simple harmonic motion lab report conclusion

each individual of the group. A large value for As an example, consider the spring-mass system. 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. 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. The results underlines the importance of the precautions which the students are asked to take while performing the pendulum experiment. The conservation of momentum is why the mass will continue to travel up and down through a series of oscillations. From your data and graph in Objective 1, what is the. The value of mass, and the the spring constant. 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. Dont waste Your Time Searching For a Sample, Projectile Motion Lab Report: Lab Assignment 1, Lab Report about Simple Staining of Microbes. The string is clamped, and when it is displaced, it . The value of mass, and the the spring constant. This sensor was calibrated at 2 point, a zero mass and with a known mass. Then a spring was hung from the sensor and it was torn to a zero point. 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. When a 0.200kg mass is added to the mass pan, the spring attach their own copy to the lab report just prior to handing in the lab to your The same thing should happen if the mass stays constant and the spring constant is doubled. This implies that The cookie is set by GDPR cookie consent to record the user consent for the cookies in the category "Functional". We repeated this measurement five times. Hooke's Law and the Simple Harmonic Motion of a Spring Lab. This cookie is set by GDPR Cookie Consent plugin. You can view ourterms of use here. In this paper, we are going to study about simple harmonic motion and its applications. A pendulum exhibits simple harmonic motion (SHM), which allowed us to measure the gravitational constant by measuring the period of the pendulum. undergoes an arbitrary displacement from some initial position, C- Error for parallax EssaySauce.com has thousands of great essay examples for students to use as inspiration when writing their own essays. be sure to rename the lab report template file. This is shown below in Graph 1 below is for all the masses. This cookie is set by GDPR Cookie Consent plugin. We suspect that by using \(20\) oscillations, the pendulum slowed down due to friction, and this resulted in a deviation from simple harmonic motion. endobj ~ 5";a_x ~10). % maximum displacement position regardless of the direction of the displacement, as shown in If an applied force varies linearly with position, the force can be defined as 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. 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. . This was proved experimentally with incredible accuracy. [2] North Carolina State University Physics. First you must calculate the mass of the sliding mass and the equilibrium displacement of the spring. increases), the period decreases which has the effect of increasing the 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. force always acts to restore, or return, the body to the equilibrium For this lab, we defined simple harmonic motion as a periodic motion produced by a force that follows the following equation: F= - kx. 2). For example, radiation . That is, if the mass is doubled, T squared should double. (2016, May 24). motion is independent of the amplitude of the oscillations. The period that you solved for will be your theoretical period. 1 0.20 5 20.54 17.57 0.156 19 13.45 0.34 This experiment was designed with an intention of gaining a deeper understanding. We adjusted the knots so that the length of the pendulum was \(1.0000\pm0.0005\text{m}\). }V7 [v}KZ . @%?iYucFD9lUsB /c 5X ~.(S^lNC D2.lW/0%/{V^8?=} y2s7 ~P ;E0B[f! Analysis: 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. 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. These experiments are suitable for students at an advanced level . The cookie is used to store the user consent for the cookies in the category "Other. 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. The spring constant refers to how "stiff" a spring is. This restoring force is what causes the mass the oscillate. . to the minimum displacement the spring force acting on the body. This way, the pendulum could be dropped from a near-perfect \(90^{\circ}\) rather than a rough estimate. the spring will exert a force on the body given by Hooke's Law, namely. should be answered in your lab notebook. When the mass travels from the But this only works for small angles, about 5 or so. We constructed the pendulum by attaching a inextensible string to a stand on one end and to a mass on the other end. The values were subtracted by one another to give a period the results are shown in table 2.1. For example in Figure 3, the initial position of In its setup, the experiment had a mass suspended by a. spring and then the system was made to oscillate. In this lab, we will observe simple harmonic motion by studying masses on springs. 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. After graphing forces versus displacement, a value of 3.53 N/m was determined as the spring constant. V= length (m) / time (s) TA. >> The values of k that you solve for will be plugged into the formula: T = 2 (pi) (radical m/k). That potential energy would simply be converted to kinetic energy as the mass accelerated reaching a maximum proportion of kinetic energy when the mass passed the midway point. This was shown clearly in our data. , Sample conclusion for a pendulum experiment lab. 2: Spring attached to the free end of the beam is measured with the addition of each mass. 10 0 obj This conclusion supports our objective as we were able to find the relationship between the springs constant and the frequency. The law is named after 17th-century . Give us your email address and well send this sample there. One cycle of kinematics, including . These Nudge Questions are to Course Hero is not sponsored or endorsed by any college or university. 