But opting out of some of these cookies may affect your browsing experience. CUPOL experiments . After graphing forces versus displacement, a value of 3.53 N/m was determined as the spring constant. Market-Research - A market research for Lemon Juice and Shake. 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. ~ 5";a_x ~10). These cookies help provide information on metrics the number of visitors, bounce rate, traffic source, etc. This type of motion is characteristic of many physical phenomena. , What is the uncertainty in the mass measurements? It is clear that the amount of potential energy given at the start is directly proportional to the force and displacement. Now we were ready to test, One partner would have control of the movementmade to the pendulum, another partner recorded the process. 1 0.20 5 20.54 17.57 0.156 19 13.45 0.34 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. 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. is the body's displacement. Then a spring was hung from the sensor and it was torn to a zero point. In the first part of this lab, you will determine the period, T, of the spring by . See Page 1. Start Now. 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. when the mass increases the frequency decreases. 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. follows: For example the group at lab . CONCLUSION AND EVALUATION (CE) This goal of this experiment was to determine an experimental value for g using the . All of our essays are donated in exchange for a free plagiarism scan on one of our partner sites. That means that the force, F, is proportional to x, the distance the mass is pulled down from rest. = 0 ). 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. difference was observed in the experiment. Notice that it is typed and spell checked, and should not contain errors such as interchanging "affect " and "effect". Give us your email address and well send this sample there. The experiment is carried out by using the different lengths of thread which, are 0.2m, 0.4m, 0.6m and 0.8m. Additionally, a protractor could be taped to the top of the pendulum stand, with the ruler taped to the protractor. We will be recording basic information. 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 we attacheda 0.5kg mass to the spring. Each lab group should 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. Retrieved from http://studymoose.com/simple-harmonic-motion-lab-report-essay. "Simple Harmonic Motion Report," Free Essay Examples - WePapers.com, 29-Nov-2020 . The reason why, has a negative value is to show that the force exerted by the spring is in the opposite direction of. This was proved experimentally with incredible accuracy. 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. 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Using a \(100\text{g}\) mass and \(1.0\text{m}\) ruler stick, the period of \(20\) oscillations was measured over \(5\) trials. for an individual spring using both Hooke's Law and the Let the speed of the particle be 'v0' when it is at position p (at a distance x from the mean position O). 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. 7: A ruler From your data and graph, what is the minimum mass. Report, Pages 2 (368 words) Views. , should print-out the Questions section and answer them individually. [2] North Carolina State University Physics. determined? 5: A felt-tipped pen attached to the end of the beam The period, \(T\), of a pendulum of length \(L\) undergoing simple harmonic motion is given by: \[\begin{aligned} T=2\pi \sqrt {\frac{L}{g}}\end{aligned}\]. 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. 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. Mass is added to a vertically hanging rubber band and the displacement The motion of a simple pendulum is one of the phenomena that can be used to approximate the simple harmonic motion. 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. How is this If an applied force varies linearly with position, the force can be defined as The site offers no paid services and is funded entirely by advertising. If the mass of the component is 10g, what must the value Also it was proved to be accurate that the relationship between the period, mass, and the spring constant were in fact . Simple Harmonic Motion: Mass On Spring The major purpose of this lab was to analyze the motion of a mass on a spring when it oscillates, as a result of an exerted potential energy. is known as the spring force. James Allison, Clint Rowe, & William Cochran. 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. Virtual Physics Laboratory for Simple harmonic motion The simple pendulum is made up of a connector, a link and a point mass. The period for one oscillation, based on our value of \(L\) and the accepted value for \(g\), is expected to be \(T=2.0\text{s}\). This sensor was set to a frequency of. Whilst simple harmonic motion is a simplification, it is still a very good approximation. First you must calculate the mass of the sliding mass and the equilibrium displacement of the spring. In Objective 1, you may wish to specifically ask the students to 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. write a lab report with the following components: title, objective, materials, procedure, data, data . 3 0.20 5 21.30 17.73 0.18 19.05 13.57 0.33 When the body The best examples of simple harmonic motion are installed bloc in the spring. During the lab assignment, the natural frequency, damping and beam oscillations are measured. 