This conclusion supports our objective as we were able to find the relationship between the springs constant and the frequency. These Questions are also found in the lab write-up template. The restoring force in this system is given by the component of the weight mg along the path of the bob's motion, F = -mg sin and directed toward the equilibrium. Introduction This was done by mapping the max position values of a series of 7 oscillations to their corresponding time value. A toy maker requires a spring mechanism to drive an attached component with a In this first part of this lab, you will have a sliding mass on a frictionless air track attached to two springs on one side, and attached to a hanging mass by a string and pulley on the other. and then back to the position The body Analysis: At the conclusion of the experiment, we discovered that when an object is subjected to a force proportional to its displacement from an equilibrium position, simple harmonic motion results. However, despite displaying clear terms on our sites, sometimes users scan work that is not their own and this can result in content being uploaded that should not have been. The purpose of this lab experiment is to study the behavior of springs in static and dynamic situations. The Plumbers No fuss, affordable pricing Call us now on 1-800-000-0000 Call us now on 1-800-000-0000 Explain why or why not? At t = 0, the particle is at point P (moving towards the right . will move back and forth between the positions A simple pendulum consists of a small-diameter bob and a string with a tiny mass but, enough strength to not to stretch significantly. The variation of the time period with increasing oscillation was studied for the simple harmonic motion (SHM) and for large angle initial displacements (non-SHM). During the lab assignment, the natural frequency, damping and beam oscillations are measured. Now we bring the stopwatch and we start counting the time, so we can do the calculation. b) To investigate the relationship between lengths of the pendulum to the period of motion in simple harmonic motion. Conclusion: Effects the spring constant and the mass of the oscillator have on the characteristics of the motion of the mass. We pulled the mass down and released it to let it oscillate. my lab report for this lab - I earned an A in the lab. 3 0.20 5 21.30 17.73 0.18 19.05 13.57 0.33 Conclusions The laboratory experiment was mentioned to gain knowledge on basic parameters of the simple harmonic oscillation: period, frequency, and damping. Purpose. Simple Harmonic Motion. Under the influence of gravity on Earth, it, Write name and date. Specifically how it oscillates when given an initial potential energy. The potential energy is a not only a controled by the initial forced change in displacement but by the size of the mass. . V= 45.10 / 3.11 = 14.5 Simple Harmonic Motion Lab Report. This sensor was set to a frequency of. General any system moves simple harmonic motion contains two attributes main. Each of the reasons for errors The value of mass, and the the spring constant. (1) Linear Simple Harmonic Motion: When a particle moves back and forth along a straight line around a fixed point (called the equilibrium position), this is referred to as Linear Simple Harmonic Motion. Equation 1: F = kx F = k x. F is the restoring force in newtons (N) k is the spring constant in newtons per meter (N/m) x is the displacement from equilibrium in meters (m) When you add a weight to a spring and stretch it then release it, the spring will oscillate before it returns to rest at its equilibrium position. We will be recording basic information. determine the minimum mass. From your data and graph, what is the minimum mass. Whilst simple harmonic motion is a simplification, it is still a very good approximation. Further analysis of our data gives a function of force to the displacement. Notice that it is typed and spell checked, and should not contain errors such as interchanging "affect " and "effect". static and dynamic situations. . In the first part of this lab, you will determine the period, T, of the spring by . All of our essays are donated in exchange for a free plagiarism scan on one of our partner sites. From your description, the square of the time T for one cycle of the motion should be directly proportional to both the mass value and the spring constant. x}xT{y%3yN2 s2'LB$ 9yL $(E\hjo1hVk[qV#2s>^o~Nck X? Pendulums are widely used and some are essential, such as in clocks, and lines. Average 0.20 5 21.20 17.76 0.173 19.19 13.53 0.34 should print-out the Questions section and answer them individually. Once that was done, we measured an amplitudeof 3cm from the starting point using a ruler. This restoring force is what causes the mass the oscillate. - 8:30 p.m. April 2016 The pendulum was released from \(90\) and its period was measured by filming the pendulum with a cell-phone camera and using the phones built-in time. 6: Speed control unit (controls the turning speed of the chart recorder) TA. for 14-16. }V7 [v}KZ . @%?iYucFD9lUsB /c 5X ~.(S^lNC D2.lW/0%/{V^8?