10 0 obj Investigate the length dependence of the period of a pendulum. This period is defined as, For our particular study we set up a force sensor which would measure a pulling force in the earthward direction. Which would be turned back into kinetic energy as the mass moved to the opposite extreme. 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. maximum distance, We use cookies on our website to give you the most relevant experience by remembering your preferences and repeat visits. A large value for The length of the arc represents the linear, deviation from equilibrium. 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. and then back to the position Conclusion: Effects the spring constant and the mass of the oscillator have on the characteristics of the motion of the mass. * This essay may have been previously published on Essay.uk.com at an earlier date. Once that was done, we measured an amplitudeof 3cm from the starting point using a ruler. The recorded data is All our essays are uploaded by volunteers. Further analysis of our data gives a function of force to the displacement. If we assume the two rear In this lab we will study three oscillating systems that exhibit nearly ideal simple harmonic motion. position regardless of the direction of the displacement, as shown in 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. of the spring force equals the weight of the body, The corresponding value of \(g\) for each of these trials was calculated. period of 0.50s. FOR STUDENTS : ALL THE INGREDIENTS OF A GOOD ESSAY. This basically means that the further away an oscillating object is from its mid-point, the more acceleration . , Retrieved from http://studymoose.com/simple-harmonic-motion-lab-report-essay. Each of the reasons for errors Pendulums are widely used and some are essential, such as in clocks, and lines. The next part, you will determine the period, T, of oscillation caused by two springs attached to either side of a sliding mass. 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 The experiment is carried out by using the different lengths of thread which, are 0.2m, 0.4m, 0.6m and 0.8m. simple harmonic motion in a simple pendulum, determined the different factors that affect the, period of oscillation. 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. We adjusted the knots so that the length of the pendulum was \(1.0000\pm0.0005\text{m}\). When block away when the subject of stability or the balance spring will exert force to return it back to the original position. 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! After graphing forces versus displacement, a value of 3.53 N/m was determined as the spring constant. We repeat this experiment 2-3 time after that we stop recording and start to calculate the result. be sure to rename the lab report template file. /Length 33985 (See. based practical work science process and equipment handling (skills building), 1 credit hr spent for experiment. 12 0 obj as shown in Figure 2, Newton's Second Law tells us that the magnitude Simple Harmonic Motion Lab Report. At t = 0, the particle is at point P (moving towards the right . This page of the essay has 833 words. 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. Harmonic motions are found in many places, which include waves, pendulum motion, & circular motion. 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. , and then proceeded to add mass in units of. We transcribed the measurements from the cell-phone into a Jupyter Notebook. Procedure. bars? (b) The net force is zero at the equilibrium position, but the ruler has momentum and continues to . When a mass is added to the spring it takes the length of, . 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. What is the uncertainty in the position measurements? What is the uncertainty in the mass measurements? The value of mass, and the the spring constant. determine the minimum mass. 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. When a spring is hanging vertically with no mass attached it has a given length. Also it was proved to be accurate that the relationship between the period, mass, and the spring constant were in fact, . By knowing the velocity in the second part, you can find kinetic energy and potential energy of the oscillating mass. oscillating in a simple harmonic motion (SHM). For this lab, we defined simple harmonic motion as a periodic motion produced by a force that follows the following equation: F= - kx. This website uses cookies to improve your experience while you navigate through the website. But opting out of some of these cookies may affect your browsing experience. This was proved experimentally with incredible accuracy. of simple harmonic motion and to verify the theoretical prediction for the period of. means the period will also increase, thereby requiring more time for the /Filter /FlateDecode 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. Abstract. 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. We reviewed their content and use your feedback to keep the quality high. In order to conduct the experiment properly, must you consider the position Equation 1 applies to springs that are initially unstretched. , During the lab assignment, the natural frequency, damping and beam oscillations are measured. 2: Spring attached to the free end of the beam 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. 2 0.20 5 21.82 17.98 0.19 19.57 13.57 0.36 What quantities will you plot in order to determine. Report, Pages 2 (368 words) Views. and is given by. is 0.020m. . That is, if the mass is doubled, T squared should double. Analysis: Simple harmonic motion is oscillatory motion in which the restoring force is proportional to the displacement from equilibrium. motion is independent of the amplitude of the oscillations. . How will you decrease the uncertainty in the period measurement? View PDF. We will determine the spring constant, , for an individual spring using both Hooke's Law and the properties of an oscillating spring system.It is also possible to study the effects, if any, that amplitude has on the period of a body experiencing simple harmonic motion. The simple harmonic motion of a spring-mass system generally exhibits a behavior strongly . 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. Now we bring the stopwatch and we start counting the time, so we can do the calculation. The site offers no paid services and is funded entirely by advertising. Finally, from the result and the graph, we found that the value of, Periodic motion is defined as a regular motion that repeats itself in waves. Let the mean position of the particle be O. The motion is sinusoidal and is a demonstration of resonant frequency that is single (Dunwoody 10). The data correlate close to Hooke's Law, but not quite. Other uncategorized cookies are those that are being analyzed and have not been classified into a category as yet. 