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Fig 4. (download the rest of the essay above). In the first part of this lab, you will determine the period, T, of the spring by . The law states that F = -ky, where F is in this case Mg and y equals the negative displacement. James Allison. These experiments are suitable for students at an advanced level . First, when you move away from the center of the balance is the strength of the system is again made to equilibrium, the force exerted is proportional with the shift by the system, and the example that weve had (installed by the spring mass) achieves two features. 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. We thus expect that we should be able to measure \(g\) with a relative uncertainty of the order of \(1\)%. Other uncategorized cookies are those that are being analyzed and have not been classified into a category as yet. As the stiffness of the spring increases (that is, as of the spring constant. From your data and graph in Objective 1, what is the. From your data and graph, what is the minimum mass. 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. 2 0.20 5 21.82 17.98 0.19 19.57 13.57 0.36 If this experiment could be redone, measuring \(10\) oscillations of the pendulum, rather than \(20\) oscillations, could provide a more precise value of \(g\). This type of motion is also called oscillation, motion. , C- Error for parallax - 8:30 p.m. April 2016 Simple Harmonic Motion and Damping Marie Johnson Cabrices Chamblee Charter High School . When an oscillating mass (as in the case of a mass bouncing on a spring) The reason why has a negative value is to show that the force exerted by the spring is in the opposite direction of . position regardless of the direction of the displacement, as shown in Amazing as always, gave her a week to finish a big assignment and came through way ahead of time. The mass, string and stand were attached together with knots. Notice the period is dependent only upon the mass of the 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. 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! 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 . Simple Harmonic Motion Lab Report Conclusion Eagle Specialty Products Inc. 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. 2 14.73 5 2.94 14.50 0.20 5 Our complete data is shown in Table 1.0 on the next page. will move back and forth between the positions Experiment 2 measures simple harmonic motion using a spring. Each person in the group as you perform the experiment. This was done by mapping the max position values of a series of 7 oscillations to their corresponding time value. and is given by. State the given vector. 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. 1 15 5 3 14.50 0.20 5 Whatever you put into the conclusion must be something, which the data you measured will prove or support. This sensor was calibrated at 2 point, a zero mass and with a known mass. << This is consistent with the fact that our measured periods are systematically higher. All of our essays are donated in exchange for a free plagiarism scan on one of our partner sites. 2: Spring attached to the free end of the beam We repeat this experiment 2-3 time after that we stop recording and start to calculate the result. is measured with the addition of each mass. 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. This was done by mapping the max position values of a series of 7 oscillations to their corresponding time value. This was shown clearly in our data. . The Plumbers No fuss, affordable pricing Call us now on 1-800-000-0000 Call us now on 1-800-000-0000 When a 0.200kg mass is added to the mass pan, the spring The values were subtracted by one another to give a period the results are shown in table 2.1. 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. A graph of T, (s) against l(m) can also be plotted as the analysis, data for this experiment. 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. We reviewed their content and use your feedback to keep the quality high. Analysis: It should be noted that the period of The values of k that you solve for will be plugged into the formula: T = 2 (pi) (radical m/k). After graphing forces versus displacement, a value of 3.53 N/m was determined as the spring constant. These cookies ensure basic functionalities and security features of the website, anonymously. (See. . Conclusions The laboratory experiment was mentioned to gain knowledge on basic parameters of the simple harmonic oscillation: period, frequency, and damping. Average 0.20 5 21.20 17.76 0.173 19.19 13.53 0.34 each individual of the group. For the lab, we first attacheda spring to the ring stand. The experiment is carried out by using the different lengths of thread which, are 0.2m, 0.4m, 0.6m and 0.8m. In this lab, we will observe simple harmonic motion by studying masses on springs. We repeated this measurement five times. for an individual spring using both Hooke's Law and the The period that you solved for will be your theoretical period. When block away when the subject of stability or the balance spring will exert force to return it back to the original position. A large value for The oscillating motion is interesting and important to study because it closely tracks many other types of motion. We use cookies on our website to give you the most relevant experience by remembering your preferences and repeat visits. 7: A ruler Tibor Astrab 4 Background Physics Simple Harmonic Motion - SHM A Simple Harmonic Motion is an oscillation in which the acceleration is directly proportional to the displacement from the mid-point, and is directed towards the mid-point. Procedure. We pulled the mass down and released it to let it oscillate. Simple Harmonic Motion Lab Report. Simple harmonic motion is important in research to model oscillations for example in wind turbines and vibrations in car suspensions. For a spring-mass system, such as a block attached to a spring, the spring force is responsible for the oscillation (see Figure 1). The string is clamped, and when it is displaced, it . . Group 5. We constructed the pendulum by attaching a inextensible string to a stand on one end and to a mass on the other end. In SHM, we are interested in its period of oscillation. 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. 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 length of the arc represents the linear, deviation from equilibrium. 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. Thus, by measuring the period of a pendulum as well as its length, we can determine the value of \(g\): \[\begin{aligned} g=\frac{4\pi^{2}L}{T^{2}}\end{aligned}\] We assumed that the frequency and period of the pendulum depend on the length of the pendulum string, rather than the angle from which it was dropped. It is also possible to the spring force is a restoring force. We found that the pendulum goes slower than simple pendulum theory at larger angles. FOR STUDENTS : ALL THE INGREDIENTS OF A GOOD ESSAY. Therefore, Hooke's law describes and applies to the simplest case of oscillation, known as simple harmonic motion. What is the uncertainty in the period measurements? The uncertainty is given by half of the smallest division of the ruler that we used. View PDF. experiment (MS Word format): As of now, there are no The purpose of this lab is to find the force constant of a spring and to also study the motion of a spring with a hanging mass when vibrating under the influence of gravity. Download. In this lab, we will observe simple harmonic motion by studying masses on springs. or the change in the position; or both? static and dynamic situations. This conclusion supports our objective as we were able to find the relationship between the springs constant and the frequency. Retrieved from http://studymoose.com/simple-harmonic-motion-lab-report-essay. What is the uncertainty in your value for. When a mass is added to the spring it takes the length of . 6: Speed control unit (controls the turning speed of the chart recorder) means the period will also increase, thereby requiring more time for the Motion Lab Report Introduction Simple harmonic motion is the motion of a mass on a spring when it is subject to the linear elastic restoring force given by Hooker's Law. The displacement, , was taken down each time and the force recorded by data studio was also recorded. Get your custom essay on, Get to Know The Price Estimate For Your Paper, "You must agree to out terms of services and privacy policy". experiencing simple harmonic motion. }V7 [v}KZ . @%?iYucFD9lUsB /c 5X ~.(S^lNC D2.lW/0%/{V^8?=} y2s7 ~P ;E0B[f! Why? 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. That is, if the mass is doubled, T squared should double. CALIFORNIA STATE UNIVERSITY, LOS ANGELES Department of Physics and Astronomy Physics 212-14 / Section 14- 34514 Standing waves On Strings Prepared by: Faustino Corona, Noe Rodriguez, Rodney Pujada, Richard Lam Performance Date: Tuesday,April 6, 2016 Submission Due: Tuesday, April 13, 2016 Professor: Ryan Andersen Wednesday: 6:00 pm. 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. Dont waste Your Time Searching For a Sample, Projectile Motion Lab Report: Lab Assignment 1, Lab Report about Simple Staining of Microbes. 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. This was shown clearly in our data. CUPOL experiments 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. Give us your email address and well send this sample there. , 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). The cookie is used to store the user consent for the cookies in the category "Performance". If the mass of the component is 10g, what must the value when the mass increases the frequency decreases. 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.