=} y2s7 ~P ;E0B[f! Conclusion From our experiment, I conclude that the period of a pendulum depends on length primarily and agrees with the theory that says for a simple pendulum, . It does not store any personal data. Simple Harmonic Motion Lab Report. the system is balanced and stable. A good example of SHM is an object with mass m attached to a spring on a frictionless surface, as shown in Figure 15.2.2. It is clear that the amount of potential energy given at the start is directly proportional to the force and displacement. In SHM, we are interested in its period of oscillation. However, you may not have changed the spring constant, and if you didnt change it and measure what happened to the time T when you did, you cannot put that proportionality into your conclusion. First you must calculate the mass of the sliding mass and the equilibrium displacement of the spring. However, you may visit "Cookie Settings" to provide a controlled consent. Show the following calculations using the trendline fit equation from the Excel graph of Part 1: The spring constant k = 472 x 0.3304 = 13.04 N/m The uncertainty in the spring, Data and Analysis Part A: Finding the inverse of one vector Make a prediction of the correct weight and direction to balance the given force. SHM means that position changes with a sinusoidal dependence on time. This website uses cookies to improve your experience while you navigate through the website. Available at Ward's Science: https://www.wardsci.com/store/product/16752350/ap-physics-lab-12-harmonic-motion-in-a-springThe use of video brings this investi. /Filter /FlateDecode Our final measured value of \(g\) is \((7.65\pm 0.378)\text{m/s}^{2}\). The meaning of SIMPLE HARMONIC MOTION is a harmonic motion of constant amplitude in which the acceleration is proportional and oppositely directed to the displacement of the body from a position of equilibrium : the projection on any diameter of a point in uniform motion around a circle. We are using the do-it-yourself , simple pendulum as the materials to determine the value of gravitational acceleration and, investigate the relationship between lengths of pendulum to the period of motion in simple, harmonic motion. (download the rest of the essay above). where frequency f the inverse of period T, f = 1 T. Therefore: 2 T = where I = (1/3)mr, so 2 T = . Why Lab Procedures and Practice Must Be Communicated in a Lab. (2016, May 24). , force always acts to restore, or return, the body to the equilibrium = ln A0 / A1 Accessibility StatementFor more information contact us atinfo@libretexts.orgor check out our status page at https://status.libretexts.org. How many data points will you take for this experiment? c. Project works: Research work (survey and mini research) innovative work or experiential learning connection to theory and application, 0.5 credit hr spent in field work. a) Conceptual/Theoretical Approach: It was concluded that the, mass of the pendulum hardly has any effect on the, period of the pendulum but the length on the other, hand had a significant effect on the period. , table #5 working on the Ideal Gas Law experiment would rename their template file The IV of our experiment was the changes in the mass we made, the DV was the outcome of the frequency, and the constants were the type of spring we used as well as the amplitude. It should be noted that the period of Subject-Physices-Professor V. Hooke's Law and Simple Harmonic Motion Lab Report Introduction: This lab is set up for us to to be able to determine the spring constant with two different methods and the gravitational acceleration with a pendulum. The string is clamped, and when it is displaced, it . Simple Harmonic Motion. Another variable we care about is gravity g, and then we are able to change the equation from T to g as follows: =2 (Equation 1) . V. Conclusion This experiment for the observation of simple harmonic motion in a simple pendulum determined the different factors that affect the period of oscillation. P14: Simple Harmonic Motion - Mass on a Spring 012-07000A p. The block is released, follows the trajectory shown, and strikes the floor a horizontal distance D from the edge of the table. Create your website today. 2 14.73 5 2.94 14.50 0.20 5 These Nudge Questions are to Additionally, a protractor could be taped to the top of the pendulum stand, with the ruler taped to the protractor. Lab. or the change in the position; or both? C- Error for parallax ;E8xhF$D0{^eQMWr.HtAL8 Cross), Chemistry: The Central Science (Theodore E. Brown; H. Eugene H LeMay; Bruce E. Bursten; Catherine Murphy; Patrick Woodward), Civilization and its Discontents (Sigmund Freud), Principles of Environmental Science (William P. Cunningham; Mary Ann Cunningham), Campbell Biology (Jane B. Reece; Lisa A. Urry; Michael L. Cain; Steven A. Wasserman; Peter V. Minorsky), Biological Science (Freeman Scott; Quillin Kim; Allison Lizabeth), Forecasting, Time Series, and Regression (Richard T. O'Connell; Anne B. Koehler), Educational Research: Competencies for Analysis and Applications (Gay L. R.; Mills Geoffrey E.; Airasian Peter W.), Psychology (David G. Myers; C. Nathan DeWall), Brunner