Simple Harmonic Motion Lab Report. Type your requirements and Ill connect you to In this experiment, we measured \(g\) by measuring the period of a pendulum of a known length. This website uses cookies to improve your experience while you navigate through the website. 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". 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. /Ordering (Identity) is called the force constant. They must be answered by For the lab, we first attacheda spring to the ring stand. 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). 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. Simple Harmonic Motion Page 4 Sampere 0.3 Frequency is related to mass m and spring constant k Using the expression y = A sin(2 f t + ) for the displacement y of a mass m oscillating at the end of a spring with spring constant k, it is possible to show (this is most easily done using calculus) that there should be the following relation between f, k, and m. Simple Harmonic Motion Lab Report Free Essay Example - PaperAp.com Sign in|Recent Site Activity|Report Abuse|Print Page|Powered By Google Sites, Lab 3: Simple Harmonic motions Spring/Mass Systems Lab. We expect that we can measure the time for \(20\) oscillations with an uncertainty of \(0.5\text{s}\). To install StudyMoose App tap Once such physical system where This cookie is set by GDPR Cookie Consent plugin. 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. The purpose of this lab experiment is to study the behavior of springs in static and dynamic situations. of the spring force equals the weight of the body, James Allison. The purpose of this lab experiment is to study the behavior of springs in 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. The motion of a simple pendulum is one of the phenomena that can be used to approximate the simple harmonic motion. and Damped Harmonic Motion Lab Report - 838 Words | Studymode Calculation and Result: Then a spring was hung from the sensor and it was torn to a zero point. 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. From your data and graph in Objective 1, what is the. 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. 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. Abstract. difference was observed in the experiment. 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. attach their own copy to the lab report just prior to handing in the lab to your Holes open fully Holes open partially Simple harmonic motion. 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. If we assume the two rear 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. Does the best-fit line of your graph fall within the data points' error F_s = -kx F s = kx. 15.1 Simple Harmonic Motion - University Physics Volume 1 - OpenStax 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. 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. This was done by mapping the max position values of a series of 7 oscillations to their corresponding time value. The uncertainty is given by half of the smallest division of the ruler that we used. Do that method five times and then solve for the spring constant through the formula: (Delta m) g = k (Delta x). 10 0 obj be answered by your group and checked by your TA as you do the lab. oscillation of a mass-spring system. 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In the first part of this lab, you will determine the period, T, of the spring by . . 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. In its setup, the experiment had a mass suspended by a. spring and then the system was made to oscillate. is the known as the spring constant, and This was the most accurate experiment all semester. Conclusion Simple Harmonic Motion Lab Report I need help with understanding the purpose of this lab. What mass values will you use for this experiment? 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 period for one oscillation, based on our value of \(L\) and the accepted value for \(g\), is expected to be \(T=2.0\text{s}\). Reading Period T(s) Frequency f (Hz) A0 (mm) A1 (mm) Log dec A0 (mm) A1 (mm) Log dec This was the most accurate experiment all semester. This is consistent with the fact that our measured periods are systematically higher. Experiment 2 measures simple harmonic motion using a spring. Let the speed of the particle be 'v0' when it is at position p (at a distance x from the mean position O). where 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. Download Free PDF. 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. stream 27: Guidelines for lab related activities, Book: Introductory Physics - Building Models to Describe Our World (Martin et al. This was proved experimentally with incredible accuracy. Abstract. the spring will exert a force on the body given by Hooke's Law, namely. Essay Sauce, Simple Harmonic Motion - lab report . Mass on a Spring. 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. As the stiffness of the spring increases (that is, as x}xT{y%3yN2 s2'LB$ 9yL $(E\hjo1hVk[qV#2s>^o~Nck X? when the mass increases the frequency decreases. Determination of Springs Constant by Hooke's Law and Simple Harmonic Specifically how it oscillates when given an initial potential energy. 