simple harmonic motion lab report conclusion

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. We can then determine the spring constant for this spring: We found that the pendulum goes slower than simple pendulum theory at larger angles. values can balance larger forces than springs with low This cookie is set by GDPR Cookie Consent plugin. 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. stream 2 14.73 5 2.94 14.50 0.20 5 The simple harmonic motion of a spring-mass system generally exhibits a behavior strongly . Views. This motion is periodic, meaning the displacement, This cookie is set by GDPR Cookie Consent plugin. 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: Under the influence of gravity on Earth, it, Write name and date. download the Lab Report Template Let the mean position of the particle be O. We suspect that by using $20$ oscillations, the pendulum slowed down due to friction, and this resulted in a deviation from simple harmonic motion. Lab-Name-Rayhan Chowdhury. when the mass increases the frequency decreases. Investigate the length dependence of the period of a pendulum. 27: Guidelines for lab related activities, Book: Introductory Physics - Building Models to Describe Our World (Martin et al. ~ 5";a_x ~10). We started with a mass of , and then proceeded to add mass in units of , until a final mass of was reached. A pendulum is a basic harmonic oscillator for tiny displacements. The spring constant is an indication of the spring's stiffness. In order to measure simple harmonic motion, there are two traits needed: . Consider a particle of mass 'm' exhibiting Simple Harmonic Motion along the path x O x. and 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. 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. Amazing as always, gave her a week to finish a big assignment and came through way ahead of time. The corresponding value of $g$ for each of these trials was calculated. Let the speed of the particle be 'v0' when it is at position p (at a distance x from the mean position O). determined? 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. If the mass is tripled, t squared should triple also. Then a spring was hung from the sensor and it was torn to a zero point. EssaySauce.com is a completely free resource for students. All our essays are uploaded by volunteers. % Specifically how it oscillates when given an initial potential energy. Question: Hello,I am needing a little help improving my lab report. a) Conceptual/Theoretical Approach: By knowing the velocity in the second part, you can find kinetic energy and potential energy of the oscillating mass. Enter TA password to view sample data and results of this Simple Harmonic Motion Lab Report. F=1/T Experiment 2 measures simple harmonic motion using a spring. A pendulum exhibits simple harmonic motion (SHM), which allowed us to measure the gravitational constant by measuring the period of the pendulum. If the body in Figure 4 is displaced from its equilibrium position some We recorded these oscillations with data studio for about 10 seconds. << When an oscillating mass (as in the case of a mass bouncing on a spring) - 8:30 p.m. April 2016 }V7 [v}KZ . @%?iYucFD9lUsB /c 5X ~.(S^lNC D2.lW/0%/{V^8?=} y2s7 ~P ;E0B[f! The Plumbers No fuss, affordable pricing Call us now on 1-800-000-0000 Call us now on 1-800-000-0000 The brightest students know that the best way to learn is by example! Our complete data is shown in Table 1.0 on the next page. 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. 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. Essay Sauce, Simple Harmonic Motion - lab report . 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. The value of mass, and the the spring constant. In this experiment, we measured $g=(7.65\pm 0.378)\text{m/s}^{2}$. The spring constant refers to how "stiff" a spring is. 1 0.20 5 20.54 17.57 0.156 19 13.45 0.34 Keeping the mass constant (either smaller or larger bob) and the amplitude (om <10') constant, determine the period for five different lengths (see Eq. The same thing should happen if the mass stays constant and the spring constant is doubled. 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. Type your requirements and Ill connect you to Whilst simple harmonic motion is a simplification, it is still a very good approximation. If you do not stretch the spring does not affect any power installed on the block, i.e. Day 3: What is a Battery / How Bright Are You. 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. The results underlines the importance of the precautions which the students are asked to take while performing the pendulum experiment. 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. We adjusted the knots so that the length of the pendulum was $1.0000\pm0.0005\text{m}$. This conclusion meets our objective to find the relationship between Mass and F in a spring. These cookies track visitors across websites and collect information to provide customized ads. This involved studying the movement of the mass while examining the spring properties during the motion. , After graphing forces versus displacement, a value of 3.53 N/m was determined as the spring constant. The experiment is carried out by using the different lengths of thread which, are 0.2m, 0.4m, 0.6m and 0.8m. this force exists is with a common helical spring acting on a body. The baseball is released. When the mass travels from the How will you decrease the uncertainty in the period measurement? By taking the measurements of the. This has a relative difference of $22$% with the accepted value and our measured value is not consistent with the accepted value. This way, the pendulum could be dropped from a near-perfect $90^{\circ}$ rather than a rough estimate. displayed in the table below. This basically means that the further away an oscillating object is from its mid-point, the more acceleration . They must be answered by What is the uncertainty in your value for. oscillation of a mass-spring system. In this experiment, we measured $g$ by measuring the period of a pendulum of a known length. Each of the reasons for errors Available from: [Accessed 04-03-23]. TA. In this lab we will study three oscillating systems that exhibit nearly ideal simple harmonic motion. this equation can be written as. 3: Dashpot (an oil-filled cylinder with a piston) 3 14.73 5 2.94 14.50 0.20 5 This problem should be solved using the principles of Energy Conservation. 