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. Harmonic motions are found in many places, which include waves, pendulum motion, & circular motion. Also, you must find the uncertainty in the period, kinetic energy, and potential energy. This period is defined as where, . For the lab, we first attacheda spring to the ring stand. << The period that you solved for will be your theoretical period. In part two of this lab, you will attach a spring on either side of a sliding mass on a frictionless air track and have a photo gate measure the period as the mass oscillates. the body is 0.300m. We recorded these oscillations with data studio for about 10 seconds. We also acknowledge previous National Science Foundation support under grant numbers 1246120, 1525057, and 1413739. 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. oscillation of a mass-spring system. These Science essays have been submitted to us by students in order to help you with your studies. These cookies will be stored in your browser only with your consent. Why Lab Procedures and Practice Must Be Communicated in a Lab. But this only works for small angles, about 5 or so. 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. After the spring constant of 9.0312 N/m was measured, equations were used to determine a calculated frequency, that being . A- Timing the oscillation (start and stop) human reaction time error Figures 1a - 1c. 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. 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. When a mass is added to the spring it takes the length of . The law is named after 17th-century . They must be answered by attach their own copy to the lab report just prior to handing in the lab to your In this experiment, we measured \(g=(7.65\pm 0.378)\text{m/s}^{2}\). 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. Purpose of this lab is to develop basic understanding of simple harmonic motion by performing an expe . 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. 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. Lab report no 2 pemdulum phyisc 212 1. FOR STUDENTS : ALL THE INGREDIENTS OF A GOOD ESSAY. This cookie is set by GDPR Cookie Consent plugin. For our final lab of associated with physics I, we will dissect the motions of a mass on a spring. is the displacement of the body from its equilibrium position (at The reason why has a negative value is to show that the force exerted by the spring is in the opposite direction of . study the effects, if any, that amplitude has on the period of a body Does the period depend on the amplitude of a pendulum? You also have the option to opt-out of these cookies. In order to conduct the experiment properly, must you consider the position . 2 14.73 5 2.94 14.50 0.20 5 Fig 4. If the hanging mass is displaced from the equilibrium position and released, then simple harmonic motion (SHM) will occur. Oscillations with a particular pattern of speeds and accelerations occur commonly in nature and in human artefacts. To do this, a spring was set up with a circular object hanging at the end. This study aims to calculate the spring constants of two types of stainless using Hooke's Law principle and simple harmonic motion methods. undergoes an arbitrary displacement from some initial position, where However, you may visit "Cookie Settings" to provide a controlled consent. /Ordering (Identity) Dont know where to start? , For our particular study we set up a force sensor which would measure a pulling force in the earthward direction. In this paper, we are going to study about simple harmonic motion and its applications. x}xT{y%3yN2 s2'LB$ 9yL $(E\hjo1hVk[qV#2s>^o~Nck X? Conclusions The laboratory experiment was mentioned to gain knowledge on basic parameters of the simple harmonic oscillation: period, frequency, and damping. is measured with the addition of each mass. We found that the pendulum goes slower than simple pendulum theory at larger angles. The brightest students know that the best way to learn is by example! A pendulum is a basic harmonic oscillator for tiny displacements. The string is clamped, and when it is displaced, it . Procedure. F_s = -kx F s = kx. 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. (2016, May 24). A large value for : an American History (Eric Foner). The spring constant refers to how "stiff" a spring is. By clicking Accept All, you consent to the use of ALL the cookies. Our complete data is shown in Table 1.0 on the next page. body to complete one oscillation is defined as the period, 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 One cycle of kinematics, including . In this lab we will study three oscillating systems that exhibit nearly ideal simple harmonic motion. When a box of unknown mass is placed into the trunk of a car, both rear In SHM, we are interested in its period of oscillation. In this lab, we will observe simple harmonic motion by studying masses on springs. These Nudge Questions are to This cookie is set by GDPR Cookie Consent plugin. << displayed in the table below. oscillating in a simple harmonic motion (SHM). 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, . Under the influence of gravity on Earth, it, Write name and date. Reading Period T(s) Frequency f (Hz) A0 (mm) A1 (mm) Log dec A0 (mm) A1 (mm) Log dec This cookie is set by GDPR Cookie Consent plugin. Necessary cookies are absolutely essential for the website to function properly. We expect that we can measure the time for \(20\) oscillations with an uncertainty of \(0.5\text{s}\). based practical work science process and equipment handling (skills building), 1 credit hr spent for experiment. EssaySauce.com is a free resource for students, providing thousands of example essays to help them complete their college and university coursework. Sign in|Recent Site Activity|Report Abuse|Print Page|Powered By Google Sites, Lab 3: Simple Harmonic motions Spring/Mass Systems Lab. Additional materials, such as the best quotations, synonyms and word definitions to make your writing easier are also offered here. Simple harmonic motion is governed by a restorative force. b) To investigate the relationship between lengths of the pendulum to the period of motion in simple harmonic motion. We reviewed their content and use your feedback to keep the quality high. Type your requirements and Ill connect you to This is shown below in Graph 1 below is for all the masses. 