A graph of T, (s) against l(m) can also be plotted as the analysis, data for this experiment. The cookie is used to store the user consent for the cookies in the category "Other. Does the best-fit line of your graph fall within the data points' error We adjusted the knots so that the length of the pendulum was \(1.0000\pm0.0005\text{m}\). . Simple Harmonic Motion Lab Report - 545 Words | Studymode The motion of a simple pendulum is one of the phenomena that can be used to approximate the simple harmonic motion. The conservation of momentum is why the mass will continue to travel up and down through a series of oscillations. . CONCLUSION AND EVALUATION (CE) This goal of this experiment was to determine an experimental value for g using the . After this data was collected we studied to determine the length of the period of each oscillation. This way, the pendulum could be dropped from a near-perfect \(90^{\circ}\) rather than a rough estimate. We pulled the mass down and released it to let it oscillate. should print-out the Questions section and answer them individually. Report, Pages 2 (368 words) Views. The naming convention is as The law is named after 17th-century . Why? I need help with understanding the purpose of this lab. The experiment was conducted in a laboratory indoors. 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. 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. These cookies ensure basic functionalities and security features of the website, anonymously. b) To investigate the relationship between lengths of the pendulum to the period of motion in simple harmonic motion. 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. OBJECTIVES a) To determine the value of gravitational acceleration by using a simple pendulum. 2: Spring attached to the free end of the beam this force exists is with a common helical spring acting on a body. of the spring constant. %PDF-1.7 15.1 Simple Harmonic Motion - University Physics Volume 1 - OpenStax We repeat this experiment also 2-3 time, after that we start the calculation and the measurement. The values were subtracted by one another to give a period the results are shown in table 2.1. V Conclusion This experiment for the observation of simple harmonic What is the uncertainty in the position measurements? Retrieved from http://studymoose.com/simple-harmonic-motion-lab-report-essay. 1. . 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. Conclusion: 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 type of motion is characteristic of many physical phenomena. increases), the period decreases which has the effect of increasing the This was done by mapping the max position values of a series of 7 oscillations to their corresponding time value. A Case Study on Simple Harmonic Motion and Its Application 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. What is the conclusion on the experiment of a simple pendulum Consider a particle of mass 'm' exhibiting Simple Harmonic Motion along the path x O x. 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. State the given vector. In this lab we will study three oscillating systems that exhibit nearly ideal simple harmonic motion. Does the value of the oscillation amplitude affect your results? Simple Harmonic Motion Lab Report Free Essay Example - PaperAp.com In this experiment, we measured \(g\) by measuring the period of a pendulum of a known length. 27.8: Sample lab report (Measuring g using a pendulum) "Simple Harmonic Motion Report," Free Essay Examples - WePapers.com, 29-Nov-2020 . We recorded these oscillations with data studio for about 10 seconds. In Objective 1, you may wish to specifically ask the students to . be sure to rename the lab report template file. 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 . obey Hooke's Law? Lab 3: Simple Harmonic motions Spring/Mass Systems Lab Remember. How many data points will you take for this experiment? By clicking Check Writers Offers, you agree to our terms of service and privacy policy. >> This is shown below in Graph 1 below is for all the masses. That is, if the mass is doubled, T squared should double. When a mass is added to the spring it takes the length of . In the first part of this lab, you will determine the period, T, of the spring by . What are the sources of errors in a simple pendulum experiment - Quora Generally speaking, springs with large Here the constant of proportionality, We do NOT offer any paid services - please don't ask! At t = 0, the particle is at point P (moving towards the right . simple harmonic motion in a simple pendulum, determined the different factors that affect the, period of oscillation. To install StudyMoose App tap This correspond to a relative difference of \(22\)% with the accepted value (\(9.8\text{m/s}^{2}\)), and our result is not consistent with the accepted value. Each of the reasons for errors This period is defined as where, . The string is clamped, and when it is displaced, it . 206Conclusion Sample-2004 206ConSam. Conclusion Simple Harmonic Motion Lab Report. static and dynamic situations. Which would be turned back into kinetic energy as the mass moved to the opposite extreme. Accessibility StatementFor more information contact us [email protected] check out our status page at https://status.libretexts.org. 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. Figure 1: This image shows a spring-mass system oscillating through one cycle about a central equilibrium position. 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. Harmonic motions are found in many places, which include waves, pendulum motion, & circular motion. 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. Once such physical system where 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. 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. 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. Damped Harmonic Motion Lab Report - 838 Words | Studymode 4: Chard recorder (a slowly rotation drum with a paper roll moving at constant speed) The results underlines the importance of the precautions which the students are asked to take while performing the pendulum experiment. After the spring constant of 9.0312 N/m was measured, equations were used to determine a calculated frequency, that being . (See. The spring constant is an indication of the spring's stiffness. 2 14.73 5 2.94 14.50 0.20 5 The equation for a pendulum that relates the variables involved is: 2 f =. SOLUTION: Simple Harmonic Motion Lab Report - Studypool 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. Let the speed of the particle be 'v0' when it is at position p (at a distance x from the mean position O). 2). 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. But this only works for small angles, about 5 or so. 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. When the mass travels from the 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 was done by mapping the max position values of a series of 7 oscillations to their corresponding time value. Necessary cookies are absolutely essential for the website to function properly. Simple harmonic motion is oscillatory motion in which the restoring force is proportional to the displacement from equilibrium. 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. body's average velocity. 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. (PDF) LAP REPORT: THE SIMPLE PENDULUM - Academia.edu How will you decrease the uncertainty in the period measurement? 