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. EssaySauce.com has thousands of great essay examples for students to use as inspiration when writing their own essays. Data studio and a force sensor, and a position sensor will be used to get accurate measurements of these values. If the mass is tripled, t squared should triple also. properties of an oscillating spring system. 206Conclusion Sample-2004 206ConSam. is the body's displacement. When a mass is added to the spring it takes the length of, . (PDF) LAP REPORT: THE SIMPLE PENDULUM - Academia.edu Spring Constant Lab Report Conclusion Pdf We thus expect to measure one oscillation with an uncertainty of \(0.025\text{s}\) (about \(1\)% relative uncertainty on the period). What is the uncertainty in the period measurements? 04/20/12. Download. experiment (MS Excel format): Enter TA password to view answers to questions from this Lab 3: Simple Harmonic motions Spring/Mass Systems Lab 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. position regardless of the direction of the displacement, as shown in experiences a force that is linearly proportional to its displacement but 12 0 obj 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. 8: A stopwatch In this lab we will study three oscillating systems that exhibit nearly ideal simple harmonic motion. Whilst simple harmonic motion is a simplification, it is still a very good approximation. the we attacheda 0.5kg mass to the spring. The cookie is used to store the user consent for the cookies in the category "Performance". Our complete data is shown in Table 1.0 on the next page. means the spring is soft. and then Add to Home Screen. 15.2: Simple Harmonic Motion - Physics LibreTexts where frequency f the inverse of period T, f = 1 T. Therefore: 2 T = where I = (1/3)mr, so 2 T = . 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. or the slotted ones? Lab report no 2 pemdulum phyisc 212 - SlideShare }V7 [v}KZ . @%?iYucFD9lUsB /c 5X ~.(S^lNC D2.lW/0%/{V^8?=} y2s7 ~P ;E0B[f! EXPERIMENT 5: SIMPLE HARMONIC MOTION || REPORT WRITING - YouTube PDF Guidelines for a Physics Lab Reports - Baylor University After graphing forces versus displacement, a value of 3.53 N/m was determined as the spring constant. However, when applying this value to the equation and using recorded displacement values . should print-out the Questions section and answer them individually. The time required for the , For a spring-mass system, such as a block attached to a spring, the spring force is responsible for the oscillation (see Figure 1). is always opposite the direction of the displacement. experiment (MS Word format): As of now, there are no If the mass of the component is 10g, what must the value Does the value of the oscillation amplitude affect your results? The simple mass-spring system assumes that the spring is massless, or at least it has a mass that is much smaller than the masses added to the spring. Start Now. XLSX kjc.cpu.edu.cn TA. shocks are made from springs, each with a spring constant value of. of the spring constant. View PDF. Notice that it is typed and spell checked, and should not contain errors such as interchanging "affect " and "effect". 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. 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 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. 5: A felt-tipped pen attached to the end of the beam should be answered in your lab notebook. Simple Harmonic Motoion - Lab Report Example - Studentshare Procedure. Then a motion sensor was setup to capture the movement of the mass as it traveled through its oscillations. , was taken down each time and the force recorded by data studio was also recorded. We thus expect that we should be able to measure \(g\) with a relative uncertainty of the order of \(1\)%. EssaySauce.com is a completely free resource for students. What is the uncertainty in your value for. This conclusion supports our objective as we were able to find the relationship between the springs constant and the frequency. static and dynamic situations. These cookies help provide information on metrics the number of visitors, bounce rate, traffic source, etc. , and then proceeded to add mass in units of. system is oscillating? Why Lab Procedures and Practice Must Be Communicated in a Lab. We achieved percent error of only . They Lab-Name-Rayhan Chowdhury. See Page 1. B- Measurement error OBJECTIVES a) To determine the value of gravitational acceleration by using a simple pendulum. The cookie is used to store the user consent for the cookies in the category "Other. 