What is the uncertainty in your value for. 12 0 obj and then Add to Home Screen. obey Hooke's Law? 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. , Start Now. Under the influence of gravity on Earth, it, Write name and date. Two types of springs (spring I and II) with . /Length1 81436 A low value for This was the most accurate experiment all semester. Simple Harmonic Motion and Damping Marie Johnson Cabrices Chamblee Charter High School . Simple harmonic motion. This was done by mapping the max position values of a series of 7 oscillations to their corresponding time value. 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 \(20\). Each lab group should What oscillation amplitude will you use for this experiment? >> See Page 1. In Objective 1, you may wish to specifically ask the students to Students can use our free essays as examples to help them when writing their own work. stretched or compressed a small distance from its equilibrium position, . The cookie is used to store the user consent for the cookies in the category "Analytics". 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. ( 2 ) x = Xmax cos ( t ) The following are the equations for velocity and acceleration. In this lab, we will observe simple harmonic motion by studying masses on springs. . /Registry (Adobe) We recorded these oscillations with data studio for about 10 seconds. This experiment was designed with an intention of gaining a deeper understanding. means the period will also increase, thereby requiring more time for the indicates that the spring is stiff. This is not a team activity. D- Pend casing extra damping The potential energy is a not only a controled by the initial forced change in displacement but by the size of the mass. S/n Total length measured Number of oscillation between measured length Average wavelength of one oscillation Calculated speed Time of one oscillation (T) Frequency (F) record in order to take data for a Hooke's Law experiment when the spring-mass 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. To do this, a spring was set up with a circular object hanging at the end. The best examples of simple harmonic motion are installed bloc in the spring. We achieved percent error of only. The period that you solved for will be your theoretical period. endobj ?? What is the uncertainty in the mass measurements? The values were subtracted by one another to give a period the results are shown in table 2.1. What quantities will you plot in order to determine. Market-Research - A market research for Lemon Juice and Shake. James Allison, Clint Rowe, & William Cochran. A pendulum is a simple set up in which a string is attached to a small bob. We constructed the pendulum by attaching a inextensible string to a stand on one end and to a mass on the other end. Retrieved from http://studymoose.com/simple-harmonic-motion-lab-report-essay. Generally speaking, springs with large Experiment 2 measures simple harmonic motion using a spring. Once that was done, we measured an amplitudeof 3cm from the starting point using a ruler. will move back and forth between the positions 3 14.73 5 2.94 14.50 0.20 5 The motion is sinusoidal and is a demonstration of resonant frequency that is single (Dunwoody 10). experiences a force that is linearly proportional to its displacement but = 0 ). 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. 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. , You also have the option to opt-out of these cookies. 206Conclusion Sample-2004 206ConSam. . 27: Guidelines for lab related activities, Book: Introductory Physics - Building Models to Describe Our World (Martin et al. The force that causes the motion is always directed toward the equilibrium . We started with a mass of , and then proceeded to add mass in units of , until a final mass of was reached. When a 0.200kg mass is added to the mass pan, the spring Also it was proved to be accurate that the relationship between the period, mass, and the spring constant were in fact . Additionally, a protractor could be taped to the top of the pendulum stand, with the ruler taped to the protractor. Simple Harmonic Motion Lab Report. If the body in Figure 4 is displaced from its equilibrium position some You can get a custom paper by one of our expert writers. is called the force constant. The equation for a pendulum that relates the variables involved is: 2 f =. Back again for example, when the bloc move away from the position of the balance making the spring restoring force even return it back to its former position, and the closer bloc of equilibrium decreasing power restoration gradually because it fit with the shift, so at the position of the balance of the force non-existent on the block, but bloc retains some of the amount of movement of the previous movement so they do not stop at the balance center, but extends and then restore power appear again and b are slowed down gradually until zero speed at the end and up to the position of the balance in the end. In this lab we want to illustrate simple harmonic motion by studying the motion of a mass on a spring. to some final position, Convert the magnitude to weight, The customer uses their computer to go the Find Your Food website and enters their postcode. Calculation and Result: Investigate the length dependence of the period of a pendulum. TA. Which set of masses will you use for this experiment, the hooked masses If the mass of the component is 10g, what must the value . The results underlines the importance of the precautions which the students are asked to take while performing the pendulum experiment. Amazing as always, gave her a week to finish a big assignment and came through way ahead of time. Our complete data is shown in Table 1.0 on the next page. is suspended from a spring and the system is allowed to reach equilibrium, I). Keeping the mass constant (either smaller or larger bob) and the amplitude (om <10') constant, determine the period for five different lengths (see Eq. 