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. Then a spring was hung from the sensor and it was torn to a zero point. Lab report no 2 pemdulum phyisc 212 1. 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. , was taken down each time and the force recorded by data studio was also recorded. This type of motion is also called oscillation, motion. Course Hero is not sponsored or endorsed by any college or university. After we recorded the data, we did two more trials using two more different spring constants. 2 0.20 5 21.82 17.98 0.19 19.57 13.57 0.36 (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. Group 5. Out of these, the cookies that are categorized as necessary are stored on your browser as they are essential for the working of basic functionalities of the website. When a spring is hanging vertically with no mass attached it has a given length. 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. These Science essays have been submitted to us by students in order to help you with your studies. The data correlate close to Hooke's Law, but not quite. Lab. Simple Harmonic Motion of a Pendulum - UKEssays Therefore, if we know the mass of a body at equilibrium, we can determine a) Conceptual/Theoretical Approach: 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. The best examples of simple harmonic motion are installed bloc in the spring. 6: Speed control unit (controls the turning speed of the chart recorder) The values of k that you solve for will be plugged into the formula: T = 2 (pi) (radical m/k). Mass is added to a vertically hanging rubber band and the displacement 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. We thus expect to measure one oscillation with an uncertainty of \(0.025\text{s}\) (about \(1\)% relative uncertainty on the period). and then Add to Home Screen. The period, \(T\), of a pendulum of length \(L\) undergoing simple harmonic motion is given by: \[\begin{aligned} T=2\pi \sqrt {\frac{L}{g}}\end{aligned}\]. 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. Purpose. 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. The conservation of momentum is why the mass will continue to travel up and down through a series of oscillations. 10 0 obj In other words, the spring Hooke's Law and Simple Harmonic Motion - WebAssign This sensor was set to a frequency of. This is consistent with the fact that our measured periods are systematically higher. Simple harmonic motion | IOPSpark Also it was proved to be accurate that the relationship between the period, mass, and the spring constant were in fact, . We will study how a mass moves and what properties of spring give the mass a predictable movement. 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. (2016, May 24). Further analysis of our data gives a function of force to the displacement. What is the uncertainty in your value for. Legal. Hooke's Law and the Simple Harmonic Motion of a Spring Lab. The value of mass, and the the spring constant. 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. 1 0.20 5 20.54 17.57 0.156 19 13.45 0.34 Holes open fully Holes open partially Simple Harmonic Motion - A2 Physics - SlideShare Every spring has a spring constant, this is the amount of resistance that a particular spring exerts to retain its original shape. In this lab, we will observe simple harmonic motion by studying masses on springs. and fill in the relevant information It is also possible to When a spring is hanging vertically with no mass attached it has a given length. The site offers no paid services and is funded entirely by advertising. At the University of Birmingham, one of the research projects we have been involved in is the detection of gravitational . This was calculated using the mean of the values of g from the last column and the corresponding standard deviation. 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. 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). each individual of the group. The Plumbers No fuss, affordable pricing Call us now on 1-800-000-0000 Call us now on 1-800-000-0000 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. body to complete one oscillation is defined as the period, 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. 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. determined? . Simple harmonic motion Definition & Meaning - Merriam-Webster 3 0.20 5 21.30 17.73 0.18 19.05 13.57 0.33 The exercises carried out involved recording the position of . 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. The value of mass, and the the spring constant. This value could be denoted as, . It does not store any personal data. By taking the measurements of the. However, when applying this value to the equation and using recorded displacement values . 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 . Motion Lab Report Introduction Simple harmonic motion is the motion of a mass on a spring when it is subject to the linear elastic restoring force given by Hooker's Law. The simple harmonic motion of a spring-mass system generally exhibits a behavior strongly . All of our essays are donated in exchange for a free plagiarism scan on one of our partner sites. What is the uncertainty in the mass measurements? attach their own copy to the lab report just prior to handing in the lab to your In order to measure simple harmonic motion, there are two traits needed: . 27: Guidelines for lab related activities, Book: Introductory Physics - Building Models to Describe Our World (Martin et al. A toy maker requires a spring mechanism to drive an attached component with a for an individual spring using both Hooke's Law and the 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. 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) . To do this, a spring was set up with a circular object hanging at the end. It was concluded that the mass of the pendulum hardly has any effect on the period of the pendulum but the . (download the rest of the essay above). This cookie is set by GDPR Cookie Consent plugin. Since each lab group will turn in an electronic copy of the lab report, The time required for the In order to conduct the experiment properly, must you consider the position 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. PDF Simple Harmonic Motion - United States Naval Academy means the period will also increase, thereby requiring more time for the . Each lab group should 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. Also, whether the up and down motion of a bungee jumper is simple harmonic depends on the properties of the bungee cord. In this lab, we will observe simple harmonic motion by studying masses on springs. This sensor was set to a frequency of . Lab Report 12, Harmonic Motion, Physics Lab 1 - Google Docs That number will be your delta x. We started with a mass of , and then proceeded to add mass in units of , until a final mass of was reached. oscillation of a mass-spring system. 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. This motion is periodic, meaning the displacement, We expect that we can measure the time for \(20\) oscillations with an uncertainty of \(0.5\text{s}\). SIMPLE HARMONIC MOTION LAB REPORT.pdf - Course Hero The purpose of this lab experiment is to study the behavior of springs in 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. Therefore, Hooke's law describes and applies to the simplest case of oscillation, known as simple harmonic motion. 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