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. We will determine the spring constant, EssaySauce.com is a free resource for students, providing thousands of example essays to help them complete their college and university coursework. Whatever you put into the conclusion must be something, which the data you measured will prove or support. In this lab, we will observe simple harmonic motion by studying masses on springs. This study aims to calculate the spring constants of two types of stainless using Hooke's Law principle and simple harmonic motion methods. In other words, the spring But this only works for small angles, about 5 or so. Abstract. analysis and conclusion. The time it takes for a mass to go through an entire oscillation is what is known as a period, a the period of a mass on a spring is dependent of two variables. 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. c"p. It should be noted that the period of Additional materials, such as the best quotations, synonyms and word definitions to make your writing easier are also offered here. We transcribed the measurements from the cell-phone into a Jupyter Notebook. The cookie is set by GDPR cookie consent to record the user consent for the cookies in the category "Functional". In this lab we want to illustrate simple harmonic motion by studying the motion of a mass on a spring. 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. website builder. of simple harmonic motion and to verify the theoretical prediction for the period of. It does not store any personal data. each individual of the group. Effects the spring constant and the mass of the oscillator have on the characteristics of the motion of the mass. For example in Figure 3, the initial position of means the period will also increase, thereby requiring more time for the If an applied force varies linearly with position, the force can be defined as However, you may visit "Cookie Settings" to provide a controlled consent. The values of k that you solve for will be plugged into the formula: T = 2 (pi) (radical m/k). At the University of Birmingham, one of the research projects we have been involved in is the detection of gravitational . Once that was done, we measured an amplitudeof 3cm from the starting point using a ruler. . 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 potential energy is a not only a controled by the initial forced change in displacement but by the size of the mass. body's average velocity. By clicking Check Writers Offers, you agree to our terms of service and privacy policy. 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. indicates that the spring is stiff. Simple Harmonic Motion Lab Report Conclusion Eagle Specialty Products Inc. For example, radiation . bars? Lab Report 12: Simple Harmonic Motion, Mass on a Spring. Create your website today. First you must calculate the mass of the sliding mass and the equilibrium displacement of the spring. 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. body to complete one oscillation is defined as the period, In SHM, we are interested in its period of oscillation. This experiment was designed with an intention of gaining a deeper understanding. Students can use our free essays as examples to help them when writing their own work. 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) Dont waste Your Time Searching For a Sample, Projectile Motion Lab Report: Lab Assignment 1, Lab Report about Simple Staining of Microbes. From your data and graph, what is the minimum mass. However, when applying this value to the equation and using recorded displacement values . for an individual spring using both Hooke's Law and the When a 0.200kg mass is added to the mass pan, the spring For the lab, we first attacheda spring to the ring stand. 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. table #5 working on the Ideal Gas Law experiment would rename their template file based practical work science process and equipment handling (skills building), 1 credit hr spent for experiment. Accessibility StatementFor more information contact us atinfo@libretexts.orgor check out our status page at https://status.libretexts.org. If this experiment could be redone, measuring $10$ oscillations of the pendulum, rather than $20$ oscillations, could provide a more precise value of $g$. 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. What was the goal of the simple pendulum experiment? You can view ourterms of use here. We pulled the mass down and released it to let it oscillate. We repeat this experiment 2-3 time after that we stop recording and start to calculate the result. A pendulum exhibits simple harmonic motion (SHM), which allowed us to measure the gravitational constant by measuring the period of the pendulum. The spring force must balance the weight of the added mass My partners and I do believe though that we should've done more than three trials in order to get more precise and accurate data. Report, Pages 2 (368 words) Views. During the lab assignment, the natural frequency, damping and beam oscillations are measured. As an example, consider the spring-mass system. Find out what to do if this happens here. increases), the period decreases which has the effect of increasing the Each lab group should The naming convention is as During this experiment, the effects that the size of an object had on air resistance were observed and determined. Download. In the first part of this lab, you will determine the period, T, of the spring by . 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 we recorded the data, we did two more trials using two more different spring constants. Convert the magnitude to weight, The customer uses their computer to go the Find Your Food website and enters their postcode. 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. , When a spring is hanging vertically with no mass attached it has a given length. 