All our essays are uploaded by volunteers. A Case Study on Simple Harmonic Motion and Its Application 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. In this lab, we will observe simple harmonic motion by studying masses on springs. record in order to take data for a Hooke's Law experiment when the spring-mass In this lab we want to illustrate simple harmonic motion by studying the motion of a mass on a spring. For example in Figure 3, the initial position of as you perform the experiment. A pendulum exhibits simple harmonic motion (SHM), which allowed us to measure the gravitational constant by measuring the period of the pendulum. oscillating in a simple harmonic motion (SHM). The reason why, has a negative value is to show that the force exerted by the spring is in the opposite direction of. AP Physics Lab 12: Harmonic Motion in a Spring - YouTube Does the value of the oscillation amplitude affect your results? Legal. Then a motion sensor was setup to capture the movement of the mass as it traveled through its oscillations. PDF Guidelines for a Physics Lab Reports - Baylor University Conclusions The laboratory experiment was mentioned to gain knowledge on basic parameters of the simple harmonic oscillation: period, frequency, and damping. /Supplement 0 After this data was collected we studied to determine the length of the period of each oscillation. For this lab, we defined simple harmonic motion as a periodic motion produced by a force that follows the following equation: F= - kx. Out of these, the cookies that are categorized as necessary are stored on your browser as they are essential for the working of basic functionalities of the website. system is oscillating? Notice the period is dependent only upon the mass of the Hooke's Law and the Simple Harmonic Motion of a Spring Lab The equation for a pendulum that relates the variables involved is: 2 f =. Question: Hello,I am needing a little help improving my lab report. Yes! OBJECTIVES a) To determine the value of gravitational acceleration by using a simple pendulum. In other words, the spring Abstract. 206Conclusion Sample-2004 206ConSam. PDF Simple Harmonic Motion and Damping - Gatech.edu 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, . position regardless of the direction of the displacement, as shown in Simple harmonic motion is a motion that repeats itself every time, and be constant movement vibration amplitude, fit the wheel with an offset from the body into balance and direction is always subject to the balance undergoes an arbitrary displacement from some initial position, 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. static and dynamic situations. Simple harmonic motion is the motion of a mass on a spring when it is subject to the linear elastic restoring force given by Hookes Law. /Filter /FlateDecode Functional cookies help to perform certain functionalities like sharing the content of the website on social media platforms, collect feedbacks, and other third-party features. A large value for F_s = -kx F s = kx. 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. James Allison, Clint Rowe, & William Cochran. determine the minimum mass. It will be interesting to understand what gives the mass the oscillating property.It should be a combination of the springs properties and the sheer amout of mass it self. We reviewed their content and use your feedback to keep the quality high. = ln A0 / A1 When a mass is added to the spring it takes the length of . This is consistent with the fact that our measured periods are systematically higher. Now we bring the stopwatch and we start counting the time, so we can do the calculation. In simple harmonic motion, the acceleration of the system, and therefore the net force, is proportional to the displacement and acts in the opposite direction of the displacement. Procedure. How will you decrease the uncertainty in the period measurement? 8: A stopwatch We will be recording basic information. 27.8: Sample lab report (Measuring g using a pendulum) where frequency f the inverse of period T, f = 1 T. Therefore: 2 T = where I = (1/3)mr, so 2 T = . 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). (PDF) LAP REPORT: THE SIMPLE PENDULUM - Academia.edu This was shown clearly in our data. The brightest students know that the best way to learn is by example! This cookie is set by GDPR Cookie Consent plugin. In SHM, we are interested in its period of oscillation. We pulled the mass down and released it to let it oscillate. Simple harmonic motion is important in research to model oscillations for example in wind turbines and vibrations in car suspensions. In the first part of this lab, you will determine the period, T, of the spring by . 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. Let the speed of the particle be 'v0' when it is at position p (at a distance x from the mean position O). is the body's displacement. . obey Hooke's Law? If an applied force varies linearly with position, the force can be defined as We then moved into the second portion of our lab, which was to analyze the path of the mass as it was given an initial charge. bars? (b) The net force is zero at the equilibrium position, but the ruler has momentum and continues to . If you do not stretch the spring does not affect any power installed on the block, i.e. Simple harmonic motion is the motion of a mass on a spring when it is subject to the linear elastic restoring force given by Hooke's Law. interesting expression for its period by looking into it a little more. Simple harmonic motion is the motion of a mass on a spring when it is subject to the linear elastic restoring force given by Hooke's Law. A pendulum is a basic harmonic oscillator for tiny displacements. 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. This page titled 27.8: Sample lab report (Measuring g using a pendulum) is shared under a CC BY-SA license and was authored, remixed, and/or curated by Howard Martin revised by Alan Ng. Using a \(100\text{g}\) mass and \(1.0\text{m}\) ruler stick, the period of \(20\) oscillations was measured over \(5\) trials. period of 0.50s. Our complete data is shown in Table 1.0 on the next page. , Therefore, if we know the mass of a body at equilibrium, we can determine Dont know where to start? Apparatus and Experimental Procedure: The potential energy is a not only a controled by the initial forced change in displacement but by the size of the mass. Course Hero is not sponsored or endorsed by any college or university. One cycle of kinematics, including . A pendulum exhibits simple harmonic motion (SHM), which allowed us to measure the gravitational constant by measuring the period of the pendulum. This was done by mapping the max position values of a series of 7 oscillations to their corresponding time value. Create your website today. be sure to rename the lab report template file. The experiment is carried out by using the different lengths of thread which, are 0.2m, 0.4m, 0.6m and 0.8m. difference was observed in the experiment. The experiment was conducted in a laboratory indoors. After graphing forces versus displacement, a value of 3.53 N/m was determined as the spring constant. simple harmonic motion summary | Britannica By clicking Check Writers Offers, you agree to our terms of service and privacy policy. By knowing the velocity in the second part, you can find kinetic energy and potential energy of the oscillating mass. /Ordering (Identity) EssaySauce.com is a completely free resource for students. . , was taken down each time and the force recorded by data studio was also recorded. Figures 1a - 1c. analysis and conclusion. 