simple harmonic motion lab report conclusion

For the lab, we first attacheda spring to the ring stand. EXPERIMENT 5: SIMPLE HARMONIC MOTION || REPORT WRITING - YouTube 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. ( 2 ) x = Xmax cos ( t ) The following are the equations for velocity and acceleration. Which set of masses will you use for this experiment, the hooked masses /Supplement 0 The relative uncertainty on our measured value of $g$ is $4.9$% and the relative difference with the accepted value of $9.8\text{m/s}^{2}$ is $22$%, well above our relative uncertainty. They must be answered by Write the kinetic, potential and total energy of a baseball having a mass of 0.145kg held 10 meters. Damped Harmonic Motion Lab Report. We transcribed the measurements from the cell-phone into a Jupyter Notebook. c"p. This restoring force is what causes the mass the oscillate. we say that the mass has moved through one cycle, or oscillation. properties of an oscillating spring system. as "5 Gas Law.doc". Abstract. The recorded data is From your data and graph, what is the minimum mass. write a lab report with the following components: title, objective, materials, procedure, data, data . Whilst simple harmonic motion is a simplification, it is still a very good approximation. Mass on a Spring. Also it was proved to be accurate that the relationship between the period, mass, and the spring constant were in fact . Consider a particle of mass 'm' exhibiting Simple Harmonic Motion along the path x O x. A simple pendulum, is defined as an object with a small mass suspended from a light wire or thread, also known as, the pendulum bob. If the block has not lost its capacity will continue to vibration, so they patrol movement is repeated every period of time and then well show it Simple harmonic motion. The following data for each trial and corresponding value of $g$ are shown in the table below. Lab report no 2 pemdulum phyisc 212 1. This restoring force is what causes the mass the oscillate. , To do this, a spring was set up with a circular object hanging at the end. This conclusion supports our objective as we were able to find the relationship between the springs constant and the frequency. /Length 33985 Simple Harmonic Motion. Well occasionally send you promo and account related email. = 0 ). Now we were ready to test, One partner would have control of the movementmade to the pendulum, another partner recorded the process. ;E8xhF$D0{^eQMWr.HtAL8 increases), the period decreases which has the effect of increasing the for an individual spring using both Hooke's Law and the The body Keeping the mass constant (either smaller or larger bob) and the amplitude (om <10') constant, determine the period for five different lengths (see Eq. This was shown clearly in our data. 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. , 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 we attacheda 0.5kg mass to the spring. 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. 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. We first need to understand how to calculate the force of a spring before performing this lab. After this data was collected we studied to determine the length of the period of each oscillation. and then released, it will oscillate about the equilibrium position. By taking the measurements of the. Average 0.20 5 21.20 17.76 0.173 19.19 13.53 0.34 Whatever you put into the conclusion must be something, which the data you measured will prove or support. 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. . For a small angle ( < 10) the period of a simple pendulum is given by 7-25,-(Eq. 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What are the sources of errors in a simple pendulum experiment - Quora This motion is periodic, meaning the displacement, experiences a force that is linearly proportional to its displacement but << The spring force must balance the weight of the added mass Simple Harmonic Motion Lab Report. When a mass, Experiment 2 measures simple harmonic motion using a spring. It is important to make the additional note that initial energy that is initially given to the spring from the change is position, in the form of potential energy, would be perfecting conserved if friction played no role & the spring was considered perfectly elastic. This was the most accurate experiment all semester. The length of the arc represents the linear, deviation from equilibrium. determined? The period, T, of a pendulum of length L undergoing simple harmonic motion is given by: T = 2 L g. Thus, by measuring the period of a pendulum as well as its length, we can determine the value of g: Start with L 0.90 m and decrease it gradually using a step of 0.10 m. Experts are tested by Chegg as specialists in their subject area. and is given by. We measured $g = 7.65\pm 0.378\text{m/s}^{2}$. These Science essays have been submitted to us by students in order to help you with your studies. Then a motion sensor was setup to capture the movement of the mass as it traveled through its oscillations. Type your requirements and Ill connect you to and then Add to Home Screen. 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. , was taken down each time and the force recorded by data studio was also recorded. OBJECTIVES a) To determine the value of gravitational acceleration by using a simple pendulum. D- Pend casing extra damping In this lab, we will observe simple harmonic motion by studying masses on springs. As the stiffness of the spring increases (that is, as As an example, consider the spring-mass system. After this data was collected we studied to determine the length of the period of each oscillation. body to move through one oscillation. experiment (MS Word format): As of now, there are no The results underlines the importance of the precautions which the students are asked to take while performing the pendulum experiment. Lab 1 Summary - Covers the "Data Analysis" lab ; Lab 2 Summary - Covers the "Free Fall-Measure of "g" lab; Lab 9 Summary - Covers the "Mechanical Waves" lab; PH-101 lab #9 - Lab report; Lab Report - Simple Pendulum Abstract. 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. is suspended from a spring and the system is allowed to reach equilibrium, displayed in the table below. 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. These cookies will be stored in your browser only with your consent. 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! 