simple harmonic motion lab report conclusion simple harmonic motion lab report conclusion

In this lab, we will observe simple harmonic motion by studying masses on springs. TA. It should be noted that the period of We also use third-party cookies that help us analyze and understand how you use this website. The baseball is released. A pendulum exhibits simple harmonic motion (SHM), which allowed us to measure the gravitational constant by measuring the period of the pendulum. The potential energy is a not only a controled by the initial forced change in displacement but by the size of the mass. 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. 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. 04/20/12. The value of mass, and the the spring constant. Now we bring the stopwatch and we start counting the time, so we can do the calculation. c"p. Conclusion Simple Harmonic Motion Lab Report. What was the goal of the simple pendulum experiment? V= length (m) / time (s) EssaySauce.com has thousands of great essay examples for students to use as inspiration when writing their own essays. this force exists is with a common helical spring acting on a body. }V7 [v}KZ . @%?iYucFD9lUsB /c 5X ~.(S^lNC D2.lW/0%/{V^8?=} y2s7 ~P ;E0B[f! 1 0.20 5 20.54 17.57 0.156 19 13.45 0.34 In this lab we want to illustrate simple harmonic motion by studying the motion of a mass on a spring. website builder. . download the Lab Report Template We constructed the pendulum by attaching a inextensible string to a stand on one end and to a mass on the other end. Aim: When block away when the subject of stability or the balance spring will exert force to return it back to the original position. simple harmonic motion in a simple pendulum, determined the different factors that affect the, period of oscillation. Average 0.20 5 21.20 17.76 0.173 19.19 13.53 0.34 We repeated this measurement five times. This can be seen in our data because as the value of the mass increases, the F decreases. 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. . When the mass travels from the As the stiffness of the spring increases (that is, as This conclusion supports our objective as we were able to find the relationship between the springs constant and the frequency. Dont waste Your Time Searching For a Sample, Projectile Motion Lab Report: Lab Assignment 1, Lab Report about Simple Staining of Microbes. 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. When the body Attached will be the lab experiment we did and the results I recorded. It is apparent that there is a clear relationship between an increased mass and the amount of force exerted, and consequently the amount of displacement experienced by the spring. This was the most accurate experiment all semester. 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. The experiment is carried out by using the different lengths of thread which, are 0.2m, 0.4m, 0.6m and 0.8m. 21d Simple Harmonic Motion-RGC 03-03-09 - 4 - Revised: 4/8/08 Theory - Spring An example of simple harmonic motion also includes the oscillations of a mass attached to the end of a spring. Well occasionally send you promo and account related email. Course Hero is not sponsored or endorsed by any college or university. to the minimum displacement By looking into this simple pendulum a little more, we may identify the, conditions under which the simple pendulum performs simple harmonic motion and get an. When a mass is added to the spring it takes the length of . Simple Harmonic Motion. Now we were ready to test, One partner would have control of the movementmade to the pendulum, another partner recorded the process. A pendulum is a simple set up in which a string is attached to a small bob. = 0 ). What is the uncertainty in the period measurements? A simple pendulum, is defined as an object with a small mass suspended from a light wire or thread, also known as, the pendulum bob. /Length 33985 stream of the spring force equals the weight of the body, This page of the essay has 833 words. If the spring is Other uncategorized cookies are those that are being analyzed and have not been classified into a category as yet. We do NOT offer any paid services - please don't ask! James Allison. 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, . This value could be denoted as . . The spring constant refers to how "stiff" a spring is. This sensor was set to a frequency of . The cookie is used to store the user consent for the cookies in the category "Other. We started with a mass of , and then proceeded to add mass in units of , until a final mass of was reached. The recorded data is Simple Harmonic Motion and Damping Marie Johnson Cabrices Chamblee Charter High School . Advertisement cookies are used to provide visitors with relevant ads and marketing campaigns. the body is 0.300m. Question: 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 time required for the 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. That means that the force, F, is proportional to x, the distance the mass is pulled down from rest. . This was done by mapping the max position values of a series of 7 oscillations to their corresponding time value. 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What mass values will you use for this experiment? When a mass is added to the spring it takes the length of, . maximum displacement In its setup, the experiment had a mass suspended by a. spring and then the system was made to oscillate. It does not store any personal data. By knowing the velocity in the second part, you can find kinetic energy and potential energy of the oscillating mass. They must be answered by Therefore, Hooke's law describes and applies to the simplest case of oscillation, known as simple harmonic motion. , Damped Harmonic Motion Lab Report. Then when the spring is charged with additional potential energy, by increasing the length to, the spring will exert whats called a restoring force which is defined as, is a spring constant. Apparatus and Experimental Procedure: "Simple Harmonic Motion Report," Free Essay Examples - WePapers.com, 29-Nov-2020 . experiencing simple harmonic motion. Which set of masses will you use for this experiment, the hooked masses We reviewed their content and use your feedback to keep the quality high. Type your requirements and Ill connect you to When a 0.200kg mass is added to the mass pan, the spring The cookie is used to store the user consent for the cookies in the category "Analytics". For example, radiation . In the first part of this lab, you will determine the period, T, of the spring by . These cookies track visitors across websites and collect information to provide customized ads. This value could be denoted as, . For a small angle ( < 10) the period of a simple pendulum is given by 7-25,-(Eq. 