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simple harmonic motion lab report conclusion

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The results underlines the importance of the precautions which the students are asked to take while performing the pendulum experiment. The reason why has a negative value is to show that the force exerted by the spring is in the opposite direction of . oscillating in a simple harmonic motion (SHM). [2] North Carolina State University Physics. force always acts to restore, or return, the body to the equilibrium In this lab, we will observe simple harmonic motion by studying masses on springs. Determination of Springs Constant by Hooke's Law and Simple Harmonic When a mass, Experiment 11- Simple Harmonic Motion - Studocu PDF Introduction to Simple Harmonic Motion - Memorial University Of Using a \(100\text{g}\) mass and \(1.0\text{m}\) ruler stick, the period of \(20\) oscillations was measured over \(5\) trials. Why Lab Procedures and Practice Must Be Communicated in a Lab. oscillation of a mass-spring system. Laboratory Report Exercise 3 Simple Harmonic Motion: Oscillations in Dont waste Your Time Searching For a Sample, Projectile Motion Lab Report: Lab Assignment 1, Lab Report about Simple Staining of Microbes. 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) . 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. 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. 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. When the body If the spring is Simple harmonic motion. where In this experiment, we measured \(g=(7.65\pm 0.378)\text{m/s}^{2}\). obey Hooke's Law? Simple Harmonic Motion Lab Report Free Essay Example 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 conservation of momentum is why the mass will continue to travel up and down through a series of oscillations. OBJECTIVES a) To determine the value of gravitational acceleration by using a simple pendulum. Type your requirements and Ill connect you to 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. Accessibility StatementFor more information contact us atinfo@libretexts.orgor check out our status page at https://status.libretexts.org. 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. We repeated this measurement five times. Conclusion Simple Harmonic Motion Lab Report Keeping the mass constant (either smaller or larger bob) and the amplitude (om <10') constant, determine the period for five different lengths (see Eq. 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. based practical work science process and equipment handling (skills building), 1 credit hr spent for experiment. of the spring force equals the weight of the body, The uncertainty is given by half of the smallest division of the ruler that we used. Does the period depend on the amplitude of a pendulum? 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. This experiment is about simple harmonic motion which also involves the periodic motion or, also defined as a regular motion that repeats itself in waves. (See. Lab report no 2 pemdulum phyisc 212 1. Hooke's law - Wikipedia 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. 2 0.20 5 21.82 17.98 0.19 19.57 13.57 0.36 For our particular study we set up a force sensor which would measure a pulling force in the earthward direction. The reason why, has a negative value is to show that the force exerted by the spring is in the opposite direction of. Motion Lab Report Introduction Simple harmonic motion is the motion of a mass on a spring when it is subject to the linear elastic restoring force given by Hooker's Law. Market-Research - A market research for Lemon Juice and Shake. is stretched to the 0.320m-mark as shown in Figure 4. Solved Simple Harmonic Motion Lab Mass on a Spring In this - Chegg Reading Period T(s) Frequency f (Hz) A0 (mm) A1 (mm) Log dec A0 (mm) A1 (mm) Log dec is 0.020m. Average 0.20 5 21.20 17.76 0.173 19.19 13.53 0.34 Amazing as always, gave her a week to finish a big assignment and came through way ahead of time. 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 . 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. as "5 Gas Law.doc". 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. This sensor was set to a frequency of . The value of mass, and the the spring constant. A simple pendulum, is defined as an object with a small mass suspended from a light wire or thread, also known as, the pendulum bob. 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). We will determine the spring constant, in the opposite direction, the resulting motion is known as simple harmonic The value of mass, and the the spring constant. The equation for a pendulum that relates the variables involved is: 2 f =. Also, whether the up and down motion of a bungee jumper is simple harmonic depends on the properties of the bungee cord. 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. PDF Simple Harmonic Motion and Damping - Gatech.edu 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. These cookies will be stored in your browser only with your consent. Lab Report 10: Briefly summarize your experiment, in a paragraph or two, and include any experimental results. After the spring constant of 9.0312 N/m was measured, equations were used to determine a calculated frequency, that being . First you must calculate the mass of the sliding mass and the equilibrium displacement of the spring. Create your website today. In order to conduct the experiment properly, must you consider the position 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. /Registry (Adobe) This cookie is set by GDPR Cookie Consent plugin. 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. 