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. We achieved percent error of only . PDF Lab 10 Simple Harmonic Motion - Syracuse University PHY 300 Lab 1 Fall 2010 Lab 1: damped, driven harmonic oscillator 1 Introduction The purpose of this experiment is to study the resonant properties of a driven, damped harmonic oscillator. We expect that we can measure the time for $20$ oscillations with an uncertainty of $0.5\text{s}$. We also acknowledge previous National Science Foundation support under grant numbers 1246120, 1525057, and 1413739. shocks are compressed a distance of 7.0cm. The simple mass-spring system assumes that the spring is massless, or at least it has a mass that is much smaller than the masses added to the spring. 15.1 Simple Harmonic Motion - University Physics Volume 1 - OpenStax When a 0.200kg mass is added to the mass pan, the spring 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. Solved Hello,I am needing a little help improving my lab - Chegg It was, found that a longer pendulum length would result, in a longer period and that the period of the, pendulum was directly proportional to the square, root of the its length. This cookie is set by GDPR Cookie Consent plugin. Notice the period is dependent only upon the mass of the be sure to rename the lab report template file. For example, radiation . and the spring will exert a force on the body given by Hooke's Law, namely. The time required for the PDF The Simple Pendulum - Florida Gulf Coast University 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. Simple Harmonic Motion Lab Report Free Essay Example AP Physics Lab 12: Harmonic Motion in a Spring - YouTube Advertisement cookies are used to provide visitors with relevant ads and marketing campaigns. 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. or the change in the position; or both? If we assume the two rear In this experiment, we measured $g=(7.65\pm 0.378)\text{m/s}^{2}$. 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. It is clear that the amount of potential energy given at the start is directly proportional to the force and displacement. simple harmonic motion, Repetitive back-and-forth movement through a central, or equilibrium, position in which the maximum displacement on one side is equal to the maximum displacement on the other.Each complete vibration takes the same time, the period; the reciprocal of the period is the frequency of vibration. 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. 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) . 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. 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If you do not stretch the spring does not affect any power installed on the block, i.e. this force exists is with a common helical spring acting on a body. Remember. Course Hero is not sponsored or endorsed by any college or university. We will determine the spring constant, 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. Conclusion: By clicking Check Writers Offers, you agree to our terms of service and privacy policy. Therefore, if we know the mass of a body at equilibrium, we can determine 1 0.20 5 20.54 17.57 0.156 19 13.45 0.34 where We repeat this experiment 2-3 time after that we stop recording and start to calculate the result. We achieved percent error of only. where The period for one oscillation, based on our value of $L$ and the accepted value for $g$, is expected to be $T=2.0\text{s}$. A good example of SHM is an object with mass m attached to a spring on a frictionless surface, as shown in Figure 15.3. Conclusion: Effects the spring constant and the mass of the oscillator have on the characteristics of the motion of the mass. SIMPLE HARMONIC MOTION LAB REPORT.pdf - Course Hero The uncertainty is given by half of the smallest division of the ruler that we used. Day 3: What is a Battery / How Bright Are You. an academic expert within 3 minutes. Convert the magnitude to weight, The customer uses their computer to go the Find Your Food website and enters their postcode. In this lab, we will observe simple harmonic motion by studying masses on springs. PDF Simple Harmonic Motion - Pendulum Experiment Report Holes open fully Holes open partially In Objective 1, you may wish to specifically ask the students to Simple harmonic motion | IOPSpark body to complete one oscillation is defined as the period, Simple Harmonic Motion Lab Report. This was shown clearly in our data. Damped Harmonic Motion Lab Report - 838 Words | Studymode is always opposite the direction of the displacement. The negative sign in Equation 1 indicates that the direction of 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. motion is independent of the amplitude of the oscillations. This was proved experimentally with incredible accuracy. Sample conclusion for a pendulum experiment lab. is the displacement of the body from its equilibrium position (at You can get a custom paper by one of our expert writers. (2016, May 24). Download. simple harmonic motion in a simple pendulum, determined the different factors that affect the, period of oscillation. State the given vector. 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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. * This essay may have been previously published on Essay.uk.com at an earlier date. Spring Constant Lab Report Conclusion Pdf Introduction 2 0.20 5 21.82 17.98 0.19 19.57 13.57 0.36 Each lab group should Analysis: Based on this data, does a rubber band What is the uncertainty in the position measurements? View PDF. Conclusion Simple Harmonic Motion Lab Report. Essay Sauce, Simple Harmonic Motion - lab report . The exercises carried out involved recording the position of . Hooke's Law and the Simple Harmonic Motion of a Spring Lab The naming convention is as This experiment is about simple harmonic motion which also involves the periodic motion or, also defined as a regular motion that repeats itself in waves. Report On Simple Harmonic Motion | WePapers 1: Rectangular beam clamped one one end and free on the other Lab. static and dynamic situations. Laboratory Report Exercise 3 Simple Harmonic Motion: Oscillations in Also, you must find the uncertainty in the period, kinetic energy, and potential energy. This conclusion meets our objective to find the relationship between Mass and F in a spring. this equation can be written as. Don't use plagiarized sources. If the hanging mass is displaced from the equilibrium position and released, then simple harmonic motion (SHM) will occur. Harmonic motions are found in many places, which include waves, pendulum motion, & circular motion. These cookies ensure basic functionalities and security features of the website, anonymously. Dont know where to start? Why Lab Procedures and Practice Must Be Communicated in a Lab. 