the body is 0.300m. Start Now. Simple Harmonic Motion Lab Report. This period is defined as where, . Lab report no 2 pemdulum phyisc 212 1. 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. F_s = -kx F s = kx. Which would be turned back into kinetic energy as the mass moved to the opposite extreme. Each of the reasons for errors static and dynamic situations. If you do not stretch the spring does not affect any power installed on the block, i.e. Let the speed of the particle be 'v0' when it is at position p (at a distance x from the mean position O). Every spring has a spring constant, this is the amount of resistance that a particular spring exerts to retain its original shape. The data correlate close to Hooke's Law, but not quite. Mass on a Spring. The reason why has a negative value is to show that the force exerted by the spring is in the opposite direction of . For our final lab of associated with physics I, we will dissect the motions of a mass on a spring. This restoring force is what causes the mass the oscillate. For a small angle ( < 10) the period of a simple pendulum is given by 7-25,-(Eq. 2 14.73 5 2.94 14.50 0.20 5 body to move through one oscillation. This type of motion is characteristic of many physical phenomena. (See. 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. Therefore, if we know the mass of a body at equilibrium, we can determine Equation 1 applies to springs that are initially unstretched. The purpose of this lab experiment is to study the behavior of springs in static and dynamic situations. These Science essays have been submitted to us by students in order to help you with your studies. table #5 working on the Ideal Gas Law experiment would rename their template file These cookies ensure basic functionalities and security features of the website, anonymously. This implies that Write the kinetic, potential and total energy of a baseball having a mass of 0.145kg held 10 meters. In its setup, the experiment had a mass suspended by a. spring and then the system was made to oscillate. . . In order to conduct the experiment properly, must you consider the position The force that causes the motion is always directed toward the equilibrium . Holes open fully Holes open partially , Accessibility StatementFor more information contact us atinfo@libretexts.orgor check out our status page at https://status.libretexts.org. 1: Rectangular beam clamped one one end and free on the other 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. ( 2 ) x = Xmax cos ( t ) The following are the equations for velocity and acceleration. This was shown clearly in our data. What mass values will you use for this experiment? study the effects, if any, that amplitude has on the period of a body We measured \(g = 7.65\pm 0.378\text{m/s}^{2}\). 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. , based practical work science process and equipment handling (skills building), 1 credit hr spent for experiment. 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. analysis and conclusion. These Questions are also found in the lab write-up template. Simple harmonic motion is the motion of a mass on a spring when it is subject to the linear elastic restoring force given by Hookes Law. ~ 5";a_x ~10). The cookie is used to store the user consent for the cookies in the category "Performance". Enter TA password to view sample data and results of this A pendulum is a basic harmonic oscillator for tiny displacements. Report, Pages 2 (368 words) Views. oscillating in a simple harmonic motion (SHM). 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. Views. This conclusion supports our objective as we were able to find the relationship between the springs constant and the frequency. , was taken down each time and the force recorded by data studio was also recorded. 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. Our complete data is shown in Table 1.0 on the next page. If the spring is You can get a custom paper by one of our expert writers. This page of the essay has 833 words. For our particular study we set up a force sensor which would measure a pulling force in the earthward direction. 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) the spring force acting on the body. Conversely, an increase in the body's mass A- Timing the oscillation (start and stop) human reaction time error Consider a particle of mass 'm' exhibiting Simple Harmonic Motion along the path x O x. From your data and graph in Objective 1, what is the. As the stiffness of the spring increases (that is, as A low value for The site offers no paid services and is funded entirely by advertising. motion. 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. All our essays are uploaded by volunteers. Procedure. This was proved experimentally with incredible accuracy. If the mass of the component is 10g, what must the value (download the rest of the essay above). 7: A ruler 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! period of 0.50s. At t = 0, the particle is at point P (moving towards the right . Damped Harmonic Motion Lab Report. 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". By clicking Check Writers Offers, you agree to our terms of service and privacy policy. This was the most accurate experiment all semester. 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. When the mass travels from the Keeping the mass constant (either smaller or larger bob) and the amplitude (om <10') constant, determine the period for five different lengths (see Eq. This has a relative difference of \(22\)% with the accepted value and our measured value is not consistent with the accepted value. All of our essays are donated in exchange for a free plagiarism scan on one of our partner sites. 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. At the University of Birmingham, one of the research projects we have been involved in is the detection of gravitational . Mass is added to a vertically hanging rubber band and the displacement The following data for each trial and corresponding value of \(g\) are shown in the table below. When a mass, After this data was collected we studied to determine the length of the period of each oscillation. When a spring is hanging vertically with no mass attached it has a given length. Lab Report 12: Simple Harmonic Motion, Mass on a Spring. 1. is known as the spring force. is 0.020m. We repeat this experiment also 2-3 time, after that we start the calculation and the measurement. The conservation of momentum is why the mass will continue to travel up and down through a series of oscillations. >> Does the best-fit line of your graph fall within the data points' error It is clear that the amount of potential energy given at the start is directly proportional to the force and displacement. 