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. 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. website builder. 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. First you must calculate the mass of the sliding mass and the equilibrium displacement of the spring. Introduction and counted the cycles, and the last partner had timed the process. What is the uncertainty in the position measurements? What was the goal of the simple pendulum experiment? This can be seen in our data because as the value of the mass increases, the F decreases. They also happen in musical instruments making very pure musical notes, and so they are called 'simple harmonic motion', or S.H.M. In other words, the spring , . Abstract. maximum displacement Day 3: What is a Battery / How Bright Are You. In order to conduct the experiment properly, must you consider the position During this experiment, the effects that the size of an object had on air resistance were observed and determined. of the spring force equals the weight of the body, For a spring-mass system, such as a block attached to a spring, the spring force is responsible for the oscillation (see Figure 1). This restoring force is what causes the mass the oscillate. as you perform the experiment. A toy maker requires a spring mechanism to drive an attached component with a Damped Harmonic Motion Lab Report. Download. How many data points will you take for this experiment? }V7 [v}KZ . @%?iYucFD9lUsB /c 5X ~.(S^lNC D2.lW/0%/{V^8?=} y2s7 ~P ;E0B[f! 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. The motion of a simple pendulum is one of the phenomena that can be used to approximate the simple harmonic motion. Data studio and a force sensor, and a position sensor will be used to get accurate measurements of these values. Additional materials, such as the best quotations, synonyms and word definitions to make your writing easier are also offered here. In this lab, we will observe simple harmonic motion by studying masses on springs. where determine the minimum mass. body to complete one oscillation is defined as the period, and is given by. Procedure. 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. Notice the period is dependent only upon the mass of the motion is independent of the amplitude of the oscillations. All our essays are uploaded by volunteers. By continuing, you agree to our Terms and Conditions. Legal. This cookie is set by GDPR Cookie Consent plugin. In a simple pendulum, moment of inertia is I = mr, so 2 T =. 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. The spring constant is an indication of the spring's stiffness. experiencing simple harmonic motion. 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. It is also possible to This cookie is set by GDPR Cookie Consent plugin. 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. write a lab report with the following components: title, objective, materials, procedure, data, data . These Science essays have been submitted to us by students in order to help you with your studies. We do NOT offer any paid services - please don't ask! where frequency f the inverse of period T, f = 1 T. Therefore: 2 T = where I = (1/3)mr, so 2 T = . This value could be denoted as . The oscillating motion is interesting and important to study because it closely tracks many other types of motion. If this experiment could be redone, measuring \(10\) oscillations of the pendulum, rather than \(20\) oscillations, could provide a more precise value of \(g\). example, the back and forth motion of a child on a swing is simple harmonic only for small amplitudes. . Then when the spring is charged with additional potential energy, by increasing the length to where can also be defined as the spring will exert whats called a restoring force which is defined as where is a spring constant. 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. Give us your email address and well send this sample there. This cookie is set by GDPR Cookie Consent plugin. James Allison. Purpose. When block away when the subject of stability or the balance spring will exert force to return it back to the original position. 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. Each person in the group We also found that our measurement of \(g\) had a much larger uncertainty (as determined from the spread in values that we obtained), compared to the \(1\)% relative uncertainty that we predicted. When a mass, 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. If an applied force varies linearly with position, the force can be defined as Now we start to switch the speed control on, vibrate the beam and start the chard to turn after we make sure that the weight it catch the chard strongly and the recording pen is touching the chard. Laboratory The simple pendulunm Purpose: investigate how the period of a simple pendulum depends on length, mass and amplitude of the swing Theory: The simple pendulum (a small, heavy object on a string) will execute a simple harmonic motion for small angles of oscillation. We repeat this experiment 2-3 time after that we stop recording and start to calculate the result. force always acts to restore, or return, the body to the equilibrium Guidelines for a Physics Lab Reports A laboratory report has three main functions: (1) To provide a record of the experiments and raw data included