and Suddarth's Textbook of Medical-Surgical Nursing (Janice L. Hinkle; Kerry H. Cheever), The Methodology of the Social Sciences (Max Weber), Give Me Liberty! , We can then determine the spring constant for this spring: That is, if the mass is doubled, T squared should double. The cookies is used to store the user consent for the cookies in the category "Necessary". Sample conclusion for a pendulum experiment lab. Retrieved from http://studymoose.com/simple-harmonic-motion-lab-report-essay. Course Hero is not sponsored or endorsed by any college or university. We achieved percent error of only . That potential energy would simply be converted to kinetic energy as the mass accelerated reaching a maximum proportion of kinetic energy when the mass passed the midway point. If so, what equipment would you need and what parameters would you /Supplement 0 Students can use our free essays as examples to help them when writing their own work. Once such physical system where Enter TA password to view sample data and results of this For our final lab of associated with physics I, we will dissect the motions of a mass on a spring. << Conclusion: We will determine the spring constant, , for an individual spring using both Hooke's Law and the properties of an oscillating spring system.It is also possible to study the effects, if any, that amplitude has on the period of a body experiencing simple harmonic motion. These cookies help provide information on metrics the number of visitors, bounce rate, traffic source, etc. EssaySauce.com is a free resource for students, providing thousands of example essays to help them complete their college and university coursework. With no mass the position of the bottom of the spring was also measured with a ruler from the surface of the table our apparatus was resting. Performance cookies are used to understand and analyze the key performance indexes of the website which helps in delivering a better user experience for the visitors. The time it takes for a mass to go through an entire oscillation is what is known as a period, a the period of a mass on a spring is dependent of two variables. , (b) The net force is zero at the equilibrium position, but the ruler has momentum and continues to . Data studio and a force sensor, and a position sensor will be used to get accurate measurements of these values. OBJECTIVES a) To determine the value of gravitational acceleration by using a simple pendulum. James Allison. This was proved experimentally with incredible accuracy. properties of an oscillating spring system. % determined? 1 0.20 5 20.54 17.57 0.156 19 13.45 0.34 After this data was collected we studied to determine the length of the period of each oscillation. Some of the examples, of physical phenomena involving periodic motion are the swinging of a pendulum, string, vibrations, and the vibrating mass on a spring. In the first part of this lab, you will determine the period, T, of the spring by . These experiments are suitable for students at an advanced level . This was shown clearly in our data. is stretched to the 0.320m-mark as shown in Figure 4. , was taken down each time and the force recorded by data studio was also recorded. Then a spring was hung from the sensor and it was torn to a zero point. of simple harmonic motion and to verify the theoretical prediction for the period of. 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Furthermore, the derived, equation for calculating the period of any given, simple pendulum was also found to be very, accurate whenever the angle of displacement of the, pendulum is small since only a 1.943% percent. Each lab group should 1. Other uncategorized cookies are those that are being analyzed and have not been classified into a category as yet. In Simple harmonic motion, the mean position is a stable equilibrium. We also use third-party cookies that help us analyze and understand how you use this website. Conclusion: It is apparent that there is a clear relationship between an increased mass and the amount of force exerted, and consequently the amount of displacement experienced by the spring. Apparatus and Experimental Procedure: This was proved experimentally with incredible accuracy. %PDF-1.7 Then a spring was hung from the sensor and it was torn to a zero point. The position of the mass before the spring is charged, the path of the mass, the peak of the oscillation, as well as the force the mass and the spring exert on each other. The conclusion simple harmonic motion lab report should follow some air resistance to an nxt setup that you put into a piece of a fixed lengths. This conclusion meets our objective to find the relationship between Mass and F in a spring. 21d Simple Harmonic Motion-RGC 03-03-09 - 4 - Revised: 4/8/08 Theory - Spring An example of simple harmonic motion also includes the oscillations of a mass attached to the end of a spring. This was done by mapping the max position values of a series of 7 oscillations to their corresponding time value. This was calculated using the mean of the values of g from the last column and the corresponding standard deviation. In order to measure simple harmonic motion, there are two traits needed: . Figure 5.38 (a) The plastic ruler has been released, and the restoring force is returning the ruler to its equilibrium position. as you perform the experiment. They must be answered by In this experiment, we measured \(g\) by measuring the period of a pendulum of a known length. 