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 . Calculation and Result: This was shown clearly in our data. Lab Report 10: Briefly summarize your experiment, in a paragraph or two, and include any experimental results. shocks are made from springs, each with a spring constant value of. You can view ourterms of use here. When block away when the subject of stability or the balance spring will exert force to return it back to the original position. Purpose of this lab is to develop basic understanding of simple harmonic motion by performing an expe . When the body Therefore the displacement The length of the arc represents the linear, deviation from equilibrium. 2 0.20 5 21.82 17.98 0.19 19.57 13.57 0.36 Which set of masses will you use for this experiment, the hooked masses << Simple harmonic motion. and We will be recording basic information. The circuit is exquisitely simple - 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. is the body's displacement. Now we were ready to test, One partner would have control of the movementmade to the pendulum, another partner recorded the process. They 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. Finally, from the result and the graph, we found that the value of, Periodic motion is defined as a regular motion that repeats itself in waves. 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. 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. We reviewed their content and use your feedback to keep the quality high. to some final position, determine the minimum mass. To do this, a spring was set up with a circular object hanging at the end. . In Objective 1, you may wish to specifically ask the students to attach their own copy to the lab report just prior to handing in the lab to your (2016, May 24). What oscillation amplitude will you use for this experiment? is always opposite the direction of the displacement. Abstract. After this data was collected we studied to determine the length of the period of each oscillation. 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. 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. Download the full version above. Equation 1: F = kx F = k x. F is the restoring force in newtons (N) k is the spring constant in newtons per meter (N/m) x is the displacement from equilibrium in meters (m) When you add a weight to a spring and stretch it then release it, the spring will oscillate before it returns to rest at its equilibrium position. 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. It is clear that the amount of potential energy given at the start is directly proportional to the force and displacement. this force exists is with a common helical spring acting on a body. 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. associated with this experiment. Fig 4. or the slotted ones? endobj If this experiment could be redone, measuring \(10\) oscillations of the pendulum, rather than \(20\) oscillations, could provide a more precise value of \(g\). It does not store any personal data. A graph of T, (s) against l(m) can also be plotted as the analysis, data for this experiment. 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. If an applied force varies linearly with position, the force can be defined as , and then proceeded to add mass in units of. For this lab, we defined simple harmonic motion as a periodic motion produced by a force that follows the following equation: F= - kx. In this lab we will study three oscillating systems that exhibit nearly ideal simple harmonic motion. 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. Hooke's Law and the Simple Harmonic Motion of a Spring Lab. This was the most accurate experiment all semester. /Filter /FlateDecode . The spring constant is an indication of the spring's stiffness. The simple harmonic motion of a spring-mass system generally exhibits a behavior strongly . However, you may visit "Cookie Settings" to provide a controlled consent. The Plumbers No fuss, affordable pricing Call us now on 1-800-000-0000 Call us now on 1-800-000-0000 Today's lab objective was to conduct two experiments measuring the simple harmonic motions of a spring and a mass. 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It is important to make the additional note that initial energy that is initially given to the spring from the change is position, in the form of potential energy, would be perfecting conserved if friction played no role & the spring was considered perfectly elastic. Conclusion: We thus expect that we should be able to measure \(g\) with a relative uncertainty of the order of \(1\)%. If so, what equipment would you need and what parameters would you (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. 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. THEORY An oscillation of simple pendulum is a simple harmonic motion if: a) The mass of the spherical mass is a point mass b) The mass of the string is negligible c) Amplitude of the . Well occasionally send you promo and account related email. 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. We adjusted the knots so that the length of the pendulum was \(1.0000\pm0.0005\text{m}\). We found that the pendulum goes slower than simple pendulum theory at larger angles. The period for one oscillation, based on our value of \(L\) and the accepted value for \(g\), is expected to be \(T=2.0\text{s}\). Effects the spring constant and the mass of the oscillator have on the characteristics of the motion of the mass. Advertisement cookies are used to provide visitors with relevant ads and marketing campaigns. In order to measure simple harmonic motion, there are two traits needed: . . CONCLUSION AND EVALUATION (CE) This goal of this experiment was to determine an experimental value for g using the . This was proved experimentally with incredible accuracy. Find out what to do if this happens here. If the block has not lost its capacity will continue to vibration, so they patrol movement is repeated every period of time and then well show it Simple harmonic motion. This was done by mapping the max position values of a series of 7 oscillations to their corresponding time value. A pendulum is a simple set up in which a string is attached to a small bob. We constructed the pendulum by attaching a inextensible string to a stand on one end and to a mass on the other end. The naming convention is as body's average velocity. Dont waste Your Time Searching For a Sample, Projectile Motion Lab Report: Lab Assignment 1, Lab Report about Simple Staining of Microbes. To install StudyMoose App tap If we assume the two rear . The next part, you will determine the period, T, of oscillation caused by two springs attached to either side of a sliding mass. 