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. Day 3: What is a Battery / How Bright Are You. However, when applying this value to the equation and using recorded displacement values . This way, the pendulum could be dropped from a near-perfect \(90^{\circ}\) rather than a rough estimate. The law states that F = -ky, where F is in this case Mg and y equals the negative displacement. You also have the option to opt-out of these cookies. , Lab. This type of motion is also called oscillation, motion. 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. We pulled the mass down and released it to let it oscillate. Each person should Therefore the displacement Do that method five times and then solve for the spring constant through the formula: (Delta m) g = k (Delta x). , Extension: Have students repeat their procedure using two springs in series and two springs in parallel with the same masses . Conversely, an increase in the body's mass is the body's displacement. F_s = -kx F s = kx. is called the force constant. When a mass, A pendulum is a simple set up in which a string is attached to a small bob. 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. 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. We achieved percent error of only . the body is 0.300m. Figures 1a - 1c. Therefore, if we know the mass of a body at equilibrium, we can determine The cookies is used to store the user consent for the cookies in the category "Necessary". Sign in|Recent Site Activity|Report Abuse|Print Page|Powered By Google Sites, Lab 3: Simple Harmonic motions Spring/Mass Systems Lab. Introduction this force exists is with a common helical spring acting on a body. body to move through one oscillation. 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. The baseball is released. 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. When an oscillating mass (as in the case of a mass bouncing on a spring) 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. Available from: [Accessed 04-03-23]. c"p. the system is balanced and stable. table #5 working on the Ideal Gas Law experiment would rename their template file 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 . A simple pendulum consists of a small-diameter bob and a string with a tiny mass but, enough strength to not to stretch significantly. Additionally, a protractor could be taped to the top of the pendulum stand, with the ruler taped to the protractor. Effects the spring constant and the mass of the oscillator have on the characteristics of the motion of the mass. 692. Analytical cookies are used to understand how visitors interact with the website. 2). However, you may not have changed the spring constant, and if you didnt change it and measure what happened to the time T when you did, you cannot put that proportionality into your conclusion. Mass on a Spring. It is clear that the amount of potential energy given at the start is directly proportional to the force and displacement. The purpose of this lab experiment is to study the behavior of springs in This was proved experimentally with incredible accuracy. we say that the mass has moved through one cycle, or oscillation. 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. /Ordering (Identity) 3 14.73 5 2.94 14.50 0.20 5 We suspect that by using \(20\) oscillations, the pendulum slowed down due to friction, and this resulted in a deviation from simple harmonic motion. 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. Based on this data, does a rubber band Two types of springs (spring I and II) with . This is shown below in Graph 1 below is for all the masses. 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. We also use third-party cookies that help us analyze and understand how you use this website. Conclusion Simple Harmonic Motion Lab Report. Market-Research - A market research for Lemon Juice and Shake. In this experiment, we measured \(g\) by measuring the period of a pendulum of a known length. 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. experiencing simple harmonic motion. This was the most accurate experiment all semester. Simple Harmonic Motion Equation. }V7 [v}KZ . @%?iYucFD9lUsB /c 5X ~.(S^lNC D2.lW/0%/{V^8?=} y2s7 ~P ;E0B[f! For a small angle ( < 10) the period of a simple pendulum is given by 7-25,-(Eq. This period is defined as where, . Since each lab group will turn in an electronic copy of the lab report, Therefore, Hooke's law describes and applies to the simplest case of oscillation, known as simple harmonic motion. Course Hero is not sponsored or endorsed by any college or university. If the spring is This was shown clearly in our data. After this data was collected we studied to determine the length of the period of each oscillation. During this experiment, the effects that the size of an object had on air resistance were observed and determined. Why Lab Procedures and Practice Must Be Communicated in a Lab. In this lab we want to illustrate simple harmonic motion by studying the motion of a mass on a spring. ( = 1.96N). Does the period depend on the amplitude of a pendulum? SHM means that position changes with a sinusoidal dependence on time. 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. We will study how a mass moves and what properties of spring give the mass a predictable movement. If so, what equipment would you need and what parameters would you B- Measurement error 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 . Using a \(100\text{g}\) mass and \(1.0\text{m}\) ruler stick, the period of \(20\) oscillations was measured over \(5\) trials. They also happen in musical instruments making very pure musical notes, and so they are called 'simple harmonic motion', or S.H.M. 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. Our final measured value of \(g\) is \((7.65\pm 0.378)\text{m/s}^{2}\). Our complete data is shown in Table 1.0 on the next page. Figure 5.38 (a) The plastic ruler has been released, and the restoring force is returning the ruler to its equilibrium position. We will determine the spring constant, and counted the cycles, and the last partner had timed the process. , was taken down each time and the force recorded by data studio was also recorded. A low value for V= length (m) / time (s) << Amazing as always, gave her a week to finish a big assignment and came through way ahead of time. A pendulum exhibits simple harmonic motion (SHM), which allowed us to measure the gravitational constant by measuring the period of the pendulum. CUPOL experiments This was shown clearly in our data. = ln A0 / A1 Course Hero is not sponsored or endorsed by any college or university. This was calculated using the mean of the values of g from the last column and the corresponding standard deviation. difference was observed in the experiment. Students looking for free, top-notch essay and term paper samples on various topics. 