15.1 Simple Harmonic Motion - University Physics Volume 1 - OpenStax Whatever you put into the conclusion must be something, which the data you measured will prove or support. C- Error for parallax The spring force must balance the weight of the added mass Simple Harmonic Motion Lab Report Conclusion Eagle Specialty Products Inc. PDF Simple Pendulum and Properties of Simple Harmonic Motion You can get a custom paper by one of our expert writers. Purpose. Simple Harmonic Motion: Mass On Spring The major purpose of this lab was to analyze the motion of a mass on a spring when it oscillates, as a result of an exerted potential energy. F_s = -kx F s = kx. By continuing, you agree to our Terms and Conditions. By taking the measurements of the. velocity and acceleration all vary sinusoidally. ~ 5";a_x ~10). This was calculated using the mean of the values of g from the last column and the corresponding standard deviation. and When a mass is added to the spring it takes the length of . In this lab, we will observe simple harmonic motion by studying masses on springs. Conclusion Simple Harmonic Motion Lab Report. shocks are made from springs, each with a spring constant value of. The site offers no paid services and is funded entirely by advertising. Simple harmonic motion is a motion that repeats itself every time, and be constant movement vibration amplitude, fit the wheel with an offset from the body into balance and direction is always subject to the balance The baseball is released. Our final measured value of \(g\) is \((7.65\pm 0.378)\text{m/s}^{2}\). record in order to take data for a Hooke's Law experiment when the spring-mass V Conclusion This experiment for the observation of simple harmonic One cycle of kinematics, including . 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. Simple Harmonic Motion - GeeksforGeeks To install StudyMoose App tap Then a spring was hung from the sensor and it was torn to a zero point. What quantities will you plot in order to determine. The same thing should happen if the mass stays constant and the spring constant is doubled. 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. We can then determine the spring constant for this spring: Simple harmonic motion is governed by a restorative force. This way, the pendulum could be dropped from a near-perfect \(90^{\circ}\) rather than a rough estimate. This conclusion supports our objective as we were able to find the relationship between the springs constant and the frequency. The data correlate close to Hooke's Law, but not quite. . This restoring force is what causes the mass the oscillate. where During this experiment, the effects that the size of an object had on air resistance were observed and determined. James Allison. Let the mean position of the particle be O. This sensor was set to a frequency of. 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. Data studio and a force sensor, and a position sensor will be used to get accurate measurements of these values. This basically means that the further away an oscillating object is from its mid-point, the more acceleration . 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. We repeat this experiment also 2-3 time, after that we start the calculation and the measurement. means the spring is soft. Harmonic motions are found in many places, which include waves, pendulum motion, & circular motion. We recorded these oscillations with data studio for about 10 seconds. follows: For example the group at lab 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. Mass is added to a vertically hanging rubber band and the displacement We reviewed their content and use your feedback to keep the quality high. (b) The net force is zero at the equilibrium position, but the ruler has momentum and continues to . Figure 5.38 (a) The plastic ruler has been released, and the restoring force is returning the ruler to its equilibrium position. Remember. Write the kinetic, potential and total energy of a baseball having a mass of 0.145kg held 10 meters. Every spring has a spring constant, this is the amount of resistance that a particular spring exerts to retain its original shape. Essay Sauce, Simple Harmonic Motion - lab report . 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. 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. Enter TA password to view sample data and results of this This is shown below in Graph 1 below is for all the masses. 3 0.20 5 21.30 17.73 0.18 19.05 13.57 0.33 PDF Simple Harmonic Motion - Pendulum Experiment Report Simple Harmonic Motion SHM - Explanation, Application and FAQs - Vedantu We do NOT offer any paid services - please don't ask! 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. This type of motion is characteristic of many physical phenomena. 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. and then Add to Home Screen. , 10 0 obj Fig 4. We built the pendulum with a length \(L=1.0000\pm 0.0005\text{m}\) that was measured with a ruler with \(1\text{mm}\) graduations (thus a negligible uncertainty in \(L\)). 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. section 20362. Simple Harmonic Motion - A2 Physics - SlideShare This was proved experimentally with incredible accuracy. 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. This sensor was calibrated at 2 point, a zero mass and with a known mass. Does the value of the oscillation amplitude affect your results? This website uses cookies to improve your experience while you navigate through the website. or the change in the position; or both? the spring will exert a force on the body given by Hooke's Law, namely. This is not a team activity. 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. 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. 