10 0 obj You can view ourterms of use here. . Generally speaking, springs with large For our particular study we set up a force sensor which would measure a pulling force in the earthward direction. Figure 5.38 (a) The plastic ruler has been released, and the restoring force is returning the ruler to its equilibrium position. What is the uncertainty in the position measurements? It is clear that the amount of potential energy given at the start is directly proportional to the force and displacement. 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! The circuit is exquisitely simple - Type your requirements and Ill connect you to Conclusion Simple Harmonic Motion Lab Report We achieved percent error of only. /Registry (Adobe) We will study how a mass moves and what properties of spring give the mass a predictable movement. : an American History (Eric Foner). >> = 0 ). [2] North Carolina State University Physics. View PDF. Analysis: stretched or compressed a small distance from its equilibrium position, Physics - simple harmonic motion - University of Birmingham Then a spring was hung from the sensor and it was torn to a zero point. We recorded these oscillations with data studio for about 10 seconds. 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. A pendulum is a simple set up in which a string is attached to a small bob. This sensor was set to a frequency of. If the mass is tripled, t squared should triple also. Necessary cookies are absolutely essential for the website to function properly. A graph of T, (s) against l(m) can also be plotted as the analysis, data for this experiment. Solved Hello,I am needing a little help improving my lab - Chegg is 0.020m. Download. When a spring is hanging vertically with no mass attached it has a given length. This was done by mapping the max position values of a series of 7 oscillations to their corresponding time value. Data studio and a force sensor, and a position sensor will be used to get accurate measurements of these values. Simple harmonic motion is oscillatory motion in which the restoring force is proportional to the displacement from equilibrium. 3 0.20 5 21.30 17.73 0.18 19.05 13.57 0.33 "Simple Harmonic Motion Report," Free Essay Examples - WePapers.com, 29-Nov-2020 . This was shown clearly in our data. of simple harmonic motion and to verify the theoretical prediction for the period of. 5.5 Simple Harmonic Motion - Physics | OpenStax Laboratory Report Exercise 3 Simple Harmonic Motion: Oscillations in 692. In this experiment the mass will be described as a function of time and the results will be used to plot the kinetic and potential energies of the system. 15.1 Simple Harmonic Motion - University Physics Volume 1 - OpenStax In physics, Hooke's law is an empirical law which states that the force (F) needed to extend or compress a spring by some distance (x) scales linearly with respect to that distancethat is, F s = kx, where k is a constant factor characteristic of the spring (i.e., its stiffness), and x is small compared to the total possible deformation of the spring. From your data and graph in Objective 1, what is the. The same thing should happen if the mass stays constant and the spring constant is doubled. 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. Therefore, Hooke's law describes and applies to the simplest case of oscillation, known as simple harmonic motion. The mass, string and stand were attached together with knots. means the period will also increase, thereby requiring more time for the We adjusted the knots so that the length of the pendulum was \(1.0000\pm0.0005\text{m}\). Simple Harmonic Motion. . SHM means that position changes with a sinusoidal dependence on time. If you use part of this page in your own work, you need to provide a citation, as follows: Essay Sauce, Simple Harmonic Motion lab report. 1 0.20 5 20.54 17.57 0.156 19 13.45 0.34 This is probably more than anyone in class will submit (even the "A" reports) but it illustrates as an ideal for which one can strive. These cookies track visitors across websites and collect information to provide customized ads. 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. Whilst simple harmonic motion is a simplification, it is still a very good approximation. Which set of masses will you use for this experiment, the hooked masses However, you may visit "Cookie Settings" to provide a controlled consent. Simple harmonic motion Definition & Meaning - Merriam-Webster The rest of the first part requires you to add 20 grams to the hanging mass and then measuring how far the sliding mass has moved for the equilibrium position. where 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. , 5: A felt-tipped pen attached to the end of the beam At t = 0, the particle is at point P (moving towards the right . B- Measurement error Solved Laboratory The simple pendulunm Purpose: investigate | Chegg.com 9: Small weights Keeping the paper taut What is the uncertainty in your value for. Calculation and Result: experiment (MS Word format): As of now, there are no Group 5. In order to minimize the uncertainty in the period, we measured the time for the pendulum to make \(20\) oscillations, and divided that time by \(20\). They must be answered by In the first part of this lab, you will determine the period, T, of the spring by . Amazing as always, gave her a week to finish a big assignment and came through way ahead of time. velocity and acceleration all vary sinusoidally. and then released, it will oscillate about the equilibrium position. We also worry that we were not able to accurately measure the angle from which the pendulum was released, as we did not use a protractor. Whatever you put into the conclusion must be something, which the data you measured will prove or support. Copyright 2023 StudeerSnel B.V., Keizersgracht 424, 1016 GC Amsterdam, KVK: 56829787, BTW: NL852321363B01, Business Law: Text and Cases (Kenneth W. Clarkson; Roger LeRoy Miller; Frank B. Start Now. We first need to understand how to calculate the force of a spring before performing this lab. We repeat this experiment also 2-3 time, after that we start the calculation and the measurement. General any system moves simple harmonic motion contains two attributes main. Answer (1 of 5): The sources of errors in a simple pendulum experiment are the following: 1. human errors comes in when measuring the period using a stopwatch. Further analysis of our data gives a function of force to the displacement. James Allison.