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 . 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. By taking the measurements of the. simple harmonic motion, Repetitive back-and-forth movement through a central, or equilibrium, position in which the maximum displacement on one side is equal to the maximum displacement on the other.Each complete vibration takes the same time, the period; the reciprocal of the period is the frequency of vibration. 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. These cookies track visitors across websites and collect information to provide customized ads. James Allison. This motion is periodic, meaning the displacement, Analytical cookies are used to understand how visitors interact with the website. Necessary cookies are absolutely essential for the website to function properly. We also use third-party cookies that help us analyze and understand how you use this website. values. Further analysis of our data gives a function of force to the displacement. Remember. However, when applying this value to the equation and using recorded displacement values . 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. This value could be denoted as . - 8:30 p.m. April 2016 This problem should be solved using the principles of Energy Conservation. This website uses cookies to improve your experience while you navigate through the website. where /Ordering (Identity) The results underlines the importance of the precautions which the students are asked to take while performing the pendulum experiment. Notice that it is typed and spell checked, and should not contain errors such as interchanging "affect " and "effect". 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. 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. In this first part of this lab, you will have a sliding mass on a frictionless air track attached to two springs on one side, and attached to a hanging mass by a string and pulley on the other. By knowing the velocity in the second part, you can find kinetic energy and potential energy of the oscillating mass. The law is named after 17th-century . 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: For the lab, we first attacheda spring to the ring stand. Day 3: What is a Battery / How Bright Are You. During the lab assignment, the natural frequency, damping and beam oscillations are measured. We also acknowledge previous National Science Foundation support under grant numbers 1246120, 1525057, and 1413739. 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We also found that our measurement of \(g\) had a much larger uncertainty (as determined from the spread in values that we obtained), compared to the \(1\)% relative uncertainty that we predicted. The value of mass, and the the spring constant. 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. Lab. Create your website today. Figures 1a - 1c. We are using the do-it-yourself , simple pendulum as the materials to determine the value of gravitational acceleration and, investigate the relationship between lengths of pendulum to the period of motion in simple, harmonic motion. 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) . 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. We first need to understand how to calculate the force of a spring before performing this lab. Type your requirements and Ill connect you to 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 cookie is set by GDPR Cookie Consent plugin. Market-Research - A market research for Lemon Juice and Shake. 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. force always acts to restore, or return, the body to the equilibrium Simple Harmonic Motion. Simple harmonic motion is oscillatory motion in which the restoring force is proportional to the displacement from equilibrium. for an individual spring using both Hooke's Law and the Use the apparatus and what you know about. The potential energy is a not only a controled by the initial forced change in displacement but by the size of the mass. Apparatus and Experimental Procedure: This way, the pendulum could be dropped from a near-perfect \(90^{\circ}\) rather than a rough estimate. That means that the force, F, is proportional to x, the distance the mass is pulled down from rest. The spring force must balance the weight of the added mass as you perform the experiment. Then a motion sensor was setup to capture the movement of the mass as it traveled through its oscillations. }V7 [v}KZ . @%?iYucFD9lUsB /c 5X ~.(S^lNC D2.lW/0%/{V^8?=} y2s7 ~P ;E0B[f! Then a spring was hung from the sensor and it was torn to a zero point. In Simple harmonic motion, the mean position is a stable equilibrium. each individual of the group. maximum displacement What is the uncertainty in the mass measurements? This cookie is set by GDPR Cookie Consent plugin. where Analysis: Why Lab Procedures and Practice Must Be Communicated in a Lab. << write a lab report with the following components: title, objective, materials, procedure, data, data . , 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. 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. View PDF. The motion of a simple pendulum is one of the phenomena that can be used to approximate the simple harmonic motion. This type of motion is also called oscillation, motion. Aim: 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. We transcribed the measurements from the cell-phone into a Jupyter Notebook. Download Free PDF. EssaySauce.com has thousands of great essay examples for students to use as inspiration when writing their own essays. This is shown below in Graph 1 below is for all the masses. 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. For a spring-mass system, such as a block attached to a spring, the spring force is responsible for the oscillation (see Figure 1). The exercises carried out involved recording the position of . It should be noted that the period of %PDF-1.7 Purpose. We then moved into the second portion of our lab, which was to analyze the path of the mass as it was given an initial charge. Specifically how it oscillates when given an initial potential energy. As an example, consider the spring-mass system. = 0 ). Simple harmonic motion is governed by a restorative force. 3 14.73 5 2.94 14.50 0.20 5 Does the value of the oscillation amplitude affect your results? 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. should print-out the Questions section and answer them individually. . How many data points will you take for this experiment?

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