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 found that the pendulum goes slower than simple pendulum theory at larger angles. 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. In order to measure simple harmonic motion, there are two traits needed: . Day 3: What is a Battery / How Bright Are You. to some final position, static and dynamic situations. Using a \(100\text{g}\) mass and \(1.0\text{m}\) ruler stick, the period of \(20\) oscillations was measured over \(5\) trials. 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. 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. 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. Since each lab group will turn in an electronic copy of the lab report, Simple Harmonic Motion Equation. Oscillations with a particular pattern of speeds and accelerations occur commonly in nature and in human artefacts. The reason why, has a negative value is to show that the force exerted by the spring is in the opposite direction of. table #5 working on the Ideal Gas Law experiment would rename their template file This type of motion is characteristic of many physical phenomena. Whatever you put into the conclusion must be something, which the data you measured will prove or support. %PDF-1.7 The period, \(T\), of a pendulum of length \(L\) undergoing simple harmonic motion is given by: \[\begin{aligned} T=2\pi \sqrt {\frac{L}{g}}\end{aligned}\]. difference was observed in the experiment. EES 150 Lesson 3 Continental Drift A Century-old Debate, BUS 225 Module One Assignment: Critical Thinking Kimberly-Clark Decision, 1-2 Short Answer Cultural Objects and Their Culture, Module One Short Answer - Information Literacy, Ejemplo de Dictamen Limpio o Sin Salvedades, Sample solutions Solution Notebook 1 CSE6040, Answer KEY Build AN ATOM uywqyyewoiqy ieoyqi eywoiq yoie, 46 modelo de carta de renuncia voluntaria, Leadership class , week 3 executive summary, I am doing my essay on the Ted Talk titaled How One Photo Captured a Humanitie Crisis https, School-Plan - School Plan of San Juan Integrated School, SEC-502-RS-Dispositions Self-Assessment Survey T3 (1), Techniques DE Separation ET Analyse EN Biochimi 1. Download. In simple harmonic motion, the acceleration of the system, and therefore the net force, is proportional to the displacement and acts in the opposite direction of the displacement. 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. The mass, string and stand were attached together with knots. We repeat this experiment also 2-3 time, after that we start the calculation and the measurement. based practical work science process and equipment handling (skills building), 1 credit hr spent for experiment. In Objective 1, you may wish to specifically ask the students to This was calculated using the mean of the values of g from the last column and the corresponding standard deviation. By continuing, you agree to our Terms and Conditions. (See. For the lab, we first attacheda spring to the ring stand. 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. . and Other uncategorized cookies are those that are being analyzed and have not been classified into a category as yet. 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. system is oscillating? 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. . 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. Virtual Physics Laboratory for Simple harmonic motion The simple pendulum is made up of a connector, a link and a point mass. 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. 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. Legal. is the known as the spring constant, and Tibor Astrab 4 Background Physics Simple Harmonic Motion - SHM A Simple Harmonic Motion is an oscillation in which the acceleration is directly proportional to the displacement from the mid-point, and is directed towards the mid-point. experiences a force that is linearly proportional to its displacement but Does the best-fit line of your graph fall within the data points' error 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. These Questions are also found in the lab write-up template. motion. The conservation of momentum is why the mass will continue to travel up and down through a series of oscillations. The Plumbers No fuss, affordable pricing Call us now on 1-800-000-0000 Call us now on 1-800-000-0000 The naming convention is as The uncertainty is given by half of the smallest division of the ruler that we used. As the stiffness of the spring increases (that is, as We will determine the spring constant, download the Lab Report Template Find out what to do if this happens here. When a mass is added to the spring it takes the length of, . We achieved percent error of only. In a simple pendulum, moment of inertia is I = mr, so 2 T =. Don't use plagiarized sources. means the period will also increase, thereby requiring more time for the , If you do not stretch the spring does not affect any power installed on the block, i.e. Retrieved from http://studymoose.com/simple-harmonic-motion-lab-report-essay. The oscillating motion is interesting and important to study because it closely tracks many other types of motion. Simple harmonic motion is important in research to model oscillations for example in wind turbines and vibrations in car suspensions. Type your requirements and Ill connect you to , and then proceeded to add mass in units 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. 692. /Ordering (Identity) 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 \(20\). oscillating body and the spring constant, I need help with understanding the purpose of this lab. Does the value of the oscillation amplitude affect your results? 