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. 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. 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. We expect that we can measure the time for $20$ oscillations with an uncertainty of $0.5\text{s}$. 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This was proved experimentally with incredible accuracy. The cookies is used to store the user consent for the cookies in the category "Necessary". and is given by. 1. The period for one oscillation, based on our value of $L$ and the accepted value for $g$, is expected to be $T=2.0\text{s}$. Using a $100\text{g}$ mass and $1.0\text{m}$ ruler stick, the period of $20$ oscillations was measured over $5$ trials. Lab Report 10: Briefly summarize your experiment, in a paragraph or two, and include any experimental results. Don't use plagiarized sources. The exercises carried out involved recording the position of . Procedure. 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. 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. These experiments are suitable for students at an advanced level . This was the most accurate experiment all semester. 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. is always opposite the direction of the 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. This restoring force is what causes the mass the oscillate. The string is clamped, and when it is displaced, it . Each person in the group 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. >> 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. 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. OBJECTIVES a) To determine the value of gravitational acceleration by using a simple pendulum. Since each lab group will turn in an electronic copy of the lab report, be answered by your group and checked by your TA as you do the lab. A graph of T, (s) against l(m) can also be plotted as the analysis, data for this experiment. 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. That is, if the mass is doubled, T squared should double. 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. 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. >> Group 5. . These cookies ensure basic functionalities and security features of the website, anonymously. . . "Simple Harmonic Motion Report," Free Essay Examples - WePapers.com, 29-Nov-2020 . No- 3. Market-Research - A market research for Lemon Juice and Shake. be sure to rename the lab report template file. Start Now. When a mass, 2: Spring attached to the free end of the beam 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. We use cookies on our website to give you the most relevant experience by remembering your preferences and repeat visits. I). Apparatus and Experimental Procedure: Once such physical system where is called the force constant. From your data and graph in Objective 1, what is the. Repeat that procedure for three more times and at each trial, add 20 more grams to the mass. The body , and then proceeded to add mass in units of. It is also possible to 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. Simple harmonic motion. We will be recording basic information. interesting expression for its period by looking into it a little more. James Allison. In the first part of this lab, you will determine the period, T, of the spring by . 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Also it was proved to be accurate that the relationship between the period, mass, and the spring constant were in fact, . body to move through one oscillation. 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. What oscillation amplitude will you use for this experiment? Does the best-fit line of your graph fall within the data points' error If so, what equipment would you need and what parameters would you Each person should Download the full version above. 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. ;E8xhF$D0{^eQMWr.HtAL8 What mass values will you use for this experiment? Our final measured value of $g$ is $(7.65\pm 0.378)\text{m/s}^{2}$. The law is named after 17th-century . V= length (m) / time (s) When a box of unknown mass is placed into the trunk of a car, both rear ?? Figure 5.38 (a) The plastic ruler has been released, and the restoring force is returning the ruler to its equilibrium position. period of 0.50s. We first need to understand how to calculate the force of a spring before performing this lab. 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. where Why? This was done by mapping the max position values of a series of 7 oscillations to their corresponding time value. 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 . write a lab report with the following components: title, objective, materials, procedure, data, data . %PDF-1.7 The formula for this motion's governing law, known as Hooke's Law, is F = - kx, where F is the restoring force and the negative sign denotes the direction . position regardless of the direction of the displacement, as shown in Which would be turned back into kinetic energy as the mass moved to the opposite extreme. Abstract. is the body's displacement. 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. 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. This value could be denoted as, . velocity and acceleration all vary sinusoidally. What is the uncertainty in the position measurements? Further analysis of our data gives a function of force to the displacement. and then released, it will oscillate about the equilibrium position. 2 0.20 5 21.82 17.98 0.19 19.57 13.57 0.36 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! (2016, May 24). for 14-16. 4: Chard recorder (a slowly rotation drum with a paper roll moving at constant speed) = 0 ). F_s = -kx F s = kx. 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. For our final lab of associated with physics I, we will dissect the motions of a mass on a spring. Aim: Dont know where to start? After this data was collected we studied to determine the length of the period of each oscillation. the spring will exert a force on the body given by Hooke's Law, namely.