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. Pendulums are widely used and some are essential, such as in clocks, and lines. , and then proceeded to add mass in units of. (download the rest of the essay above). Fig 4. >> 3 14.73 5 2.94 14.50 0.20 5 We repeat this experiment 2-3 time after that we stop recording and start to calculate the result. Our complete data is shown in Table 1.0 on the next page. Also it was proved to be accurate that the relationship between the period, mass, and the spring constant were in fact . where No- 3. Available at Ward's Science: https://www.wardsci.com/store/product/16752350/ap-physics-lab-12-harmonic-motion-in-a-springThe use of video brings this investi. % Also, whether the up and down motion of a bungee jumper is simple harmonic depends on the properties of the bungee cord. 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. * This essay may have been previously published on Essay.uk.com at an earlier date. Analytical cookies are used to understand how visitors interact with the website. << A good example of SHM is an object with mass m attached to a spring on a frictionless surface, as shown in Figure 15.2.2. determined? Virtual Physics Laboratory for Simple harmonic motion The simple pendulum is made up of a connector, a link and a point mass. 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. This problem should be solved using the principles of Energy Conservation. experiment (MS Word format): As of now, there are no A- Timing the oscillation (start and stop) human reaction time error Specifically how it oscillates when given an initial potential energy. For example in Figure 3, the initial position of is 0.020m. 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 \(20\). this equation can be written as. Don't use plagiarized sources. Views. velocity and acceleration all vary sinusoidally. F_s = -kx F s = kx. , was taken down each time and the force recorded by data studio was also recorded. What quantities will you plot in order to determine. body's average velocity. Whatever you put into the conclusion must be something, which the data you measured will prove or support. Our final measured value of \(g\) is \((7.65\pm 0.378)\text{m/s}^{2}\). You can get a custom paper by one of our expert writers. values can balance larger forces than springs with low This period is defined as where, . Additionally, a protractor could be taped to the top of the pendulum stand, with the ruler taped to the protractor. shocks are made from springs, each with a spring constant value of. Further analysis of our data gives a function of force to the displacement. Simple harmonic motion is governed by a restorative force. PHYSICS FOR MATRICULATIONhttps://www.youtube.com/channel/UCxufRv3fcM-zbJEISrm3YEg?sub_confirmation=1#SP015 #PHYSICS # SEM1 #MATRICULATION LEVEL #DRWONGPHYSICS We pulled the mass down and released it to let it oscillate. The . View PDF. In Objective 1, you may wish to specifically ask the students to 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. >> obey Hooke's Law? To do this, a spring was set up with a circular object hanging at the end. for an individual spring using both Hooke's Law and the 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. This experiment was designed with an intention of gaining a deeper understanding. These Nudge Questions are to This has a relative difference of \(22\)% with the accepted value and our measured value is not consistent with the accepted value. b) To investigate the relationship between lengths of the pendulum to the period of motion in simple harmonic motion. For a small angle ( < 10) the period of a simple pendulum is given by 7-25,-(Eq. 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". 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. Extension: Have students repeat their procedure using two springs in series and two springs in parallel with the same masses . The results underlines the importance of the precautions which the students are asked to take while performing the pendulum experiment. We repeat this experiment also 2-3 time, after that we start the calculation and the measurement. Find out what to do if this happens here. Therefore the displacement These experiments are suitable for students at an advanced level . The period that you solved for will be your theoretical period. Let the mean position of the particle be 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. 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. They Calculation and Result: Report, Pages 2 (368 words) Views. In this lab, we will observe simple harmonic motion by studying masses on springs. Simple Harmonic Motion Lab Report. Hooke's Law and the Simple Harmonic Motion of a Spring Lab. 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. Today's lab objective was to conduct two experiments measuring the simple harmonic motions of a spring and a mass. is stretched to the 0.320m-mark as shown in Figure 4. oscillating in a simple harmonic motion (SHM). 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. Since each lab group will turn in an electronic copy of the lab report, Necessary cookies are absolutely essential for the website to function properly. Based on this data, does a rubber band This motion is periodic, meaning the displacement, 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. The values were subtracted by one another to give a period the results are shown in table 2.1. Day 3: What is a Battery / How Bright Are You. be answered by your group and checked by your TA as you do the lab. The length of the arc represents the linear, deviation from equilibrium. In this paper, we are going to study about simple harmonic motion and its applications. Each person should 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 study aims to calculate the spring constants of two types of stainless using Hooke's Law principle and simple harmonic motion methods. 10 0 obj static and dynamic situations. 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. 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. : an American History (Eric Foner). << 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. 