships to analyzing tissue of a known surface area. Physics lab report 2 hookes law and simple harmonic. Hooke s law states that the force needed to stretch the elastic material is proportional to the extension of the material. You are likely to find a linear relationship between force and displacement. F kx 1 equation 1 shows that force f is equal to the extension of the object x multiplied by the constant of elasticityspring constant k. I am conducting an experiment on hooke s law although we have not learnt it yet, hence there are no links to such information, the experiment revolves around the testing of a spring and elastic band for similarities between their forces versus extensions. Procedure in this lab, you will observe a mass on a spring and. We also present an adequate methodology to develop the analysis of graphics that students will obtain in a laboratory when they follow the new method suggested. Hookes law is a scientific law concerning itself with the elasticity of materials. Hooke s law hooke s law, f kx, where the applied force f equals a constant k times the displacement or change in length x.
Hookes law and simple harmonic motion lab introduction. As discussed in the previous lecture, it is important not to lose sight that the material element is a threedimensional body and we have only been considering a twodimensional view of it. From equation 2, if hooke s law is obeyed by this spring, then the force f. Hooke s law says that the stretch of a spring from its rest position is proportional to the applied force or as the engineers put it. This question was answered by robert hooke, a contemporary and rival of isaac newton, and the answer has come to be called hookes law. As to where the graph stops it all depends what the material is and what shape it is. Modern computer software takes just about all of the drudgery out of data analysis. In other words force is proportional to the extension of stretched material. Justify the nonexistence of a spring constant, with reference to last weeks lab or justify the rubber bands obedience to hooke s law, based on a graph. To determine the spring constant k of a single spring using hooke s law. Hookes law is a law in physics stating that the force needed for a spring to either extend or compress by a specific distance scales linearly with respect to force acting on that spring until the elastic region of the material is reached. Hookes law experiment hookes law experiment and analysis. Hookes law experiment results and analysis dan best.
Seta science, explored, through, animation is a new and fun way to learn science. The slope of this graph is known as the spring constant, while the vertical intercept is the initial loading force. It states that when a force is applied to a material, the displacement of that material will be directly proportional to the force applied. A guide to help students draw their own graph using the classic extension of a spring investigation. Record whatever data and graphs you consider necessary in order to determine whether the rubber band obeys hooke s law. If it was a spring you can imagine the coils getting uncoiled and the spring getting longer and longer. If hooke s law is correct, then, the graph of force versus stretch will be a. The fact that the graph is a straight line means that the system obeys hookes law. The section of the plot with a positive slope represents the compression of the spring. The spring system can be described by hooke s law, as shown in the equation given on the left. Data analysis using graphs written by zikri yusof numerous times during the introductory physics laboratory courses, you will be asked to graph your data as part of your analysis. Of course from previous analysis, monero is playing within a break out and the moment prices close above the double tops, then well, those who didnt snatch monero at a discount should load up. Hookes law states that the restoring force of a spring is directly proportional to a small displacement.
Justify the rubber bands obedience to hookes law, based on a graph. I plotted the results for the first two materials on a graph in. Experimental data of the force on a spring at various extension length circles. It some engineering texts, the maximum shear stress determined by viewing the. This question was answered by robert hooke, a contemporary and rival of isaac newton, and the answer has come to be called hooke s law. The correlation can be expressed linearly and can be demonstrated with the use of graphs as shown below figure 1. According to hooke s law, the force applied by the spring is. The stiffness constant describes the stiffness of a material, and is measured in n m. How to calculate a spring constant using hookes law. Hooke s law can be written as f kx, where f is force, x is extension, and k is the stiffness constant of the sample. Refer to the excel tutorial in the introduction section. For the materials that did obey hookes law, calculate the spring constant, k. Hookes law is a law of physics that states that the force f needed to extend or compress a spring by some distance x scales linearly with respect to that distancethat is, where k is a constant factor characteristic of the spring i. Spring potential energy example mistake in math lol diagrams.
The diagram below is an example of hooke s law in a metal spring. The writing up the experiment power point was a guide to help students for their. How to find the spring constant example problem suppose that a group of car designers knocks on your door and asks whether you can help design a suspension system. Hookes law and simple harmonic motion rowan university. To investigate hookes law and to determine the spring constant for two springs and a rubber band. Displacement y graph would look like compared to one of the graphs you created if, for the spring, a slinky were used.
Elastic potential energy introduction, work done by a spring force, hookes law, physics problems duration. The problem i am to put forth revolves around hooke s law. This worksheet is for teachers who want to test their pupils mainly on graphical skills and to a lesser extent on analysis and interpretation of data given and data from a plotted graph. Hookes law and spring potential experiment ex5504 products.
When a spring stays within its elastic limit and obeys hookes law, the spring is called an ideal spring. Hooke s law of elasticity is an approximation that states that the extension of a spring is in direct proportion with the load applied to it. This knowledge of the behavior of a stretched spring, known as hookes law, makes possible the analysis of the. Hookes law is a law in physics named after robert hooke, a british physicist who lived in the 17th century and is said to have been the first to pose the idea of this law. Using graphical analysis software, plot a graph of f vs x. Hookes law and spring potential experiment ex5504a. In mechanics, the force applied per unit area is known as stress and is denoted by the symbol the extent to which the. The elastic limit is at the very end of the diagonal straight line at the elastic section of the graph. Intro to linear graphing hookes law example youtube.
To help understand ir, it is useful to compare a vibrating bond to the physical model of a vibrating spring system. On a force versus elongation graph, the elastic limit will show up as the point where the slope of. Graphing software will be used to make a plot of f versus x. The purpose of this lab is to verify hookes law concerning springs using simple harmonic motion by measuring and calculating the force constant of a spring with weight attached to it, oscillating it vertically, and analyzing the simple harmonic motion of a simple pendulum. When force is applied to a material, we know that it either stretches or compresses in response to the applied force. Students explore hookes law while working in small groups at their lab benches. A practical guide to afm force spectroscopy and data analysis. When an elastic material is stretched, it returns to its original position. Hooke s law says that the stretch of a spring is directly proportional to the applied force. Consider a bond and the connected atoms to be a spring with two masses attached. The deforming force may be applied to a solid by stretching, compressing, squeezing, bending, or twisting. In mechanics, the force applied per unit area is known as stress and is denoted by the symbol the extent to which the material compresses or stretches is known as strain. Sketch properly labeling your axes with units and explain what your applied force mg vs.
Analyze the acquired data with a spreadsheet and graphing program to test. Hooke s law is a principle of physics that states that the force f needed to extend or compress a spring by some distance x is proportional to that distance. The question is based on the topic of deformation of elastic materials, specifically springs and can be used after teaching hooke s law. Leadership obeys the principle of hooke s law to the very bone. Todays lesson includes an activity that acts as one of the seven inquiry labs needed for ap physics 1, and it fits into big idea 3 interactions of an object with other objects can be described by forces of the ap physics 1 curriculum framework. In symbols, f kx, where f is the force, x is the stretch, and k is a constant of proportionality. Hookes law says that the stretch of a spring from its rest position is proportional to the applied force or as the engineers put it.
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