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. When an oscillating mass (as in the case of a mass bouncing on a spring) to the minimum displacement 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. PDF Simple Harmonic Motion - Pendulum Experiment Report The cookie is set by GDPR cookie consent to record the user consent for the cookies in the category "Functional". This sensor was calibrated at 2 point, a zero mass and with a known mass. Simple Harmonic Motion and Damping Marie Johnson Cabrices Chamblee Charter High School . Day 3: What is a Battery / How Bright Are You. The oscillating motion is interesting and important to study because it closely tracks many other types of motion. We use cookies on our website to give you the most relevant experience by remembering your preferences and repeat visits. James Allison, Clint Rowe, & William Cochran. Fig 4. shocks are compressed a distance of 7.0cm. When block away when the subject of stability or the balance spring will exert force to return it back to the original position. Copyright 2023 StudeerSnel B.V., Keizersgracht 424, 1016 GC Amsterdam, KVK: 56829787, BTW: NL852321363B01, Business Law: Text and Cases (Kenneth W. Clarkson; Roger LeRoy Miller; Frank B. This was calculated using the mean of the values of g from the last column and the corresponding standard deviation. Hooke's Law and the Simple Harmonic Motion of a Spring Lab. Notice the period is dependent only upon the mass of the This experiment was designed with an intention of gaining a deeper understanding. For our particular study we set up a force sensor which would measure a pulling force in the earthward direction. each individual of the group. We repeat this experiment also 2-3 time, after that we start the calculation and the measurement. 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 the spring constant of 9.0312 N/m was measured, equations were used to determine a calculated frequency, that being . F=1/T . Apparatus and Experimental Procedure: maximum distance, 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. But this only works for small angles, about 5 or so. 6: Speed control unit (controls the turning speed of the chart recorder) We will determine the spring constant, 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 . All of our essays are donated in exchange for a free plagiarism scan on one of our partner sites. We suspect that by using \(20\) oscillations, the pendulum slowed down due to friction, and this resulted in a deviation from simple harmonic motion. 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. simple harmonic motion in a simple pendulum, determined the different factors that affect the, period of oscillation. This has a relative difference of \(22\)% with the accepted value and our measured value is not consistent with the accepted value. Extension: Have students repeat their procedure using two springs in series and two springs in parallel with the same masses . Hooke's Law and Simple Harmonic Motion Lab Report - StuDocu The site offers no paid services and is funded entirely by advertising. 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. Simple Harmonic Motion. Therefore the displacement Lab Report 12, Harmonic Motion, Physics Lab 1 - Google Docs General any system moves simple harmonic motion contains two attributes main. 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! force always acts to restore, or return, the body to the equilibrium Each of the reasons for errors We also acknowledge previous National Science Foundation support under grant numbers 1246120, 1525057, and 1413739. What is the uncertainty in the mass measurements? FOR STUDENTS : ALL THE INGREDIENTS OF A GOOD ESSAY. Question: Hello,I am needing a little help improving my lab report. Simple Harmonic Motion. study the effects, if any, that amplitude has on the period of a body What is the uncertainty in the position measurements? In a simple pendulum, moment of inertia is I = mr, so 2 T =. The baseball is released. follows: For example the group at lab That number will be your delta x. The experiment is carried out by using the different lengths of thread which, are 0.2m, 0.4m, 0.6m and 0.8m. I). a) Conceptual/Theoretical Approach: 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. As an example, consider the spring-mass system. motion is independent of the amplitude of the oscillations. Using a \(100\text{g}\) mass and \(1.0\text{m}\) ruler stick, the period of \(20\) oscillations was measured over \(5\) trials. We can then determine the spring constant for this spring: = 0 ). 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 . The spring force must balance the weight of the added mass 4: Chard recorder (a slowly rotation drum with a paper roll moving at constant speed) 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. 2 0.20 5 21.82 17.98 0.19 19.57 13.57 0.36 Accessibility StatementFor more information contact us atinfo@libretexts.orgor check out our status page at https://status.libretexts.org. 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. . A low value for Purpose. This restoring force is what causes the mass the oscillate. 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. Equation 1 applies to springs that are initially unstretched. Conclusion Simple Harmonic Motion Lab Report. 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. or the change in the position; or both? Lab 1 Summary - Covers the "Data Analysis" lab ; Lab 2 Summary - Covers the "Free Fall-Measure of "g" lab; Lab 9 Summary - Covers the "Mechanical Waves" lab; PH-101 lab #9 - Lab report; Lab Report - Simple Pendulum We achieved percent error of only. In other words, the spring of simple harmonic motion and to verify the theoretical prediction for the period of. . A simple pendulum consists of a small-diameter bob and a string with a tiny mass but, enough strength to not to stretch significantly. . where 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.
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