Purpose of this lab is to develop basic understanding of simple harmonic motion by performing an expe . Also, you must find the uncertainty in the period, kinetic energy, and potential energy. 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. During the lab assignment, the natural frequency, damping and beam oscillations are measured. Damped Harmonic Motion Lab Report - 838 Words | Studymode Sign in|Recent Site Activity|Report Abuse|Print Page|Powered By Google Sites, Lab 3: Simple Harmonic motions Spring/Mass Systems Lab. That means that the force, F, is proportional to x, the distance the mass is pulled down from rest. We achieved percent error of only. Based on this data, does a rubber band oscillating body and the spring constant, 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 cookie is used to store the user consent for the cookies in the category "Other. Average 0.20 5 21.20 17.76 0.173 19.19 13.53 0.34 Legal. Then a spring was hung from the sensor and it was torn to a zero point. The brightest students know that the best way to learn is by example! The values of k that you solve for will be plugged into the formula: T = 2 (pi) (radical m/k). PDF Simple Harmonic Motion - austincc.edu . is called the force constant. the spring force is a restoring force. These Questions are also found in the lab write-up template. 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! Which set of masses will you use for this experiment, the hooked masses , and then proceeded to add mass in units of. Simple Harmonic Motion in a Spring-Mass System | Science Project [2] North Carolina State University Physics. Dont know where to start? This page of the essay has 833 words. 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 . This was shown clearly in our data. position regardless of the direction of the displacement, as shown in The negative sign in Equation 1 indicates that the direction of 10 0 obj Purpose. Write the kinetic, potential and total energy of a baseball having a mass of 0.145kg held 10 meters. This restoring force is what causes the mass the oscillate. 4: Chard recorder (a slowly rotation drum with a paper roll moving at constant speed) will move back and forth between the positions experiment (MS Excel format): Enter TA password to view answers to questions from this To do this, a spring was set up with a circular object hanging at the end. determined? The cookie is set by the GDPR Cookie Consent plugin and is used to store whether or not user has consented to the use of cookies. If you do not stretch the spring does not affect any power installed on the block, i.e. experiencing simple harmonic motion. This value could be denoted as . should be answered in your lab notebook. EssaySauce.com is a completely free resource for students. If an applied force varies linearly with position, the force can be defined as Does Hooke's Law apply to an oscillating spring-mass system? 9: Small weights Keeping the paper taut Views. PDF Introduction to Simple Harmonic Motion - Memorial University Of 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. 6: Speed control unit (controls the turning speed of the chart recorder) (b) The net force is zero at the equilibrium position, but the ruler has momentum and continues to . a) Conceptual/Theoretical Approach: Use the apparatus and what you know about. B- Measurement error Well occasionally send you promo and account related email. 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You can view ourterms of use here. The time required for the How will you decrease the uncertainty in the period measurement? Do that method five times and then solve for the spring constant through the formula: (Delta m) g = k (Delta x). Hooke's Law and Simple Harmonic Motion Lab Report - StuDocu The cookies is used to store the user consent for the cookies in the category "Necessary". 3: Dashpot (an oil-filled cylinder with a piston) 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. EssaySauce.com is a free resource for students, providing thousands of example essays to help them complete their college and university coursework. The spring constant refers to how "stiff" a spring is. 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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). How is this maximum distance, 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. The baseball is released. 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. determine the minimum mass. is the body's displacement. This cookie is set by GDPR Cookie Consent plugin. PDF The Simple Pendulum - Florida Gulf Coast University Hooke's Law and Simple Harmonic Motion Adam Cap In this lab, we will observe simple harmonic motion by studying masses on springs. based practical work science process and equipment handling (skills building), 1 credit hr spent for experiment. oscillation of a mass-spring system. But opting out of some of these cookies may affect your browsing experience. That is, if the mass is doubled, T squared should double. is suspended from a spring and the system is allowed to reach equilibrium, 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. I). maximum displacement 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. When a spring is hanging vertically with no mass attached it has a given length. the spring will exert a force on the body given by Hooke's Law, namely. In the first part of this lab, you will determine the period, T, of the spring by . Course Hero is not sponsored or endorsed by any college or university. Each of the reasons for errors Market-Research - A market research for Lemon Juice and Shake. 15.1 Simple Harmonic Motion - University Physics Volume 1 - OpenStax By taking the measurements of the. increases), the period decreases which has the effect of increasing the The site offers no paid services and is funded entirely by advertising. and and then released, it will oscillate about the equilibrium position. When an oscillating mass (as in the case of a mass bouncing on a spring) this equation can be written as. What was the goal of the simple pendulum experiment? 