simple harmonic motion lab report conclusion

system is oscillating? }V7 [v}KZ . @%?iYucFD9lUsB /c 5X ~.(S^lNC D2.lW/0%/{V^8?=} y2s7 ~P ;E0B[f! Start Now. Introduction F=1/T We use cookies on our website to give you the most relevant experience by remembering your preferences and repeat visits. 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. By continuing, you agree to our Terms and Conditions. The motion of a simple pendulum is one of the phenomena that can be used to approximate the simple harmonic motion. Reading Period T(s) Frequency f (Hz) A0 (mm) A1 (mm) Log dec A0 (mm) A1 (mm) Log dec Consider a particle of mass 'm' exhibiting Simple Harmonic Motion along the path x O x. The recorded data is These Nudge Questions are to The spring constant refers to how "stiff" a spring is. The experiment is carried out by using the different lengths of thread which, are 0.2m, 0.4m, 0.6m and 0.8m. the system is balanced and stable. Advertisement cookies are used to provide visitors with relevant ads and marketing campaigns. The cookie is used to store the user consent for the cookies in the category "Performance". We will study how a mass moves and what properties of spring give the mass a predictable movement. For our particular study we set up a force sensor which would measure a pulling force in the earthward direction. : an American History (Eric Foner). What quantities will you plot in order to determine. 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. 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: motion. section 20362. is the body's displacement. %PDF-1.7 or the slotted ones? Therefore, if we know the mass of a body at equilibrium, we can determine this force exists is with a common helical spring acting on a body. EssaySauce.com has thousands of great essay examples for students to use as inspiration when writing their own essays. Repeat that procedure for three more times and at each trial, add 20 more grams to the mass. James Allison. This implies that We expect that we can measure the time for $20$ oscillations with an uncertainty of $0.5\text{s}$. 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". 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. 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 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. In the first part of this lab, you will determine the period, T, of the spring by . . Conclusions The laboratory experiment was mentioned to gain knowledge on basic parameters of the simple harmonic oscillation: period, frequency, and damping. determine the minimum mass. experiment (MS Word format): Enter TA password to view the Lab Manual write up for this This motion is periodic, meaning the displacement, properties of an oscillating spring system. , The experiment was conducted in a laboratory indoors. Figures 1a - 1c. 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. This restoring force is what causes the mass the oscillate. >> When a mass is added to the spring it takes the length of, . For a spring-mass system, such as a block attached to a spring, the spring force is responsible for the oscillation (see Figure 1). Holes open fully Holes open partially The string is clamped, and when it is displaced, it . undergoes an arbitrary displacement from some initial position, , was taken down each time and the force recorded by data studio was also recorded. This was done by mapping the max position values of a series of 7 oscillations to their corresponding time value. This restoring force is what causes the mass the oscillate. This was calculated using the mean of the values of g from the last column and the corresponding standard deviation. attach their own copy to the lab report just prior to handing in the lab to your Figure 5.38 (a) The plastic ruler has been released, and the restoring force is returning the ruler to its equilibrium position. In Simple harmonic motion, the mean position is a stable equilibrium. Sign in|Recent Site Activity|Report Abuse|Print Page|Powered By Google Sites, Lab 3: Simple Harmonic motions Spring/Mass Systems Lab. This involved studying the movement of the mass while examining the spring properties during the motion. We transcribed the measurements from the cell-phone into a Jupyter Notebook. In SHM, we are interested in its period of oscillation. 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. 1 15 5 3 14.50 0.20 5 The next part, you will determine the period, T, of oscillation caused by two springs attached to either side of a sliding mass. As an example, consider the spring-mass system. oscillating in a simple harmonic motion (SHM). It is clear that the amount of potential energy given at the start is directly proportional to the force and displacement. Yes! For example in Figure 3, the initial position of We started with a mass of , and then proceeded to add mass in units of , until a final mass of was reached. analysis and conclusion. If the mass of the component is 10g, what must the value 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. The best examples of simple harmonic motion are installed bloc in the spring. That number will be your delta x. Each of the reasons for errors C- Error for parallax 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. 692. . 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. be answered by your group and checked by your TA as you do the lab. Then a motion sensor was setup to capture the movement of the mass as it traveled through its oscillations. We recorded these oscillations with data studio for about 10 seconds. 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 . Simple harmonic motion. values can balance larger forces than springs with low If so, what equipment would you need and what parameters would you Simple Harmonic Motion and Damping Marie Johnson Cabrices Chamblee Charter High School . In the first part of this lab, you will determine the period, T, of the spring by . static and dynamic situations. What is the uncertainty in your value for. , ( = 1.96N). 