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. This implies that example, the back and forth motion of a child on a swing is simple harmonic only for small amplitudes. The spring constant is an indication of the spring's stiffness. Download the full version above. obey Hooke's Law? . body's average velocity. Use the apparatus and what you know about. 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. be answered by your group and checked by your TA as you do the lab. Additional materials, such as the best quotations, synonyms and word definitions to make your writing easier are also offered here. But this only works for small angles, about 5 or so. This movement is described with a capacity of vibration (which is always positive) and the time the league (the time it takes the body to work full vibration) and frequency (number of vibrations per second) and finally phase, which determines where the movement began on the curve, and have both frequency and time constants league either vibration and phase capacity are identified by primary traffic conditions. To simple harmonic motion sensors and conclusion simple harmonic motion lab report that of requests that include full list and conclusion supported at that in air. 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. If the mass is tripled, t squared should triple also. The law is named after 17th-century . oscillating in a simple harmonic motion (SHM). For example in Figure 3, the initial position of Now we will put the dashpot on 150mm from the end of the beam and we must make sure that the hole is bias on the two top plates of the dashpot to be at the maximum. oscillating body and the spring constant, THEORY An oscillation of simple pendulum is a simple harmonic motion if: a) The mass of the spherical mass is a point mass b) The mass of the string is negligible c) Amplitude of the . You can view ourterms of use here. Simple Harmonic Motion SHM - Explanation, Application and FAQs - Vedantu is stretched to the 0.320m-mark as shown in Figure 4. 15.2: Simple Harmonic Motion - Physics LibreTexts each individual of the group. 2: Spring attached to the free end of the beam Virtual Physics Laboratory for Simple harmonic motion The simple pendulum is made up of a connector, a link and a point mass. . When a mass is added to the spring it takes the length of, . Simple harmonic motion is governed by a restorative force. It is also possible to In the first part of this lab, you will determine the period, T, of the spring by . In this experiment, you will determine the experimental and theoretical period of a spring, the kinetic energy and potential energy by measuring the spring constant and velocity of a spring. This website uses cookies to improve your experience while you navigate through the website. However, when applying this value to the equation and using recorded displacement values . When an oscillating mass (as in the case of a mass bouncing on a spring) In other words, the spring Yes! (download the rest of the essay above). We repeated this measurement five times. system is oscillating? All of our measured values were systematically lower than expected, as our measured periods were all systematically higher than the $2.0\text{s}$ that we expected from our prediction. stream 1.1 Theoretical Background There are various kinds of periodic motion in nature, among which the sim- plest and the most fundamental one is the simple harmonic motion, where the restoring force is proportional to the displacement from the equilbrium position and as a result, the position of a particle depends on time a the sine (cosine) function. This can be seen in our data because as the value of the mass increases, the F decreases. A Case Study on Simple Harmonic Motion and Its Application A simple pendulum consists of a small-diameter bob and a string with a tiny mass but, enough strength to not to stretch significantly. Effects the spring constant and the mass of the oscillator have on the characteristics of the motion of the mass. In this lab, we will observe simple harmonic motion by studying masses on springs. A low value for Enter TA password to view sample data and results of this This way, the pendulum could be dropped from a near-perfect $90^{\circ}$ rather than a rough estimate. Hooke's Law and Simple Harmonic Motion Lab Report - StuDocu will move back and forth between the positions 2 14.73 5 2.94 14.50 0.20 5 The value of mass, and the the spring constant. 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. The potential energy is a not only a controled by the initial forced change in displacement but by the size of the mass. 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. Conclusion Simple Harmonic Motion Lab Report The cookie is set by the GDPR Cookie Consent plugin and is used to store whether or not user has consented to the use of cookies. From your data and graph in Objective 1, what is the. Simple Harmonic Motion - GeeksforGeeks Hooke's Law and the Simple Harmonic Motion of a Spring Lab. Our final measured value of $g$ is $(7.65\pm 0.378)\text{m/s}^{2}$. 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. the system is balanced and stable. Physics - simple harmonic motion - University of Birmingham The cookie is used to store the user consent for the cookies in the category "Analytics". Purpose of this lab is to develop basic understanding of simple harmonic motion by performing an expe . Sample conclusion for a pendulum experiment lab - DePaul University A pendulum exhibits simple harmonic motion (SHM), which allowed us to measure the gravitational constant by measuring the period of the pendulum. 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. V= 45.10 / 3.11 = 14.5 The purpose of this lab experiment is to study the behavior of springs in static and dynamic situations. This sensor was calibrated at 2 point, a zero mass and with a known mass. We use cookies on our website to give you the most relevant experience by remembering your preferences and repeat visits. 1.
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