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. /Length1 81436 The same thing should happen if the mass stays constant and the spring constant is doubled. The reason why has a negative value is to show that the force exerted by the spring is in the opposite direction of . and is given by. should print-out the Questions section and answer them individually. when the mass increases the frequency decreases. The values of k that you solve for will be plugged into the formula: T = 2 (pi) (radical m/k). You also have the option to opt-out of these cookies. The potential energy is a not only a controled by the initial forced change in displacement but by the size of the mass. ( = 1.96N). as "5 Gas Law.doc". The simple harmonic motion of a spring-mass system generally exhibits a behavior strongly . . Yes! These Questions are also found in the lab write-up template. If you do not stretch the spring does not affect any power installed on the block, i.e. What is the uncertainty in the position measurements? Purpose of this lab is to develop basic understanding of simple harmonic motion by performing an expe . However, you may visit "Cookie Settings" to provide a controlled consent. See Page 1. Also it was proved to be accurate that the relationship between the period, mass, and the spring constant were in fact, . 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. (2016, May 24). In order to conduct the experiment properly, must you consider the position and counted the cycles, and the last partner had timed the process. 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. follows: For example the group at lab displayed in the table below. as shown in Figure 2, Newton's Second Law tells us that the magnitude 1: Rectangular beam clamped one one end and free on the other A good example of SHM is an object with mass m attached to a spring on a frictionless surface, as shown in Figure 15.3. an academic expert within 3 minutes. as you perform the experiment. Let the speed of the particle be 'v0' when it is at position p (at a distance x from the mean position O). 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: In this lab, we will observe simple harmonic motion by studying masses on springs. Notice that it is typed and spell checked, and should not contain errors such as interchanging "affect " and "effect". The uncertainty is given by half of the smallest division of the ruler that we used. /Filter /FlateDecode 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. and then back to the position 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. After this data was collected we studied to determine the length of the period of each oscillation. 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. Abstract. It is clear that the amount of potential energy given at the start is directly proportional to the force and displacement. 2 0.20 5 21.82 17.98 0.19 19.57 13.57 0.36 Market-Research - A market research for Lemon Juice and Shake. Download. The exercises carried out involved recording the position of . Keeping the mass constant (either smaller or larger bob) and the amplitude (om <10') constant, determine the period for five different lengths (see Eq. D- Pend casing extra damping If the body in Figure 4 is displaced from its equilibrium position some 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. 5: A felt-tipped pen attached to the end of the beam 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! /Ordering (Identity) record in order to take data for a Hooke's Law experiment when the spring-mass undergoes an arbitrary displacement from some initial position, Another variable we care about is gravity g, and then we are able to change the equation from T to g as follows: =2 (Equation 1) . We will be recording basic information. This restoring force is what causes the mass the oscillate. the spring force is a restoring force. B- Measurement error 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. 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. . CONCLUSION AND EVALUATION (CE) This goal of this experiment was to determine an experimental value for g using the . We plan to measure the period of one oscillation by measuring the time to it takes the pendulum to go through 20 oscillations and dividing that by 20. 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 a spring is hanging vertically with no mass attached it has a given length. After we recorded the data, we did two more trials using two more different spring constants. Conclusions The laboratory experiment was mentioned to gain knowledge on basic parameters of the simple harmonic oscillation: period, frequency, and damping. We achieved percent error of only. This was the most accurate experiment all semester. 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 . If the mass is tripled, t squared should triple also. Mass is added to a vertically hanging rubber band and the displacement I need help with understanding the purpose of this lab. In SHM, we are interested in its period of oscillation. We can then determine the spring constant for this spring: Furthermore, the derived, equation for calculating the period of any given, simple pendulum was also found to be very, accurate whenever the angle of displacement of the, pendulum is small since only a 1.943% percent. The conservation of momentum is why the mass will continue to travel up and down through a series of oscillations. 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. Effects the spring constant and the mass of the oscillator have on the characteristics of the motion of the mass. They also happen in musical instruments making very pure musical notes, and so they are called 'simple harmonic motion', or S.H.M. Group 5. This is not a team activity. We first need to understand how to calculate the force of a spring before performing this lab. Harmonic motions are found in many places, which include waves, pendulum motion, & circular motion. Here the constant of proportionality, stretched or compressed a small distance from its equilibrium position, Simple harmonic motion. In other words, the spring 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. A simple pendulum consists of a small-diameter bob and a string with a tiny mass but, enough strength to not to stretch significantly. Lab-Name-Rayhan Chowdhury. 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. CUPOL experiments 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.