1: Rectangular beam clamped one one end and free on the other associated with this experiment. Jomo Kenyatta University of Agriculture and Technology, conclusion-simple-harmonic-motion-lab-report.pdf, Support friend classes and functions 7 User defined categorization of name, improper act or omission by or on behalf of another party to the proceed ings, Taguchis loss function is most closely associated with a design, Chapter 5 Energy efficiency 73 level of utilization of resources many IT, 12517 89 What is the border of the vestibule in females Labia minora What are, because he threatens you Often times if someone actually stands up for, Lipids presented by CD1drather than MHC c IFN IL 4GMCSFIL 2IL 13IL 17 IL 21, E-commerce in the Procurement Process.docx, A wealth transfer strategy involves estimating an individuals or a familys core, 142 31 Drawing the circuit To place components on the schematic click on Place, Cell Processes (Cells 2) Study guide- answer key 2019-2020 (1).docx, SAMPLE CALCULATIONS 1. We plan to measure the period of one oscillation by measuring the time to it takes the pendulum to go through 20 oscillations and dividing that by 20. Investigate the length dependence of the period of a pendulum. Use the apparatus and what you know about. This experiment was designed with an intention of gaining a deeper understanding. ?? This cookie is set by GDPR Cookie Consent plugin. B- Measurement error CUPOL experiments Hooke's Law and the Simple Harmonic Motion of a Spring Lab. These cookies will be stored in your browser only with your consent. If the spring is Essay Sauce, Simple Harmonic Motion - lab report . Figures 1a - 1c. This sensor was calibrated at 2 point, a zero mass and with a known mass. We achieved percent error of only. By looking into this simple pendulum a little more, we may identify the, conditions under which the simple pendulum performs simple harmonic motion and get an. The potential energy is a not only a controled by the initial forced change in displacement but by the size of the mass. The values were subtracted by one another to give a period the results are shown in table 2.1. This involved studying the movement of the mass while examining the spring properties during the motion. The site offers no paid services and is funded entirely by advertising. State the given vector. This restoring force is what causes the mass the oscillate. Figure 1: This image shows a spring-mass system oscillating through one cycle about a central equilibrium position. Oscillations with a particular pattern of speeds and accelerations occur commonly in nature and in human artefacts. The following data for each trial and corresponding value of \(g\) are shown in the table below. If the hanging mass is displaced from the equilibrium position and released, then simple harmonic motion (SHM) will occur. We will study how a mass moves and what properties of spring give the mass a predictable movement. Amazing as always, gave her a week to finish a big assignment and came through way ahead of time. The . ( 2 ) x = Xmax cos ( t ) The following are the equations for velocity and acceleration. position regardless of the direction of the displacement, as shown in The negative sign in Equation 1 indicates that the direction of experiencing simple harmonic motion. EES 150 Lesson 3 Continental Drift A Century-old Debate, BUS 225 Module One Assignment: Critical Thinking Kimberly-Clark Decision, 1-2 Short Answer Cultural Objects and Their Culture, Module One Short Answer - Information Literacy, Ejemplo de Dictamen Limpio o Sin Salvedades, Sample solutions Solution Notebook 1 CSE6040, Answer KEY Build AN ATOM uywqyyewoiqy ieoyqi eywoiq yoie, 46 modelo de carta de renuncia voluntaria, Leadership class , week 3 executive summary, I am doing my essay on the Ted Talk titaled How One Photo Captured a Humanitie Crisis https, School-Plan - School Plan of San Juan Integrated School, SEC-502-RS-Dispositions Self-Assessment Survey T3 (1), Techniques DE Separation ET Analyse EN Biochimi 1. Simple harmonic motion is governed by a restorative force. . For our particular study we set up a force sensor which would measure a pulling force in the earthward direction. View PDF. The time required for the Day 3: What is a Battery / How Bright Are You. The best examples of simple harmonic motion are installed bloc in the spring. But this only works for small angles, about 5 or so. interesting expression for its period by looking into it a little more. These cookies ensure basic functionalities and security features of the website, anonymously. Copyright 2023 StudeerSnel B.V., Keizersgracht 424, 1016 GC Amsterdam, KVK: 56829787, BTW: NL852321363B01, Business Law: Text and Cases (Kenneth W. 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