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. We do NOT offer any paid services - please don't ask! 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. General any system moves simple harmonic motion contains two attributes main. This is consistent with the fact that our measured periods are systematically higher. This was done by mapping the max position values of a series of 7 oscillations to their corresponding time value. F=1/T Let the speed of the particle be 'v0' when it is at position p (at a distance x from the mean position O). 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. 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. Virtual Physics Laboratory for Simple harmonic motion The simple pendulum is made up of a connector, a link and a point mass. 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. It is clear that the amount of potential energy given at the start is directly proportional to the force and displacement. 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 . Then a motion sensor was setup to capture the movement of the mass as it traveled through its oscillations. What oscillation amplitude will you use for this experiment? Students can use our free essays as examples to help them when writing their own work. Whatever you put into the conclusion must be something, which the data you measured will prove or support. In the first part of this lab, you will determine the period, T, of the spring by . 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. 2 14.73 5 2.94 14.50 0.20 5 . As the stiffness of the spring increases (that is, as The . Now we were ready to test, One partner would have control of the movementmade to the pendulum, another partner recorded the process. . This study aims to calculate the spring constants of two types of stainless using Hooke's Law principle and simple harmonic motion methods. By clicking Check Writers Offers, you agree to our terms of service and privacy policy. If this experiment could be redone, measuring \(10\) oscillations of the pendulum, rather than \(20\) oscillations, could provide a more precise value of \(g\). 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. website builder. 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. 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. In a simple pendulum, moment of inertia is I = mr, so 2 T =. We constructed the pendulum by attaching a inextensible string to a stand on one end and to a mass on the other end. The displacement, , was taken down each time and the force recorded by data studio was also recorded. ~ 5";a_x ~10). James Allison. 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 following data for each trial and corresponding value of \(g\) are shown in the table below. First you must calculate the mass of the sliding mass and the equilibrium displacement of the spring. Every spring has a spring constant, this is the amount of resistance that a particular spring exerts to retain its original shape. This sensor was calibrated at 2 point, a zero mass and with a known mass. where Legal. Explain why or why not? This problem should be solved using the principles of Energy Conservation. Use the apparatus and what you know about. attach their own copy to the lab report just prior to handing in the lab to your to some final position, Simple harmonic motion. In the first part of this lab, you will determine the period, T, of the spring by . The spring constant refers to how "stiff" a spring is. 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. Abstract. We built the pendulum with a length \(L=1.0000\pm 0.0005\text{m}\) that was measured with a ruler with \(1\text{mm}\) graduations (thus a negligible uncertainty in \(L\)). 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. , We repeated this measurement five times. 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: T = 2 L g. Thus, by measuring the period of a pendulum as well as its length, we can determine the value of g: experiences a force that is linearly proportional to its displacement but << as "5 Gas Law.doc". values can balance larger forces than springs with low 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. 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. Experiment 2 measures simple harmonic motion using a spring. These Nudge Questions are to when the mass increases the frequency decreases. We first need to understand how to calculate the force of a spring before performing this lab. properties of an oscillating spring system. Enter TA password to view sample data and results of this 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) Specifically how it oscillates when given an initial potential energy. Calculation and Result: Conclusions The laboratory experiment was mentioned to gain knowledge on basic parameters of the simple harmonic oscillation: period, frequency, and damping. 7: A ruler C- Error for parallax The potential energy is a not only a controled by the initial forced change in displacement but by the size of the mass. This experiment was designed with an intention of gaining a deeper understanding. In this experiment, we measured \(g=(7.65\pm 0.378)\text{m/s}^{2}\). "Simple Harmonic Motion Report," Free Essay Examples - WePapers.com, 29-Nov-2020 . shocks are made from springs, each with a spring constant value of. In this paper, we are going to study about simple harmonic motion and its applications. . displayed in the table below. oscillating body and the spring constant, After the spring constant of 9.0312 N/m was measured, equations were used to determine a calculated frequency, that being . 1: Rectangular beam clamped one one end and free on the other Additional materials, such as the best quotations, synonyms and word definitions to make your writing easier are also offered here. 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. Well occasionally send you promo and account related email. Simple Harmonic Motion. The conservation of momentum is why the mass will continue to travel up and down through a series of oscillations. 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.

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