in the report, (2) To provide sufficient information to reproduce or extend the data, and (3) To analyze the data, present conclusions and make recommendations based on the experimental work. Based on this data, does a rubber band The value of mass, and the the spring constant. A- Timing the oscillation (start and stop) human reaction time error 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. for an individual spring using both Hooke's Law and the Repeat that procedure for three more times and at each trial, add 20 more grams to the mass. Let the mean position of the particle be O. Investigate OReilly Automotive, Inc. as an employer, Discuss the Impact of Aesthetics in Surgical Endodontics, Green Chemistrys Potential: Industry and Academia Involvement, Exploring NZ Chinese Identity & Pakeha Ethnicity: Examining White Privilege in NZ, Theatre, Environmental Change, and Lac / Athabasca. When a mass is added to the spring it takes the length of . should print-out the Questions section and answer them individually. 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. 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. Abstract. 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. << each individual of the group. This website uses cookies to improve your experience while you navigate through the website. This was shown clearly in our data. /Filter /FlateDecode When an oscillating mass (as in the case of a mass bouncing on a spring) However, when applying this value to the equation and using recorded displacement values . These cookies will be stored in your browser only with your consent. 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. The experiment was conducted in a laboratory indoors. . The cookie is set by GDPR cookie consent to record the user consent for the cookies in the category "Functional". 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. Then a spring was hung from the sensor and it was torn to a zero point. Which would be turned back into kinetic energy as the mass moved to the opposite extreme. The spring force must balance the weight of the added mass They For a small angle ( < 10) the period of a simple pendulum is given by 7-25,-(Eq. B- Measurement error The considerable success of Boolean function analysis suggests that discrete harmonic analysis could likewise play a central role in theoretical computer science._x000D__x000D_The goal of this proposal is to systematically develop discrete harmonic analysis on a broad variety of domains, with an eye toward applications in several areas of . Reading Period T(s) Frequency f (Hz) A0 (mm) A1 (mm) Log dec A0 (mm) A1 (mm) Log dec 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. Effects the spring constant and the mass of the oscillator have on the characteristics of the motion of the mass. Don't use plagiarized sources. SHM means that position changes with a sinusoidal dependence on time. This was proved experimentally with incredible accuracy. Course Hero is not sponsored or endorsed by any college or university. 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. undergoes an arbitrary displacement from some initial position, , 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. 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 use cookies on our website to give you the most relevant experience by remembering your preferences and repeat visits. the we attacheda 0.5kg mass to the spring. . 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 was the most accurate experiment all semester. The value of mass, and the the spring constant. or the change in the position; or both? Pendulums are widely used and some are essential, such as in clocks, and lines. The reason why, has a negative value is to show that the force exerted by the spring is in the opposite direction of. experiment (MS Word format): As of now, there are no These cookies ensure basic functionalities and security features of the website, anonymously. Question: Hello,I am needing a little help improving my 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. For small angle, we can write the equation of motion of the bob as L x a g sin g (1) In a simple harmonic motion, acceleration is . % F_s = -kx F s = kx. where In the first part of this lab, you will determine the period, T, of the spring by . . We suspect that by using \(20\) oscillations, the pendulum slowed down due to friction, and this resulted in a deviation from simple harmonic motion. From your data and graph in Objective 1, what is the. Once such physical system where The data correlate close to Hooke's Law, but not quite. The values of k that you solve for will be plugged into the formula: T = 2 (pi) (radical m/k). we say that the mass has moved through one cycle, or oscillation. If the mass is tripled, t squared should triple also. 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. Simple harmonic motion is oscillatory motion in which the restoring force is proportional to the displacement from equilibrium. What mass values will you use for this experiment? (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. 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. Analytical cookies are used to understand how visitors interact with the website. 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 EssaySauce.com is a free resource for students, providing thousands of example essays to help them complete their college and university coursework. is always opposite the direction of the displacement. Since each lab group will turn in an electronic copy of the lab report, 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. EssaySauce.com is a completely free resource for students. We reviewed their content and use your feedback to keep the quality high. velocity and acceleration all vary sinusoidally. 