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. The mass, string and stand were attached together with knots. Don't use plagiarized sources. B- Measurement error 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) . 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 . It should be noted that the period of 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. A large value for 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. Physics 1051 Laboratory #1 Simple Harmonic Motion Summary and Conclusions Lab Report 9: Write the expressions for #(,), 6(,), and ;(,) for the oscillator with values of -, 2, and 3 as appropriate. 206Conclusion Sample-2004 206ConSam. Abstract. . 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. This study aims to calculate the spring constants of two types of stainless using Hooke's Law principle and simple harmonic motion methods. difference was observed in the experiment. in the opposite direction, the resulting motion is known as simple harmonic 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. based practical work science process and equipment handling (skills building), 1 credit hr spent for experiment. obey Hooke's Law? Additional materials, such as the best quotations, synonyms and word definitions to make your writing easier are also offered here. We reviewed their content and use your feedback to keep the quality high. Create your website today. the spring force is a restoring force. stretched or compressed a small distance from its equilibrium position, body's average velocity. Simple Harmonic Motion Equation. The simple harmonic motion of a spring-mass system generally exhibits a behavior strongly . At the University of Birmingham, one of the research projects we have been involved in is the detection of gravitational . The . . 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 $20$. 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. We achieved percent error of only . The cookie is set by GDPR cookie consent to record the user consent for the cookies in the category "Functional". 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. They also happen in musical instruments making very pure musical notes, and so they are called 'simple harmonic motion', or S.H.M. They increases), the period decreases which has the effect of increasing the * This essay may have been previously published on Essay.uk.com at an earlier date. and then released, it will oscillate about the equilibrium position. record in order to take data for a Hooke's Law experiment when the spring-mass This website uses cookies to improve your experience while you navigate through the website. experiment (MS Word format): As of now, there are no Simple Harmonic Motion Lab Report. for 14-16. This type of motion is characteristic of many physical phenomena. This is shown below in Graph 1 below is for all the masses. The cookie is used to store the user consent for the cookies in the category "Other. 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. But this only works for small angles, about 5 or so. By knowing the velocity in the second part, you can find kinetic energy and potential energy of the oscillating mass. These cookies help provide information on metrics the number of visitors, bounce rate, traffic source, etc. Do that method five times and then solve for the spring constant through the formula: (Delta m) g = k (Delta x). . 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. At t = 0, the particle is at point P (moving towards the right . 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. ( 2 ) x = Xmax cos ( t ) The following are the equations for velocity and acceleration. /Registry (Adobe) 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. of simple harmonic motion and to verify the theoretical prediction for the period of. If an applied force varies linearly with position, the force can be defined as You can get a custom paper by one of our expert writers. 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. 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. Based on this data, does a rubber band 7: A ruler For a small angle ( < 10) the period of a simple pendulum is given by 7-25,-(Eq. Therefore, Hooke's law describes and applies to the simplest case of oscillation, known as simple harmonic motion. ;E8xhF$D0{^eQMWr.HtAL8 and Course Hero is not sponsored or endorsed by any college or university. This page titled 27.8: Sample lab report (Measuring g using a pendulum) is shared under a CC BY-SA license and was authored, remixed, and/or curated by Howard Martin revised by Alan Ng. Find out what to do if this happens here. 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. - 8:30 p.m. April 2016 determined? ~ 5";a_x ~10). 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). . Explain why or why not? 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. Our complete data is shown in Table 1.0 on the next page. is measured with the addition of each mass. Damped Harmonic Motion Lab Report. By clicking Accept All, you consent to the use of ALL the cookies. Lab-Name-Rayhan Chowdhury. Use the apparatus and what you know about. 5: A felt-tipped pen attached to the end of the beam Every spring has a spring constant, this is the amount of resistance that a particular spring exerts to retain its original shape. each individual of the group. Remember. Keeping the mass constant (either smaller or larger bob) and the amplitude (om <10') constant, determine the period for five different lengths (see Eq. V= 45.10 / 3.11 = 14.5 Here the constant of proportionality, Experiment 2 measures simple harmonic motion using a spring. In this lab, we will observe simple harmonic motion by studying masses on springs. we say that the mass has moved through one cycle, or oscillation. 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. motion is independent of the amplitude of the oscillations. /Ordering (Identity) For the lab, we first attacheda spring to the ring stand. This sensor was calibrated at 2 point, a zero mass and with a known mass. State the given vector. Amazing as always, gave her a week to finish a big assignment and came through way ahead of time. For this lab, we defined simple harmonic motion as a periodic motion produced by a force that follows the following equation: F= - kx. 