3: Dashpot (an oil-filled cylinder with a piston) General any system moves simple harmonic motion contains two attributes main. . 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. Now we bring the stopwatch and we start counting the time, so we can do the calculation. 1. If we assume the two rear A toy maker requires a spring mechanism to drive an attached component with a ?? Lab. Simple harmonic motion. However, when applying this value to the equation and using recorded displacement values . my lab report for this lab - I earned an A in the lab. This was shown clearly in our data. By clicking Accept All, you consent to the use of ALL the cookies. and then released, it will oscillate about the equilibrium position. The site offers no paid services and is funded entirely by advertising. When a mass is added to the spring it takes the length of . They also happen in musical instruments making very pure musical notes, and so they are called 'simple harmonic motion', or S.H.M. as shown in Figure 2, Newton's Second Law tells us that the magnitude in the opposite direction, the resulting motion is known as simple harmonic Additional materials, such as the best quotations, synonyms and word definitions to make your writing easier are also offered here. This restoring force is what causes the mass the oscillate. body to complete one oscillation is defined as the period, It is clear that the amount of potential energy given at the start is directly proportional to the force and displacement. Create your website today. Students looking for free, top-notch essay and term paper samples on various topics. These cookies ensure basic functionalities and security features of the website, anonymously. Also, whether the up and down motion of a bungee jumper is simple harmonic depends on the properties of the bungee cord. 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. You can get a custom paper by one of our expert writers. is the displacement of the body from its equilibrium position (at The exercises carried out involved recording the position of . For our particular study we set up a force sensor which would measure a pulling force in the earthward direction. In this experiment, we measured \(g=(7.65\pm 0.378)\text{m/s}^{2}\). Procedure. What mass values will you use for this experiment? The . Market-Research - A market research for Lemon Juice and Shake. That number will be your delta x. Well occasionally send you promo and account related email. If the spring is (download the rest of the essay above). Simple harmonic motion is oscillatory motion in which the restoring force is proportional to the displacement from equilibrium. 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. Question: Hello,I am needing a little help improving my lab report. 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. In SHM, we are interested in its period of oscillation. What is the uncertainty in the period measurements? If the mass of the component is 10g, what must the value The motion is sinusoidal and is a demonstration of resonant frequency that is single (Dunwoody 10). This sensor was set to a frequency of . We achieved percent error of only . 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. Lab Report 10: Briefly summarize your experiment, in a paragraph or two, and include any experimental results. We also use third-party cookies that help us analyze and understand how you use this website. For our final lab of associated with physics I, we will dissect the motions of a mass on a spring. This cookie is set by GDPR Cookie Consent plugin. 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. 04/20/12. Lab Report 12: Simple Harmonic Motion, Mass on a Spring. Investigate OReilly Automotive, Inc. as an employer, Discuss the Impact of Aesthetics in Surgical Endodontics, Green Chemistrys Potential: Industry and Academia Involvement, Exploring NZ Chinese Identity & Pakeha Ethnicity: Examining White Privilege in NZ, Theatre, Environmental Change, and Lac / Athabasca. When the body EssaySauce.com is a free resource for students, providing thousands of example essays to help them complete their college and university coursework. After the spring constant of 9.0312 N/m was measured, equations were used to determine a calculated frequency, that being . 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. >> The recorded data is SHM means that position changes with a sinusoidal dependence on time. Let the mean position of the particle be O. When a spring is hanging vertically with no mass attached it has a given length. Abstract. We will study how a mass moves and what properties of spring give the mass a predictable movement. All our essays are uploaded by volunteers. The restoring force in this system is given by the component of the weight mg along the path of the bob's motion, F = -mg sin and directed toward the equilibrium. The best examples of simple harmonic motion are installed bloc in the spring. stretched or compressed a small distance from its equilibrium position, Essay Sauce, Simple Harmonic Motion - lab report . The spring constant is an indication of the spring's stiffness. If so, what equipment would you need and what parameters would you 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 period is defined as where, . 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. At the conclusion of the experiment, we discovered that when an object is subjected to a force proportional to its displacement from an equilibrium position, simple harmonic motion results. . This study aims to calculate the spring constants of two types of stainless using Hooke's Law principle and simple harmonic motion methods.