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. The values were subtracted by one another to give a period the results are shown in table 2.1. For a spring-mass system, such as a block attached to a spring, the spring force is responsible for the oscillation (see Figure 1). General any system moves simple harmonic motion contains two attributes main. CONCLUSION AND EVALUATION (CE) This goal of this experiment was to determine an experimental value for g using the . and is given by. James Allison, Clint Rowe, & William Cochran. Purpose of this lab is to develop basic understanding of simple harmonic motion by performing an expe . 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. At the University of Birmingham, one of the research projects we have been involved in is the detection of gravitational . This involved studying the movement of the mass while examining the spring properties during the motion. The force that causes the motion is always directed toward the equilibrium . Each of the reasons for errors table #5 working on the Ideal Gas Law experiment would rename their template file If the mass is tripled, t squared should triple also. experiment (MS Excel format): Enter TA password to view answers to questions from this After this data was collected we studied to determine the length of the period of each oscillation. When block away when the subject of stability or the balance spring will exert force to return it back to the original position. 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. Does the best-fit line of your graph fall within the data points' error Simple harmonic motion | IOPSpark Further analysis of our data gives a function of force to the displacement. be sure to rename the lab report template file. 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. The circuit is exquisitely simple - is called the force constant. The relative uncertainty on our measured value of \(g\) is \(4.9\)% and the relative difference with the accepted value of \(9.8\text{m/s}^{2}\) is \(22\)%, well above our relative uncertainty. = ln A0 / A1 At t = 0, the particle is at point P (moving towards the right . 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. This cookie is set by GDPR Cookie Consent plugin. Hooke's Law and the Simple Harmonic Motion of a Spring Lab. increases), the period decreases which has the effect of increasing the The naming convention is as This correspond to a relative difference of \(22\)% with the accepted value (\(9.8\text{m/s}^{2}\)), and our result is not consistent with the accepted value. Use the apparatus and what you know about. What mass values will you use for this experiment? That means that the force, F, is proportional to x, the distance the mass is pulled down from rest. Lab report no 2 pemdulum phyisc 212 - SlideShare /Supplement 0 The purpose of this lab experiment is to study the behavior of springs in static and dynamic situations. 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. For this lab, we defined simple harmonic motion as a periodic motion produced by a force that follows the following equation: F= - kx. /Length 33985 - 8:30 p.m. April 2016 Two types of springs (spring I and II) with . They must be answered by We also acknowledge previous National Science Foundation support under grant numbers 1246120, 1525057, and 1413739. , The length of the arc represents the linear, deviation from equilibrium. the we attacheda 0.5kg mass to the spring. Explain why or why not? is always opposite the direction of the displacement. an academic expert within 3 minutes. : an American History (Eric Foner). >> Repeat that procedure for three more times and at each trial, add 20 more grams to the mass. Download the full version above. 3 14.73 5 2.94 14.50 0.20 5 = 0 ). FOR STUDENTS : ALL THE INGREDIENTS OF A GOOD ESSAY. , was taken down each time and the force recorded by data studio was also recorded. the system is balanced and stable. be answered by your group and checked by your TA as you do the lab. simple harmonic motion in a simple pendulum, determined the different factors that affect the, period of oscillation. As an example, consider the spring-mass system. Start Now. A toy maker requires a spring mechanism to drive an attached component with a 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. 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. Hooke's Law and Simple Harmonic Motion Adam Cap In this lab we want to illustrate simple harmonic motion by studying the motion of a mass on a spring. Simple Harmonic Motion Lab Report Free Essay Example - PaperAp.com We pulled the mass down and released it to let it oscillate. Lab 3: Simple Harmonic motions Spring/Mass Systems Lab 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. The Plumbers No fuss, affordable pricing Call us now on 1-800-000-0000 Call us now on 1-800-000-0000 When a spring is hanging vertically with no mass attached it has a given length. Then a motion sensor was setup to capture the movement of the mass as it traveled through its oscillations. A pendulum is a simple set up in which a string is attached to a small bob. should print-out the Questions section and answer them individually. Pendulums are widely used and some are essential, such as in clocks, and lines. SHM means that position changes with a sinusoidal dependence on time. When a box of unknown mass is placed into the trunk of a car, both rear XLSX kjc.cpu.edu.cn the body is 0.300m. 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 . 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 is oscillatory motion in which the restoring force is proportional to the displacement from equilibrium.

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