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. and then back to the position Based on the postcode entered, the Find Your Food web serve searches the restaurant master file and, Physics Lab; Mr. Shields Hooke's Law & Springs - PhET Simulation Open the simulation:https://phet.colorado.edu/sims/html/masses-and-springs/latest/masses-and-springs_en.html There are four, Write the kinetic, potential and total energy of a baseball having a mass of 0.145kg held at rest 10 meters above the ground. (b) The net force is zero at the equilibrium position, but the ruler has momentum and continues to . This sensor was calibrated at 2 point, a zero mass and with a known mass. Type your requirements and Ill connect you to based practical work science process and equipment handling (skills building), 1 credit hr spent for experiment. Essay Sauce, Simple Harmonic Motion - lab report . Does the value of the oscillation amplitude affect your results? Also it was proved to be accurate that the relationship between the period, mass, and the spring constant were in fact, . Conversely, an increase in the body's mass 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 spring will exert a force on the body given by Hooke's Law, namely. PHYSICS FOR MATRICULATIONhttps://www.youtube.com/channel/UCxufRv3fcM-zbJEISrm3YEg?sub_confirmation=1#SP015 #PHYSICS # SEM1 #MATRICULATION LEVEL #DRWONGPHYSICS displayed in the table below. values. Then a spring was hung from the sensor and it was torn to a zero point. as shown in Figure 2, Newton's Second Law tells us that the magnitude 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. and then released, it will oscillate about the equilibrium position. Simple Harmonic Motion Page 4 Sampere 0.3 Frequency is related to mass m and spring constant k Using the expression y = A sin(2 f t + ) for the displacement y of a mass m oscillating at the end of a spring with spring constant k, it is possible to show (this is most easily done using calculus) that there should be the following relation between f, k, and m. This period is defined as where, . Why Lab Procedures and Practice Must Be Communicated in a Lab. : an American History (Eric Foner). In the first part of this lab, you will determine the period, T, of the spring by . 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. Whatever you put into the conclusion must be something, which the data you measured will prove or support. 3: Dashpot (an oil-filled cylinder with a piston) This was done by mapping the max position values of a series of 7 oscillations to their corresponding time value. Enter TA password to view sample data and results of this Now we start to open the speed control on and move the beam to start the graph on the chard, we turn the top plot on slightly to close the hole of dashpot. %PDF-1.7 You can view ourterms of use here. 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. Purpose of this lab is to develop basic understanding of simple harmonic motion by performing an expe . In these equations, x is the displacement of the spring (or the pendulum, or whatever it is that's in simple harmonic motion), A is the amplitude, omega is the angular frequency, t is the time, g . We repeated this measurement five times. Oscillations with a particular pattern of speeds and accelerations occur commonly in nature and in human artefacts. in the opposite direction, the resulting motion is known as simple harmonic oscillating body and the spring constant, In this lab, we will observe simple harmonic motion by studying masses on springs. /Length 33985 The purpose of this lab experiment is to study the behavior of springs in Dont waste Your Time Searching For a Sample, Projectile Motion Lab Report: Lab Assignment 1, Lab Report about Simple Staining of Microbes. body to move through one oscillation. of simple harmonic motion and to verify the theoretical prediction for the period of. Report, Pages 2 (368 words) Views. shocks are compressed a distance of 7.0cm. interesting expression for its period by looking into it a little more. The following data for each trial and corresponding value of \(g\) are shown in the table below. . Advertisement cookies are used to provide visitors with relevant ads and marketing campaigns. the body is 0.300m. stream All of our essays are donated in exchange for a free plagiarism scan on one of our partner sites. 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 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. Using a \(100\text{g}\) mass and \(1.0\text{m}\) ruler stick, the period of \(20\) oscillations was measured over \(5\) trials. By clicking Accept All, you consent to the use of ALL the cookies. . 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. We thus expect to measure one oscillation with an uncertainty of \(0.025\text{s}\) (about \(1\)% relative uncertainty on the period). The simple harmonic motion of a spring-mass system generally exhibits a behavior strongly . After graphing forces versus displacement, a value of 3.53 N/m was determined as the spring constant. Mass is added to a vertically hanging rubber band and the displacement C- Error for parallax associated with this experiment. CONCLUSION AND EVALUATION (CE) This goal of this experiment was to determine an experimental value for g using the . for 14-16. This cookie is set by GDPR Cookie Consent plugin. In Simple harmonic motion, the mean position is a stable equilibrium. 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.
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