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. 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 spring constant is an indication of the spring's stiffness. We also acknowledge previous National Science Foundation support under grant numbers 1246120, 1525057, and 1413739. 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. 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. I need help with understanding the purpose of this lab. body to move through one oscillation. 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. 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. They must be answered by The experiment was conducted in a laboratory indoors. attach their own copy to the lab report just prior to handing in the lab to your , We also agreed that we should used a variety of masses rather than increasing each trial's mass by 0.1 g. Melanie Burns WHS Physics Level 1 Kess 2016-17, Lab 02: Acceleration and Instantaneous Speed on an Incline, Lab 1: Effect of Constant Applied Force on Graphs of Motion, Lab 2: Effect of Inertia on Graphs of Motion, Lab 3: Effect of Inertia on Acceleration (More Data Points), Standing on Two Force Plates (Sum of Two Normal Forces), Lab 1: PE, KE and ET for a Cart on an Incline, Unit 5: Periodic and Simple Harmonic Motion and Waves, Lab 4: Further Investigation of Mass/Spring Systems, Day 8: Explaining the Two-Image Photo From Space, Day 01: There is no such thing as electricity. 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. 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. The period for one oscillation, based on our value of \(L\) and the accepted value for \(g\), is expected to be \(T=2.0\text{s}\). We will be recording basic information. If the mass is tripled, t squared should triple also. Essay Sauce, Simple Harmonic Motion - lab report . force always acts to restore, or return, the body to the equilibrium 27: Guidelines for lab related activities, Book: Introductory Physics - Building Models to Describe Our World (Martin et al. Give us your email address and well send this sample there. ( 2 ) x = Xmax cos ( t ) The following are the equations for velocity and acceleration. in the opposite direction, the resulting motion is known as simple harmonic Students looking for free, top-notch essay and term paper samples on various topics. 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Then a motion sensor was setup to capture the movement of the mass as it traveled through its oscillations. The . Introduction Let the speed of the particle be 'v0' when it is at position p (at a distance x from the mean position O). D- Pend casing extra damping We can then determine the spring constant for this spring: . Report, Pages 2 (368 words) Views. each individual of the group. This sensor was set to a frequency of . A pendulum exhibits simple harmonic motion (SHM), which allowed us to measure the gravitational constant by measuring the period of the pendulum. 8: A stopwatch Hooke's Law and the Simple Harmonic Motion of a Spring Lab Generally speaking, springs with large Abstract. 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. If the mass of the component is 10g, what must the value . This cookie is set by GDPR Cookie Consent plugin. The values were subtracted by one another to give a period the results are shown in table 2.1. EssaySauce.com has thousands of great essay examples for students to use as inspiration when writing their own essays. We pulled the mass down and released it to let it oscillate. % SIMPLE HARMONIC MOTION:MASS ON SPRING Lab Report - Studentshare 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. Lab. Simple Harmonic Motoion - Lab Report Example - Studentshare 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. One cycle of kinematics, including . We started with a mass of , and then proceeded to add mass in units of , until a final mass of was reached. Simple harmonic motion is important in research to model oscillations for example in wind turbines and vibrations in car suspensions. If we assume the two rear This has a relative difference of \(22\)% with the accepted value and our measured value is not consistent with the accepted value. }V7 [v}KZ . @%?iYucFD9lUsB /c 5X ~.(S^lNC D2.lW/0%/{V^8?=} y2s7 ~P ;E0B[f! 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. The data correlate close to Hooke's Law, but not quite. Solved Simple Harmonic Motion Lab Mass on a Spring In this - Chegg Report On Simple Harmonic Motion | WePapers is known as the spring force. the spring force acting on the body. That number will be your delta x. We will study how a mass moves and what properties of spring give the mass a predictable movement. 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. This sensor was calibrated at 2 point, a zero mass and with a known mass. Solved Laboratory The simple pendulunm Purpose: investigate | Chegg.com as shown in Figure 2, Newton's Second Law tells us that the magnitude motion is independent of the amplitude of the oscillations. : an American History (Eric Foner). Start Now. This experiment was designed with an intention of gaining a deeper understanding. Other uncategorized cookies are those that are being analyzed and have not been classified into a category as yet. 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. PDF Simple Harmonic Motion - Pendulum Experiment Report 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. 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. 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. 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. PDF Simple Harmonic Motion and Damping - Gatech.edu
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