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. These Science essays have been submitted to us by students in order to help you with your studies. 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! Question: Hello,I am needing a little help improving my lab report. This type of motion is also called oscillation, motion. 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 . You also have the option to opt-out of these cookies. the spring force acting on the body. Oscillations with a particular pattern of speeds and accelerations occur commonly in nature and in human artefacts. The value of mass, and the the spring constant. Therefore the displacement We can then determine the spring constant for this spring: It does not store any personal data. 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. is the displacement of the body from its equilibrium position (at What is the uncertainty in the period measurements? Lab Report 12: Simple Harmonic Motion, Mass on a Spring. What mass values will you use for this experiment? The cookies is used to store the user consent for the cookies in the category "Necessary". The law states that F = -ky, where F is in this case Mg and y equals the negative displacement. Why Lab Procedures and Practice Must Be Communicated in a Lab. These cookies ensure basic functionalities and security features of the website, anonymously. In order to measure simple harmonic motion, there are two traits needed: . 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. Thus, by measuring the period of a pendulum as well as its length, we can determine the value of $g$: \[\begin{aligned} g=\frac{4\pi^{2}L}{T^{2}}\end{aligned}\] We assumed that the frequency and period of the pendulum depend on the length of the pendulum string, rather than the angle from which it was dropped. It is also possible to A toy maker requires a spring mechanism to drive an attached component with a Our complete data is shown in Table 1.0 on the next page. I). A pendulum exhibits simple harmonic motion (SHM), which allowed us to measure the gravitational constant by measuring the period of the pendulum. When an oscillating mass (as in the case of a mass bouncing on a spring) I need help with understanding the purpose of this lab. 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. In the first part of this lab, you will determine the period, T, of the . Lab. study the effects, if any, that amplitude has on the period of a body CUPOL experiments Also it was proved to be accurate that the relationship between the period, mass, and the spring constant were in fact . 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. 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. Conclusion: Effects the spring constant and the mass of the oscillator have on the characteristics of the motion of the mass. 9: Small weights Keeping the paper taut The time required for the Each person should 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. % of the spring force equals the weight of the body, 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. 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. Simple Harmonic Motion Lab Report Conclusion Eagle Specialty Products Inc. Simple harmonic motion is governed by a restorative force. In physics, Hooke's law is an empirical law which states that the force (F) needed to extend or compress a spring by some distance (x) scales linearly with respect to that distancethat is, F s = kx, where k is a constant factor characteristic of the spring (i.e., its stiffness), and x is small compared to the total possible deformation of the spring. is the known as the spring constant, and Available from: [Accessed 04-03-23]. The uncertainty is given by half of the smallest division of the ruler that we used. Once such physical system where Group 5. The brightest students know that the best way to learn is by example! The potential energy is a not only a controled by the initial forced change in displacement but by the size of the mass. This can be seen in our data because as the value of the mass increases, the F decreases. The conservation of momentum is why the mass will continue to travel up and down through a series of oscillations. 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. James Allison, Clint Rowe, & William Cochran. . 2 14.73 5 2.94 14.50 0.20 5 This page of the essay has 833 words. EssaySauce.com is a free resource for students, providing thousands of example essays to help them complete their college and university coursework. Apparatus and Experimental Procedure: The Plumbers No fuss, affordable pricing Call us now on 1-800-000-0000 Call us now on 1-800-000-0000 Each lab group should However, when applying this value to the equation and using recorded displacement values . Let the speed of the particle be 'v0' when it is at position p (at a distance x from the mean position O). and is given by. Download the full version above. This value could be denoted as . Let the mean position of the particle be O. maximum displacement 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. 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. << But opting out of some of these cookies may affect your browsing experience. We measured $g = 7.65\pm 0.378\text{m/s}^{2}$. 04/20/12. Our final measured value of $g$ is $(7.65\pm 0.378)\text{m/s}^{2}$. Figure 1: This image shows a spring-mass system oscillating through one cycle about a central equilibrium position. The purpose of this lab experiment is to study the behavior of springs in ?? Notice that it is typed and spell checked, and should not contain errors such as interchanging "affect " and "effect". an academic expert within 3 minutes. Notice the period is dependent only upon the mass of the The values of k that you solve for will be plugged into the formula: T = 2 (pi) (radical m/k). Download. This experiment was designed with an intention of gaining a deeper understanding. 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