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 body to move through one oscillation. . When a mass is added to the spring it takes the length of, . We achieved percent error of only . ;E8xhF$D0{^eQMWr.HtAL8 Simple harmonic motion is oscillatory motion in which the restoring force is proportional to the displacement from equilibrium. 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 \(20\). as you perform the experiment. Keeping the mass constant (either smaller or larger bob) and the amplitude (om <10') constant, determine the period for five different lengths (see Eq. We also agreed that we should used a variety of masses rather than increasing each trial's mass by 0.1 g. Melanie Burns WHS Physics Level 1 Kess 2016-17, Lab 02: Acceleration and Instantaneous Speed on an Incline, Lab 1: Effect of Constant Applied Force on Graphs of Motion, Lab 2: Effect of Inertia on Graphs of Motion, Lab 3: Effect of Inertia on Acceleration (More Data Points), Standing on Two Force Plates (Sum of Two Normal Forces), Lab 1: PE, KE and ET for a Cart on an Incline, Unit 5: Periodic and Simple Harmonic Motion and Waves, Lab 4: Further Investigation of Mass/Spring Systems, Day 8: Explaining the Two-Image Photo From Space, Day 01: There is no such thing as electricity. V= length (m) / time (s) The potential energy is a not only a controled by the initial forced change in displacement but by the size of the mass. In this lab, we will observe simple harmonic motion by studying masses on springs. Views. The purpose of this lab experiment is to study the behavior of springs in 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. Once such physical system where It should be noted that the period of OBJECTIVES a) To determine the value of gravitational acceleration by using a simple pendulum. Repeat that procedure for three more times and at each trial, add 20 more grams to the mass. a) Conceptual/Theoretical Approach: By continuing, you agree to our Terms and Conditions. This experiment was designed with an intention of gaining a deeper understanding. Course Hero is not sponsored or endorsed by any college or university. The conservation of momentum is why the mass will continue to travel up and down through a series of oscillations. 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. 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. Here the constant of proportionality, position regardless of the direction of the displacement, as shown in This sensor was set to a frequency of . The time required for the 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. ?? . 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. 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. However, when applying this value to the equation and using recorded displacement values . table #5 working on the Ideal Gas Law experiment would rename their template file 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. Physics 1051 Laboratory #1 Simple Harmonic Motion Summary and Conclusions Lab Report 9: Write the expressions for #(,), 6(,), and ;(,) for the oscillator with values of -, 2, and 3 as appropriate. C- Error for parallax 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. Simple Harmonic Motion Lab Report. Each person should In the first part of this lab, you will determine the period, T, of the . During this experiment, the effects that the size of an object had on air resistance were observed and determined. The objective of this lab is to understand the behavior of objects in simple harmonic motion by determining the spring constant of a spring-mass system and a simple pendulum. is stretched to the 0.320m-mark as shown in Figure 4. Well occasionally send you promo and account related email. After this data was collected we studied to determine the length of the period of each oscillation. By knowing the velocity in the second part, you can find kinetic energy and potential energy of the oscillating mass. 8: A stopwatch ( 2 ) x = Xmax cos ( t ) The following are the equations for velocity and acceleration. 1 15 5 3 14.50 0.20 5 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. Figure 5.38 (a) The plastic ruler has been released, and the restoring force is returning the ruler to its equilibrium position. shocks are compressed a distance of 7.0cm. Conversely, an increase in the body's mass 12 0 obj Remember. 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The LibreTexts libraries arePowered by NICE CXone Expertand are supported by the Department of Education Open Textbook Pilot Project, the UC Davis Office of the Provost, the UC Davis Library, the California State University Affordable Learning Solutions Program, and Merlot. motion. Let the mean position of the particle be O. We started with a mass of , and then proceeded to add mass in units of , until a final mass of was reached. TA. is suspended from a spring and the system is allowed to reach equilibrium, Lab Report 10: Briefly summarize your experiment, in a paragraph or two, and include any experimental results. The recorded data is /Length 33985 bars? You can get a custom paper by one of our expert writers. These Questions are also found in the lab write-up template. 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. Each of the reasons for errors 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: 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! In the first part of this lab, you will determine the period, T, of the spring by observing one sliding mass that is attached to two springs with the spring constant k, and attached to a hanging mass by a string and a pulley.